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X-WR-TIMEZONE:America/Los_Angeles
X-WR-CALNAME:Subscribe to this calendar
BEGIN:VTIMEZONE
TZID:America/Los_Angeles
TZUNTIL:20270314T100000Z
BEGIN:STANDARD
TZNAME:PST
DTSTART:20211107T020000
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
RDATE:20221106T020000
RDATE:20231105T020000
RDATE:20241103T020000
RDATE:20251102T020000
RDATE:20261101T020000
END:STANDARD
BEGIN:DAYLIGHT
TZNAME:PDT
DTSTART:20220313T020000
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
RDATE:20230312T020000
RDATE:20240310T020000
RDATE:20250309T020000
RDATE:20260308T020000
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BEGIN:VEVENT
UID:17d0af0f-6389-4d9d-a1dd-fe1df533aaaf
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220919T163451Z
DESCRIPTION:Speaker: Elizabeth Xiao\, University of British Columbia\n\nAbs
tract:\nPapadakis and Petrotou showed that anisotropy of a quadratic form
implies the Hard Lefschetz theorem for simplicial spheres in characteristi
c 2. In this talk\, I will explain how we used an integration map to defin
e a mixed volume on spheres\, which is linear over a connected sum decompo
sition. Using this decomposition\, we explicitly describe the quadratic fo
rm and prove an additional combinatorial conjecture of Papadakis and Petro
tou. This is joint work with Kalle Karu.\nNote: This talk begins with a pr
e-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts
at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeti
ng ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20221102T153000
DTEND;TZID=America/Los_Angeles:20221102T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:1
SUMMARY:: On the anisotropy theorem of Papadakis and Petrotou
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-02/anisotropy-theorem-papada
kis-and-petrotou
END:VEVENT
BEGIN:VEVENT
UID:9bfb7682-d0cf-45ea-aff0-0ef1b54c079c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20221103T170754Z
DESCRIPTION:Speaker: Kevin Tully\, University of Washington\n\nThe X-ray tr
ansform is a linear map that takes a function and integrates it over geode
sics ('shortest paths') on a manifold. This talk will address two question
s: \n1. Is the geodesic X-ray transform injective?\n2. If so\, can we ex
plicitly write down its inverse?\nWe will answer these questions in the Eu
clidean case (where geodesics are just straight lines) and more generally
for simple manifolds. We will also briefly touch on some of the applicatio
ns of this inverse problem to CT scans\, a medical imaging technique. This
talk is based on Geometric inverse problems\, with emphasis on two dimens
ions by Paternain\, Salo\, and Uhlmann.
DTSTART;TZID=America/Los_Angeles:20221103T123000
DTEND;TZID=America/Los_Angeles:20221103T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:2
SUMMARY:: The Geodesic X-Ray Transform in a Nutshell
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-03/geodesic-x-ray-transform-
nutshell
END:VEVENT
BEGIN:VEVENT
UID:c62f8eeb-ac75-4d54-9553-556eb6524f41
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20220920T152308Z
DESCRIPTION:Speaker: Annie Raymond\, UMass Amherst\n\nGraphs are ubiquitous
in modern applications---including some very large graphs. This leads one
to wonder\, 'How can we understand such large graphs?' One prevalent idea
is to observe them locally: to count how many times certain substructures
appear. If one knows something about the number of some particular substr
uctures in a graph\, what can one say about the number of other substructu
res or about global properties of the graph in general? Such problems are
at the heart of extremal graph theory. In this talk\, we will discuss succ
esses and challenges in proving inequalities involving these substructures
. We will also encounter graph profiles\, complicated objects that allow u
s to understand all polynomial inequalities involving some fixed set of su
bstructures.
DTSTART;TZID=America/Los_Angeles:20221104T153000
DTEND;TZID=America/Los_Angeles:20221104T163000
LAST-MODIFIED:20221012T181259Z
LOCATION:ECE 125
SEQUENCE:3
SUMMARY:: Understanding graphs locally
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-04/understanding-graphs-loca
lly
END:VEVENT
BEGIN:VEVENT
UID:bb48f304-4aba-4fb6-8376-10767f6811c0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221003T161020Z
DESCRIPTION:Speaker: Sascha Troscheit\, University of Oulu\n\nA result of B
enjamini and Schramm shows that the Hausdorff dimension of sets in one-dim
ensional random geometry given by multiplicative cascades satisfies an ele
gant formula dependent only on the random variable and the dimension of th
e set in Euclidean geometry.\nIn this talk we show that this holds for the
box-counting dimension when the set is sufficiently regular. This formula
however is not valid in general and we provide bounds on the dimension in
the random metric. We will also show that there is no hope for an exact f
ormula through a surprisingly simple family of countable sets (sequences a
ccumulating at 0). These examples show that the dimension with the random
metric depends on more structural information and that there cannot be a K
PZ equation for the box-counting dimension. \n(Joint with Kenneth Falconer
)
DTSTART;TZID=America/Los_Angeles:20221108T133000
DTEND;TZID=America/Los_Angeles:20221108T153000
LAST-MODIFIED:20221003T161020Z
LOCATION:PDL C-401
SEQUENCE:4
SUMMARY:: The box-counting dimension in one-dimensional random geometry of
multiplicative cascades
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-08/box-counting-dimension-on
e-dimensional-random-geometry-multiplicative-cascades
END:VEVENT
BEGIN:VEVENT
UID:81ae20e8-c773-4cb5-939d-e4ee4e5b8748
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221104T042342Z
DESCRIPTION:Speaker: Shiyue Li (Brown University)\n\nPre-seminar 1:45-2:30
\n\nTitle: A primer on Chow rings of wonderful varieties and matroids. \n
\nAbstract: I will introduce wonderful varieties\, matroids and their Chow
rings and do some very concrete examples and computations. I will also si
tuate these objects and their properties within the rich and recent develo
pments of combinatorial geometry by giving examples. \n\n\n\nSeminar 2:30-
3:20\nTitle: $K$-rings of wonderful varieties and matroids\nAbstract:\n\nT
he wonderful variety of a realizable matroid and its Chow ring have played
key roles in solving many long-standing open questions in combinatorics a
nd algebraic geometry. Yet\, its $K$-rings are underexplored until recentl
y. I will be sharing with you some discoveries on the $K$-rings of the won
derful variety associated with a realizable matroid: an exceptional isomor
phism between the $K$-ring and the Chow ring\, with integral coefficients\
, and a Hirzebruch–Riemann–Roch-type formula. These generalize a recent co
nstruction of Berget–Eur–Spink–Tseng on the permutohedral variety. We also
compute the Euler characteristic of every line bundle on wonderful variet
ies\, and give a purely combinatorial formula. This in turn gives a new va
luative invariant of an arbitrary matroid. As an application\, we present
the $K$-rings and compute the Euler characteristic of arbitrary line bundl
es of the Deligne–Mumford–Knudsen moduli spaces of rational stable curves
with distinct marked points. Joint with Matt Larson\, Sam Payne and Nick P
roudfoot.
DTSTART;TZID=America/Los_Angeles:20221108T134500
LAST-MODIFIED:20221104T042342Z
LOCATION:PDL C-38
SEQUENCE:5
SUMMARY:: $K$-rings of wonderful varieties and matroids
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-08/k-rings-wonderful-varieti
es-and-matroids
END:VEVENT
BEGIN:VEVENT
UID:b3c42fa2-afc2-4384-b3ba-969b3b280d9e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220919T163641Z
DESCRIPTION:Speaker: Marta Pavelka\, University of Miami\n\nAbstract:\nWe i
ntroduce “\(t\)-LC triangulated manifolds” as those triangulations obtaina
ble from a tree of \(d\)-simplices by recursively identifying two boundary
\((d-1)\)-faces whose intersection has dimension at least \(d - t - 1\).
The \(t\)-LC notion interpolates between the class of LC manifolds introdu
ced by Durhuus–Jonsson (corresponding to the case \(t = 1\))\, and the cla
ss of all manifolds (case \(t = d\)). Benedetti–Ziegler proved that there
are at most \(2^{N d^2}\) triangulated \(1\)-LC \(d\)-manifolds with \(N\)
facets. Here we show that there are at most \(2^{Nd^3/2}\) triangulated \
(2\)-LC \(d\)-manifolds with \(N\) facets.\nWe also introduce “\(t\)-const
ructible complexes”\, interpolating between constructible complexes (the c
ase \(t = 1\)) and all complexes (case \(t = d\)). We show that all \(t\)-
constructible pseudomanifolds are \(t\)-LC\, and that all \(t\)-constructi
ble complexes have (homotopical) depth larger than \(d - t\). This extends
the famous result by Hochster that constructible complexes are (homotopy)
Cohen–Macaulay.\nThis is joint work with Bruno Benedetti. Details of the
proofs and more can be found in our paper of the same title.\nNote: This t
alk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. T
he main talk starts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.u
s/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20221109T153000
DTEND;TZID=America/Los_Angeles:20221109T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:6
SUMMARY:: 2-LC triangulated manifolds are exponentially many
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-09/2-lc-triangulated-manifol
ds-are-exponentially-many
END:VEVENT
BEGIN:VEVENT
UID:f6bb362b-8ff1-4443-a8bf-e4e452b5f9cd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20221130T171756Z
DESCRIPTION:Speaker: Junaid Hasan\, University of Washington\n\nIn this tal
k we will explore the world of metric graphs: finite weighted graphs\, who
se edges can be thought of as line segments. In particular we will define
a Laplacian on metric graphs\, and study some important functions and meas
ures on metric graphs. Our special focus will be on the 'canonical measure
' which arises when we think of a metric graph as an electrical network.
DTSTART;TZID=America/Los_Angeles:20221110T123000
DTEND;TZID=America/Los_Angeles:20221110T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:7
SUMMARY:: Analysis on Metric Graphs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-10/analysis-metric-graphs
END:VEVENT
BEGIN:VEVENT
UID:8b659de4-9d10-405b-b06c-f3b240bec1ed
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220912T211246Z
DESCRIPTION:Speaker: Michelle Mastrianni\, University of Minnesota\n\nThe d
iscrepancy of a point set in the unit cube provides a measure of how well-
distributed the point set is. However\, precise behavior of the discrepanc
y strongly depends on the properties of the underlying collection of geome
tric test sets. In two dimensions\, the discrepancy with respect to axis-
parallel rectangles and rectangles rotated in arbitrary directions is well
-understood. The increased complexity of the latter collection leads to di
screpancy bounds of polynomial order\, in contrast to logarithmic order in
the axis-parallel case. In this talk we will examine the 'in between' and
study what happens when we restrict the allowed set of rotations to a sma
ller interval. We will discuss similarities between the directional discre
pancy and the discrepancy of certain classes of convex sets with particula
r smoothness properties. We will also touch on some bounds for even sparse
r classes of allowed rotations such as infinite sequences.
DTSTART;TZID=America/Los_Angeles:20221115T133000
DTEND;TZID=America/Los_Angeles:20221115T153000
LAST-MODIFIED:20221101T200851Z
LOCATION:PDL C-401
SEQUENCE:8
SUMMARY:: Lower bounds for the directional discrepancy
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-15/lower-bounds-directional-
discrepancy
END:VEVENT
BEGIN:VEVENT
UID:12bc7429-1346-4950-bd18-6c0373d139ec
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221115T185817Z
DESCRIPTION:Speaker: Sung-Gi Park (Harvard)\n\n\nPre-talk title: How many s
ingular fibers are there?\nAbstract: Given a family of varieties over a pr
ojective line\, I will introduce various results around the minimum number
of singular fibers.\n\nMain talk title: Kodaira dimension and hyperbolici
ty for smooth families of varieties\nAbstract: In this talk\, I will discu
ss the behavior of positivity\, hyperbolicity\, and Kodaira dimension unde
r smooth morphisms of complex quasi-projective manifolds. This includes a
vast generalization of a classical result: a fibration from a projective s
urface of non-negative Kodaira dimension to a projective line has at least
three singular fibers. Furthermore\, I will explain a proof of Popa's con
jecture on the superadditivity of the log Kodaira dimension over bases of
dimension at most three. These theorems are applications of the main techn
ical result\, namely the logarithmic base change theorem.
DTSTART;TZID=America/Los_Angeles:20221115T134500
LAST-MODIFIED:20221115T185817Z
LOCATION:PDL C-38
SEQUENCE:9
SUMMARY:: Kodaira dimension and hyperbolicity for smooth families of variet
ies
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-15/kodaira-dimension-and-hyp
erbolicity-smooth-families-varieties-0
END:VEVENT
BEGIN:VEVENT
UID:866b60cb-b258-4bc6-a21f-770cd48bb2e8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221115T185814Z
DESCRIPTION:Speaker: Sung-Gi Park (Harvard)\n\n\nPre-talk title: How many s
ingular fibers are there?\nAbstract: Given a family of varieties over a pr
ojective line\, I will introduce various results around the minimum number
of singular fibers.\n\nMain talk title: Kodaira dimension and hyperbolici
ty for smooth families of varieties\nAbstract: In this talk\, I will discu
ss the behavior of positivity\, hyperbolicity\, and Kodaira dimension unde
r smooth morphisms of complex quasi-projective manifolds. This includes a
vast generalization of a classical result: a fibration from a projective s
urface of non-negative Kodaira dimension to a projective line has at least
three singular fibers. Furthermore\, I will explain a proof of Popa's con
jecture on the superadditivity of the log Kodaira dimension over bases of
dimension at most three. These theorems are applications of the main techn
ical result\, namely the logarithmic base change theorem.
DTSTART;TZID=America/Los_Angeles:20221115T134500
LAST-MODIFIED:20221115T185814Z
LOCATION:PDL C-38
SEQUENCE:10
SUMMARY:: Kodaira dimension and hyperbolicity for smooth families of variet
ies
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-15/kodaira-dimension-and-hyp
erbolicity-smooth-families-varieties
END:VEVENT
BEGIN:VEVENT
UID:e58a7f1f-f935-4423-8743-f4bf67da8153
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220929T190741Z
DESCRIPTION:Speaker: Marissa Loving\, Wisconsin\n\nIn this talk we will dis
cuss how to build nice compact 3-manifolds from infinite-type surfaces usi
ng surface homeomorphisms. We will then use our knowledge of surfaces and
the dynamics of surface homeomorphisms to bound the volume of the 3-manifo
lds we create. This represents joint work with Elizabeth Field\, Autumn Ke
nt\, Heejoung Kim\, and Chris Leininger (in various configurations).
DTSTART;TZID=America/Los_Angeles:20221115T153000
DTEND;TZID=America/Los_Angeles:20221115T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:11
SUMMARY:: A handy guide to building compact 3-manifolds from infinite-type
surfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-15/handy-guide-building-comp
act-3-manifolds-infinite-type-surfaces
END:VEVENT
BEGIN:VEVENT
UID:07831e25-171d-4179-9861-5f7b185887a3
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20221109T174036Z
DESCRIPTION:: General Exam\n\nGLD 436\nGeneral Exam\nhttps://math.washingto
n.edu/events/2022-11-16/general-exam
DTSTART;TZID=America/Los_Angeles:20221116T130000
LAST-MODIFIED:20221109T174108Z
LOCATION:GLD 436
SEQUENCE:12
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-16/general-exam
END:VEVENT
BEGIN:VEVENT
UID:e25d9167-5027-4880-b41d-31aa60f4c6b0
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20221110T153613Z
DESCRIPTION:Speaker: Mark Bennett\n\nAdvisor: Bernard Deconick
DTSTART;TZID=America/Los_Angeles:20221116T150000
LAST-MODIFIED:20221110T153613Z
LOCATION:Lewis 208
SEQUENCE:13
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-16/general-exam-0
END:VEVENT
BEGIN:VEVENT
UID:67d8925f-e074-4d8d-9a17-0f6782345d8a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220919T163854Z
DESCRIPTION:Speaker: Melissa Sherman-Bennett\, Massachusetts Institute of T
echnology\n\nAbstract:\nBraid varieties are smooth affine varieties associ
ated to any positive braid. Special cases of braid varieties include Richa
rdson varieties\, double Bruhat cells\, and double Bott-Samelson cells. Cl
uster algebras are a class of commutative rings with a rich combinatorial
structure\, introduced by Fomin and Zelevinsky. I'll discuss joint work wi
th P. Galashin\, T. Lam and D. Speyer in which we show the coordinate ring
s of braid varieties are cluster algebras\, proving and generalizing a con
jecture of Leclerc in the case of Richardson varieties. Seeds for these cl
uster algebras come from '3D plabic graphs'\, which are bicolored graphs e
mbedded in a 3-dimensional ball and generalize Postnikov's plabic graphs f
or positroid varieties.\nNote: This talk begins with a pre-seminar (aimed
at graduate students) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zo
om Meeting: https://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5
974
DTSTART;TZID=America/Los_Angeles:20221116T153000
DTEND;TZID=America/Los_Angeles:20221116T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:14
SUMMARY:: 3D plabic graphs and cluster structures on type A braid varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-16/3d-plabic-graphs-and-clus
ter-structures-type-braid-varieties
END:VEVENT
BEGIN:VEVENT
UID:a839c6d1-5ac3-483c-9e9e-71fa80b548ed
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20221130T172425Z
DESCRIPTION:Speaker: Michelle Mastrianni\, University of Minnesota\n\nThe b
eautiful and classical problem of how to distribute points on the sphere \
$\mathbb{S}^2\$ as uniformly as possible has yielded several notions of 'w
ell-distributedness\,' including the (spherical cap) discrepancy and the R
iesz \$s\$-energy. We will first discuss some intriguing connections betwe
en the two notions. Then\, we will give some examples of deterministic poi
nt sets which have good (but not optimal) discrepancy\, including a constr
uction called HEALPix first introduced by astrophysicists in 2005 and rece
ntly studied by myself\, Damir Ferizovic\, and Julian Hofstadler. Finally\
, we will touch on the open problem of finding a deterministic point set w
hich does even better and matches the optimal discrepancy bound given by p
robabilistic constructions. In particular\, numerics suggest that a partic
ular 'greedily' chosen sequence appears to do very well in this regard.
DTSTART;TZID=America/Los_Angeles:20221117T123000
DTEND;TZID=America/Los_Angeles:20221117T133000
LAST-MODIFIED:20221130T172425Z
LOCATION:PDL C-401
SEQUENCE:15
SUMMARY:: Discrepancy and Energy on the Sphere
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-17/discrepancy-and-energy-sp
here
END:VEVENT
BEGIN:VEVENT
UID:22a3ec19-faa5-44a5-a505-a935da8db919
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions
CLASS:PUBLIC
CREATED:20221020T004140Z
DESCRIPTION:Speaker: Sara Billey (along with Andrea Ottolini\, Albert Arti
les\, Kevin Chien\, Jordan Weaver)\n\nThis event is aimed at students who
recently finished their prelims and/or are transitioning into the research
focused phase of the PhD program. We will discuss how to get started on
research\, the role of an advisor\, how to choose one\, suggestions for h
ow to use your research time\, etc. This talk will focus on general advic
e and encouragement. All are welcome to attend\, ask questions\, and sha
re their experiences. \n\nThe talk outline follows this essay: https://si
tes.math.washington.edu/~billey/advice/timely.fashion.pdf
DTSTART;TZID=America/Los_Angeles:20221117T163000
DTEND;TZID=America/Los_Angeles:20221117T173000
LAST-MODIFIED:20221117T043741Z
LOCATION:PDL C-38
SEQUENCE:16
SUMMARY:: Post-Prelim Chat
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-18/post-prelim-chat
END:VEVENT
BEGIN:VEVENT
UID:4f0758a8-79bf-4bd0-9e1e-75753a733bec
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20221109T001808Z
DESCRIPTION:Speaker: Yiping Hu\n\nAdvisor: Christopher Hoffman\n\n\n\n\n\n
\nTitle: Active Phase for the Stochastic Sandpile on Z
DTSTART;TZID=America/Los_Angeles:20221118T153000
LAST-MODIFIED:20221109T001808Z
SEQUENCE:17
SUMMARY:: FInal Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-18/final-exam
END:VEVENT
BEGIN:VEVENT
UID:45534d0b-8223-46ac-af45-a321407e670f
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20220825T151513Z
DESCRIPTION:Speaker: Jose Perea\, Northeastern University\n\nTopology is th
e branch of mathematics concerned with shapes and their spatial properties
. In this talk I’ll show how several ideas from classic algebraic topology
– like cohomology\, classifying spaces and vector bundles – can be used i
n machine learning tasks such as dimensionality reduction\, time series an
alysis and data alignment.
DTSTART;TZID=America/Los_Angeles:20221118T153000
DTEND;TZID=America/Los_Angeles:20221118T163000
LAST-MODIFIED:20221109T211506Z
LOCATION:ECE 125
SEQUENCE:18
SUMMARY:: The underlying topology of data
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-18/underlying-topology-data
END:VEVENT
BEGIN:VEVENT
UID:981383d7-120f-4254-afb4-bb914166d4ad
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221116T010316Z
DESCRIPTION:Speaker: Sándor Kovács (UW)\n\nPre-seminarTitle: Grothendieck d
uality and moduli spacesAbstract: Grothendieck duality is a far reaching a
nd extremely useful generalization of Serre duality. Unfortunately\, it is
also (or perhaps accordingly) rather technical. My main goal in this talk
is to roughly explain the setup\, the ingredients\, and how one might use
this powerful tool in concrete situations. Time permitting I will also ta
lk about moduli spaces of higher dimensional varieties and how these topic
s are related.\n\nSeminarTitle: Deformations of singularities\, KSB stabil
ity\, and flatnessAbstract: I will talk about several results\, joint with
Kollár\, regarding deformations of singularities relevant for moduli spac
es of canonically polarized varieties\, and some consequences. A central p
layer of this area is a class of singularities\, called Du Bois singularit
ies\, whose definition does not seem to belong here\, yet they are fundame
ntally important to the construction and understanding of these moduli spa
ces.
DTSTART;TZID=America/Los_Angeles:20221122T134500
LAST-MODIFIED:20221119T151306Z
LOCATION:PDL C-38
SEQUENCE:19
SUMMARY:: Deformations of singularities\, KSB stability\, and flatness
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-22/deformations-singularitie
s-ksb-stability-and-flatness
END:VEVENT
BEGIN:VEVENT
UID:c57e757b-ab9f-4a5a-bed4-9289cce7d884
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221003T195705Z
DESCRIPTION:: TBA\n\nPDL C-401\nSeminars\nhttps://math.washington.edu/event
s/2022-11-22/tba
DTSTART;TZID=America/Los_Angeles:20221122T153000
DTEND;TZID=America/Los_Angeles:20221122T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:20
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-22/tba
END:VEVENT
BEGIN:VEVENT
UID:c390e95d-0e9a-4c91-b241-567b24c42c6c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221122T000101Z
DESCRIPTION:Speaker: Jihao Liu (Northwestern)\n\nPre-talk title: How the mi
nimal model program works\nAbstract: In this pre-talk\, I will explain how
to run the minimal model program and introduce some basic concepts in the
minimal model program. \nTalk title: Minimal model program for generalize
d pairs\nAbstract: Generalized pairs\, an analogue of pairs and varieties\
, were first introduced by Birkar and Zhang in the study of effective Iita
ka fibrations and had later played a crucial role in Birkar’s proof of the
Borisov-Alexeev-Borisov conjecture and other important questions. This st
ructure naturally appears in birational geometry via the canonical bundle
formula. The minimal model program (MMP) for generalized pairs is a centra
l topic in modern day MMP. In this talk\, I will show that we can run MMPs
for generalized pairs with log canonical singularities by establishing th
e cone theorem\, contraction theorem\, and the existence of flips for gene
ralized pairs. This extends the MMP to its wildest category of structures
which naturally appear in birational geometry. If time admits\, I may prov
ide some proofs and applications of the results. The talk is based on join
t works with Christopher D. Hacon and Lingyao Xie.
DTSTART;TZID=America/Los_Angeles:20221129T134500
LAST-MODIFIED:20221122T000101Z
LOCATION:PDL C-38
SEQUENCE:21
SUMMARY:: Minimal model program for generalized pairs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-29/minimal-model-program-gen
eralized-pairs
END:VEVENT
BEGIN:VEVENT
UID:2e014671-8410-4b1f-adf4-373bcf049832
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221126T223418Z
DESCRIPTION:: Assembly in the Algebraic K-theory of Lawvere Theories\n\nPDL
C-401\nSeminars\nhttps://math.washington.edu/events/2022-11-29/assembly-a
lgebraic-k-theory-lawvere-theories
DTSTART;TZID=America/Los_Angeles:20221129T153000
DTEND;TZID=America/Los_Angeles:20221129T163000
LAST-MODIFIED:20221126T223606Z
LOCATION:PDL C-401
SEQUENCE:22
SUMMARY:: Assembly in the Algebraic K-theory of Lawvere Theories
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-29/assembly-algebraic-k-theo
ry-lawvere-theories
END:VEVENT
BEGIN:VEVENT
UID:6298a4c5-05c4-4ced-9d66-c15383b0dc40
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220919T163921Z
DESCRIPTION:Speaker: Bridget Tenner\, DePaul University\n\nAbstract:\nFasci
nating objects can arise as variants of well-studied ones. In 2017\, Brent
i and Carnevale introduced an odd analogue of the classical permutation di
agram. This gives rise to odd analogues of other permutation aspects\, lik
e length and inversions. These odd analogues do not behave exactly like th
eir classical cousins and\, in particular\, multiple permutations can have
the same odd diagram. This prompts the study of 'odd diagram classes:' se
ts of permutations having the same odd diagram. We will discuss the rich c
ombinatorial structure of these classes\, including connections to pattern
avoiding permutations and the Bruhat order.This is joint work with France
sco Brenti and Angela Carnevale.\nNote: This talk begins with a pre-semina
r (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.
\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID: 9
15 4733 5974
DTSTART;TZID=America/Los_Angeles:20221130T153000
DTEND;TZID=America/Los_Angeles:20221130T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:23
SUMMARY:: Odd diagrams and patterns
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-11-30/odd-diagrams-and-patterns
END:VEVENT
BEGIN:VEVENT
UID:2be1b2e2-6dd9-4f36-b82c-7e1a8e8e5174
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20221130T172909Z
DESCRIPTION:Speaker: Jacob Ogden\, University of Washington\n\nA calibratio
n is a closed \$p\$-form on a Riemannian manifold which is “smaller” than
the volume form on any \$p\$-dimensional submanifold. The notion of a cali
bration was introduced by Harvey and Lawson and arises in the study of min
imal submanifolds. In this talk\, we’ll discuss some examples of calibrati
ons and what they can tell us about minimal submanifolds\, and then we’ll
focus on one particular calibration which gives rise to the special Lagran
gian equation\, an interesting example of a fully nonlinear elliptic parti
al differential equation.
DTSTART;TZID=America/Los_Angeles:20221201T123000
DTEND;TZID=America/Los_Angeles:20221201T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:24
SUMMARY:: Minimal surfaces\, calibrations\, and the special Lagrangian equa
tion
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-12-01/minimal-surfaces-calibrat
ions-and-special-lagrangian-equation
END:VEVENT
BEGIN:VEVENT
UID:cb46f9d5-1c48-471a-8e53-11aca0e334fd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20221202T215517Z
DESCRIPTION:Speaker: Sándor Kovács\n\nTitle: What are...slc and DB singular
ities?\n\nAbstract: I will explain how and why slc singularities are a goo
d choice when we want to compactify moduli spaces. This will (finally) inc
lude a definition as well. I will also explain what Du Bois singularities
are and why they are useful\, especially for moduli questions. Time permit
ting I will also talk about Grothendieck duality and singularities with li
ftable local cohomology. Grothendieck duality is an important tool for stu
dying these singularities\, but it is likely that we will not get too far
into that aspect in this talk. However\, I hope to show at least one cool
(and quick) application of it.
DTSTART;TZID=America/Los_Angeles:20221206T133000
LAST-MODIFIED:20221202T215517Z
LOCATION:PDL C-38
SEQUENCE:25
SUMMARY:: What are...slc and DB singularities?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-12-06/what-areslc-and-db-singul
arities
END:VEVENT
BEGIN:VEVENT
UID:7a63a9e5-f0f0-4097-839c-f66f1a890a36
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20211026T222503Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
Diversity Committee - Shokrieh\n\n\nCommittee Reports\n\nGraduate Program
Committee - Lieblich\n\n\nNew Business\nExecutive Session\nAdjournment\n\n
MINUTES\nThe regular meeting of the faculty of the Department of Mathemati
cs was held in-person in C-38 Padelford Hall and virtually via Zoom at 3:
30pm PST\, December 6\, 2022. John Palmieri\, Chair\, presided at the meet
ing. Rose Choi was recording secretary. \nThe meeting began with approval
of the previous meeting’s minutes.\nChair's Remarks\nThe beer bash is this
Friday\, December 9\, at 3:30pm in HUB 250. All staff\, grad students\, a
nd faculty are welcome.\nIt looks like we’ll be able to hire at least two
postdocs this year. Faculty will be updated if this changes.\nThe hiring c
ommittee (John Palmieri\, Ken Bube\, and Matt Conroy) for the teaching-str
eam assistant professor position is conducting their initial review of app
lications. All voting faculty should be able to access these files on Inte
rfolio. Please send any comments or questions regarding the applicants to
the committee. We hope to pare down the list by early January.\nThe fundin
g structure for the summer budget was changed two years ago wherein the in
dividual departments would be responsible for covering their costs on thei
r own. The previous summer left the department in a large deficit which th
e College was able to cover\; however\, this highlighted the need for a ch
ange in how the department has run its summer programs and offerings. Cons
olidating some courses\, eliminating others (e.g. “for credit” prelim prep
)\, and creating a flat salary for summer teaching would help streamline t
he program and create a more manageable budget.\nThe draft for the hiring
plan was sent out to faculty for review. The tentative plan for next year
is for three tenure-track positions.\nAnnouncements\nThe Diversity Committ
ee is scheduled to meet with Dr. Maya Angela Smith\, the new Associate Dea
n for Equity\, Justice and Inclusion\, and would like to remind faculty to
send in their responses to the email from Farbod Shokrieh before January.
If you have done any outreach or diversity work connected to the departme
nt\, please share this info with the committee.\nCommittee Reports\nThe Gr
aduate Program Committee would like remind those interested in course sche
duling by group to first register yourself with those groups that you woul
d like to discuss courses with. Please be sure to fill out the forms regar
ding this set-up that were sent out via email. Further details will follow
.\nAll requests for seventh-year funding for next year have been approved.
New students will now be advised that they are funded for up to six years
.\nPrelims and core courses are being rethought. Please send comments and
suggestions to the committee.\nADJOURNMENT\nThere being no new business\,
the meeting passed into executive session at 3:59pm.
DTSTART;TZID=America/Los_Angeles:20221206T153000
DTEND;TZID=America/Los_Angeles:20221206T163000
LAST-MODIFIED:20230103T213856Z
LOCATION:PDL C-38 & Zoom
SEQUENCE:26
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-12-06/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:dfdf06ca-c96c-4634-8531-e47ed562d1f5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220919T164041Z
DESCRIPTION:Speaker: Max Hlavacek\, University of California Berkeley\n\nAb
stract:\nIn geometric\, algebraic\, and topological combinatorics\, we oft
en study the unimodality of combinatorial generating polynomials\, which i
n turn follows when the polynomial is (real) stable\, a property often ded
uced via the theory of interlacing polynomials. Motivated by a conjecture
of Brenti and Welker on the real-rootedness of the -polynomial of the bary
centric subdivision of the boundary complex of a convex polytope\, we intr
oduce a framework for proving real-rootedness of h-polynomials for subdivi
sions of polytopal complexes by relating interlacing polynomials to shella
bility via the existence of so-called stable shellings. We show that any s
hellable cubical\, or simplicial\, complex admitting a stable shelling has
barycentric and edgewise (when well-defined) subdivisions with real-roote
d h-polynomials. Such shellings are shown to exist for well-studied famili
es of cubical polytopes\, giving a positive answer to the conjecture of Br
enti and Welker in these cases. The framework of stable shellings is also
applied to answer to a conjecture of Mohammadi and Welker on edgewise subd
ivisions in the case of shellable simplicial complexes\,\nNote: This talk
begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The m
ain talk starts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/
91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20221207T153000
DTEND;TZID=America/Los_Angeles:20221207T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:27
SUMMARY:: Subdivisions of Shellable Complexes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2022-12-07/subdivisions-shellable-co
mplexes
END:VEVENT
BEGIN:VEVENT
UID:c4628cdf-eb35-4640-9b0a-5609a7f0ee8d
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213410Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
Mathday - Ostroff\n\n\nCommittee Reports\nNew Business\nExecutive Session
\nAdjournment\n\nMINUTES\nThe regular meeting of the faculty of the Depart
ment of Mathematics was held in-person in C-38 Padelford Hall and virtual
ly via Zoom at 3:30pm PST\, January 3\, 2023. John Palmieri\, Chair\, pres
ided at the meeting. Rose Choi was recording secretary. \nThe meeting bega
n with approval of the previous meeting’s minutes.\nChair's Remarks\nThe d
eadline to submit a nominee for the postdoctoral search is Monday. Please
send an email to the search chair\, James Zhang.\nAs a reminder\, you can
sort the nominees by field by going to “Filter by Form Response” then sele
cting the “AMS subject classification” option. \nWashington State has rais
ed the overtime-exempt salary threshold for state employees which includes
postdocs but not faculty. Therefore\, their salaries will be increased ne
xt year which may lead to fewer hires in future years unless additional fu
nding is received.\nTeaching-stream applications are being reviewed. If yo
u see any candidates whom you’d like to discuss or know more about\, pleas
e reach out to the search committee (John Palmieri\, Ken Bube\, and Matt C
onroy).\nAnnouncements\nMath Day is running again this year on March 20th
and student volunteers are needed. Approximately 1500 students from across
the state are anticipated to attend and volunteers help guide these group
s around campus\, as well as\, assist with lectures and activities. Studen
ts are not required to have a background in math nor have any prior experi
ence. Please contact Jonah Ostroff if interested.\nADJOURNMENT\nThere bein
g no new business\, the meeting passed into executive session at 3:42pm.
DTSTART;TZID=America/Los_Angeles:20230103T153000
LAST-MODIFIED:20230201T234705Z
LOCATION:PDL C-38 & Zoom
SEQUENCE:28
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-03/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:78f21efe-a8fb-4250-84e9-588905b6ec10
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230103T063640Z
DESCRIPTION:Speaker: Jason Murphy (Missouri University of Science and Techn
ology)\n\nCubic nonlinear Schrödinger equations (NLS) comprise a class of
dispersive PDE that appear in a wide range of physical settings\, includin
g nonlinear optics and Bose—Einstein condensation. These equations admit a
rich set of dynamics\, including scattering/decay\, blowup\, and soliton
solutions. A fundamental problem in dispersive PDE is the classification o
f general solution behaviors. In this talk\, we will discuss the classific
ation of solution behaviors at or below a mass-energy threshold determined
by the ground state soliton. After reviewing the state of the field for t
he standard cubic NLS\, we will discuss how the situation changes when one
considers several important variants of this equation\, including the add
ition of external potentials as well as higher order nonlinear perturbatio
ns. This talk will discuss several joint works\, including work with B. Do
dson\; R. Killip and M. Visan\; and C. Miao and J. Zheng.
DTSTART;TZID=America/Los_Angeles:20230110T160000
DTEND;TZID=America/Los_Angeles:20230110T170000
LAST-MODIFIED:20230106T214750Z
LOCATION:PDL C-38
SEQUENCE:29
SUMMARY:: Sharp Scattering Results for the Cubic Nonlinear Schrödinger Equa
tion (Joint with IP seminar)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-11/sharp-scattering-results-
cubic-nonlinear-schrodinger-equation-joint-ip-seminar
END:VEVENT
BEGIN:VEVENT
UID:c9c04e9a-d434-447e-bd18-6dcfd50b5b27
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230108T002718Z
DESCRIPTION:Speaker: Stefan Steinerberger\, University of Washington\n\nAbs
tract:\nThe goal of this talk is to present notions of boundary and curvat
ure on combinatorial graphs. These will lead to some nice new theorems\,
at least some of which connected to game theory\, as well as a whole bunch
of fun open problems and some mysterious phenomena (certain linear system
s of equations being solvable (why?)\, certain eigenvectors of matrices be
ing nearly constant (why?)\, the existence of tiny subsets of vertices wit
h magic properties (why??)). I promise lots of pictures of graphs.\nNote:
This talk begins with a pre-seminar (aimed at graduate students) at 4:00–
4:30. The main talk starts at 4:40.\nJoin Zoom Meeting: https://washington
.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230111T160000
DTEND;TZID=America/Los_Angeles:20230111T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:30
SUMMARY:: Problems around Combinatorial Graphs and Distance Geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-12/problems-around-combinato
rial-graphs-and-distance-geometry
END:VEVENT
BEGIN:VEVENT
UID:dd0e94e4-df95-416e-9d3e-2f619b0b92f3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230109T214800Z
DESCRIPTION:Speaker: Ryan Bushling\, University of Washington\n\nThe Kakeya
problem of geometric measure theory asks the following: for \$n \geq 2\$\
, does there exist a Borel set \$B \subset \mathbb{R}^n\$ such that (1) \$
B\$ contains a line segment of unit length in every direction and (2) \$\m
athcal{L}^n(B) = 0\$? Mathematicians have constructed many examples of suc
h Besicovitch sets since the question was first posed\, but related proble
ms remain wide open\, including the validity of the famous Kakeya conjectu
re contending that every Besicovitch set in \$\mathbb{R}^n\$ has Hausdorff
dimension \$n\$. In this expository talk\, we survey the history of the K
akeya problem\, prove some rudimentary results in support of the Kakeya co
njecture\, and discuss some of its applications to harmonic analysis.
DTSTART;TZID=America/Los_Angeles:20230112T123000
DTEND;TZID=America/Los_Angeles:20230112T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:31
SUMMARY:: Graduate Student Analysis Seminar: This lecture contains a lot of
overlap (but not too much): A friendly introduction to the Kakeya problem
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-12/graduate-student-analysis
-seminar-lecture-contains-lot-overlap-not-too-much
END:VEVENT
BEGIN:VEVENT
UID:6a8888ce-3993-4d13-b200-d9e889b4cc69
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230215T001618Z
DESCRIPTION:Speaker: Justin Bloom\, University of Washington\n\nWe will loo
k at a geometric tool called support\, and explore\, through examples of m
odules over PIDs\, its connection to classification (the structure theorem
). We will compute cohomology groups\; this talk is dual to the presentati
on on local cohomology given in Algebraic Structures last quarter. We will
only compute using elementary abelian groups by hand\, but some of us may
see shadows of the theorems discussed in that presentation.\nZoom Link: h
ttps://washington.zoom.us/j/92849568892\n
DTSTART;TZID=America/Los_Angeles:20230113T143000
DTEND;TZID=America/Los_Angeles:20230113T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:32
SUMMARY:: 1-2-3 Seminar: Support and Structure
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-13/1-2-3-seminar-support-and
-structure
END:VEVENT
BEGIN:VEVENT
UID:dc256027-1e71-4de1-8366-186e37a21db6
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221109T211342Z
DESCRIPTION:Speaker: Sergey Fomin\, University of Michigan\n\nA nodal real
algebraic curve in the affine plane is called expressive if its defining p
olynomial has the smallest number of critical points that is allowed by th
e topology of the set of real points of the curve. This notion can be view
ed as a 'global' counterpart of the 'local' notion of a real morsification
of an isolated singularity of a plane curve.\nWe establish a criterion fo
r expressivity of a curve\, describe several constructions that produce ex
pressive curves\, and relate their study to the combinatorics of links\, q
uiver mutations\, and planar bicolored graphs. This is joint work with E.
Shustin.
DTSTART;TZID=America/Los_Angeles:20230113T153000
LAST-MODIFIED:20221229T200832Z
LOCATION:ECE 125
SEQUENCE:33
SUMMARY:: Expressive curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-13/expressive-curves
END:VEVENT
BEGIN:VEVENT
UID:642a43c7-dc37-499b-9640-2bbd80d3724c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230105T193904Z
DESCRIPTION:Speaker: Nicholas Rome\, University of Michigan\n\nAbstract\nI
will discuss recent joint work with Dan Loughran and Efthymios Sofos\, in
which we propose a new conjecture for how many members of a family of vari
eties have points in all completions of Q. I will illustrate the conjectur
e by discussing an important new instance in which we have shown that it h
olds: the family of diagonal planar conics. This resolves an old problem o
f Serre.
DTSTART;TZID=America/Los_Angeles:20230117T110000
DTEND;TZID=America/Los_Angeles:20230117T120000
LAST-MODIFIED:20230110T221910Z
LOCATION:MEB 243
SEQUENCE:34
SUMMARY:: How often do equations have everywhere local solutions?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-17/how-often-do-equations-ha
ve-everywhere-local-solutions
END:VEVENT
BEGIN:VEVENT
UID:29842e99-e844-4865-be84-5274995f714d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230113T233351Z
DESCRIPTION:Speaker: Justin Lacini\n\nTitle pre-talk: Syzygies of adjoint l
inear series on projective varieties\n\nAbstract pre-talk: We overview the
basic techniques in the study of syzygies of algebraic varieties and reca
ll a proof of Green’s theorem as an important example of their application
.\n\nTitle talk: Syzygies of adjoint linear series on projective varieties
\nAbstract tak: Syzygies of algebraic varieties have long been a topic of
intense interest among algebraists and geometers alike. Starting with the
pioneering work of Mark Green on curves\, numerous attempts have been made
to extend these results to higher dimensions. Ein and Lazarsfeld proved t
hat if A is a very ample line bundle\, then K_X + mA satisfies property N_
p for any m>=n+1+p. It has ever since been an open question if the same ho
lds true for A ample and basepoint free. In joint work with Purnaprajna Ba
ngere we give a positive answer to this question.
DTSTART;TZID=America/Los_Angeles:20230117T134500
LAST-MODIFIED:20230113T233351Z
LOCATION:PDL C-38
SEQUENCE:35
SUMMARY:: Syzygies of adjoint linear series on projective varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-17/syzygies-adjoint-linear-s
eries-projective-varieties
END:VEVENT
BEGIN:VEVENT
UID:e130d545-8282-4e30-9d9e-6d204c5dfb91
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230108T003345Z
DESCRIPTION:Speaker: Kyle Ormsby\, University of Washington\n\nAbstract:\nA
fter delivering a short manifesto on the nature of contemporary homotopy t
heory — no longer a subfield of topology! — I will introduce two homotopic
al structures amenable to combinatorial study. Transfer systems are centra
l to equivariant derived algebraic geometry\, but admit an elementary desc
ription as ideal-like sub-posets of lattices. Model structures underpin th
e entirety of homotopy theory\, but it is a recent discovery that they ari
se as special intervals in the lattice of transfer systems when the underl
ying category is a poset. Both transfer systems and model structures exhib
it striking connections with Catalan-type enumerative combinatorics\, and
this talk can be viewed as an invitation for combinatorialists to contribu
te to homotopy theory by applying their tools in this arena. Portions of t
his work are joint with Balchin\, Franchere\, Hafeez\, MacBrough\, Marcus\
, Osorno\, Qin\, Roitzheim\, and Waugh.\nNote: This talk begins with a pre
-seminar (aimed at graduate students) at 4:00–4:30. The main talk starts a
t 4:40.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meetin
g ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230118T160000
DTEND;TZID=America/Los_Angeles:20230118T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:36
SUMMARY:: Transfer systems and model structures for combinatorialists
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-19/transfer-systems-and-mode
l-structures-combinatorialists
END:VEVENT
BEGIN:VEVENT
UID:dd6ffe04-af94-40de-9ea9-97b1e15559e8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230117T001633Z
DESCRIPTION:Speaker: Linhang Huang\n\nAssigning i.i.d. weights to the neare
st neighbor edges in \$\mathbb{Z}^d\$ gives rise to one of the most natura
l random metrics on \$\mathbb{Z}^d\$. Despite the metric being easily cons
tructible\, it has some surprising geometric properties due to the complic
ated dependence relation with shortest paths. In this talk\, we will explo
re some well-known results of this metric in the study of First Passage Pe
rcolation such as the convergence of balls and the number of infinite geod
esics\, as well as the techniques used to prove them.
DTSTART;TZID=America/Los_Angeles:20230119T123000
DTEND;TZID=America/Los_Angeles:20230119T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:37
SUMMARY:: Graduate Student Analysis Seminar: Limits and Geodesics in First
Passage Percolation Models
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-19/graduate-student-analysis
-seminar-limits-and-geodesics-first-passage-percolation
END:VEVENT
BEGIN:VEVENT
UID:e74e3117-4af8-4f7f-a0ec-3b4fa2b651f7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230308T170254Z
DESCRIPTION:Speaker: Cameron Wright (University of Washington)\n\nAlgebraic
curves are a central class of objects in algebraic geometry. Smooth curve
s in particular are a well-understood class of curves\, and possess a robu
st moduli theory. On the other hand\, curves with (nodal) singularities ar
e somewhat less well-behaved\; still\, these curves feature prominently in
modern algebraic geometry\, in particular in the context of the Deligne-M
umford compactification of the moduli space of smooth curves. As such\, it
is of great interest to understand curves with these mild singularities.
Over the past century\, it became clear to algebraic geometers that much c
ould be gained from studying combinatorial objects derived from these curv
es. In this talk\, we survey this combinatorial approach and\, if time per
mits\, compare the construction of Jacobians in both the algebraic and com
binatorial settings.
DTSTART;TZID=America/Los_Angeles:20230120T103000
DTEND;TZID=America/Los_Angeles:20230120T112000
LAST-MODIFIED:20240822T184151Z
LOCATION:Thomson Hall (THO) 325
SEQUENCE:38
SUMMARY:: Combinatorial Algebraic Geometry: Algebraic Curves\, Dual Graphs\
, and Jacobians Thereof
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-20/combinatorial-algebraic-g
eometry-algebraic-curves-dual-graphs-and-jacobians
END:VEVENT
BEGIN:VEVENT
UID:37a69559-f1b8-46d8-ac6e-b372dfd867c5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230215T001728Z
DESCRIPTION:Speaker: Leo Mayer\, University of Washington\n\nI will give a
brief overview of the theory of varieties and motivate why the theory of s
chemes is more flexible. I will then give an overview of the theory of Grö
bner bases\, and as an application I will construct a variety/scheme whose
points correspond to configurations of points in the plane. No background
in algebraic geometry is assumed.\nZoom Link: https://washington.zoom.us/
j/92849568892
DTSTART;TZID=America/Los_Angeles:20230120T143000
DTEND;TZID=America/Los_Angeles:20230120T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:39
SUMMARY:: 1-2-3 Seminar: Nilpotence\, Gröbner Bases\, and Hilbert Schemes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-20/1-2-3-seminar-nilpotence-
grobner-bases-and-hilbert-schemes
END:VEVENT
BEGIN:VEVENT
UID:2575f686-f3f4-465c-a803-48e53fcbb399
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230111T165816Z
DESCRIPTION:Speaker: Sam Streeter\, University of Bristol\n\nAbstract:\nLoc
al-global principles in arithmetic geometry have been of great interest ev
er since the proof of the Hasse--Minkowski theorem\, concerning quadric hy
persurfaces\, almost 100 years ago. A new and exciting chapter began with
the introduction of the Brauer--Manin obstruction (BMO) in the 1970s\, whi
ch can explain the failure of such principles. In 2007\, Colliot-Th\'el\`e
ne and Xu developed a version of the BMO for integral points and studied i
t in the context of affine quadrics. In this talk\, we will introduce semi
-integral points and develop both local-global principles and the BMO in t
he semi-integral context. We will give general results for this obstructio
n before focusing on semi-integral points associated to quadrics\, in keep
ing with historical precedent. This talk is based on joint work with Vladi
mir Mitankin and Masahiro Nakahara.
DTSTART;TZID=America/Los_Angeles:20230124T110000
DTEND;TZID=America/Los_Angeles:20230124T120000
LAST-MODIFIED:20230112T202901Z
LOCATION:Virtual
SEQUENCE:40
SUMMARY:: Semi-integral points and local-global principles
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-24/semi-integral-points-and-
local-global-principles
END:VEVENT
BEGIN:VEVENT
UID:d0a356ad-bcec-4392-8405-3b5803199d84
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230119T215034Z
DESCRIPTION:Speaker: Minseon Shin\n\n\nPretalk title: Brauer groups\nPretal
k abstract: I will give a brief discussion of Brauer groups\, gerbes\, and
twisted sheaves.\n\nMain talk title: A geometric Hasse principle for the
Brauer group\nMain talk abstract: We consider a geometric Hilbertian prope
rty for the Brauer group\, extending earlier work of Fein\, Saltman\, Scha
cher on Brauer-Hilbertian fields. We prove that\, for a complex variety S
of dimension at least 4 and a Brauer class \alpha \in Br(S)\, there exist
infinitely many codimension 1 points s \in S such that the specialization
\alpha|_s \in Br(kappa(s)) has the same period as \alpha. This is joint wo
rk with Danny Krashen and Max Lieblich.
DTSTART;TZID=America/Los_Angeles:20230124T134500
LAST-MODIFIED:20230124T002914Z
LOCATION:PDL C-38
SEQUENCE:41
SUMMARY:: A geometric Hasse principle for the Brauer group
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-24/geometric-hasse-principle
-brauer-group
END:VEVENT
BEGIN:VEVENT
UID:b9e13977-2563-46ac-ad23-a715eba1b6bc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230118T020058Z
DESCRIPTION:Speaker: Gaku Liu\, University of Washington\n\nAbstract:\n\nAn
integral polytope is a polytope whose vertices have integer coordinates.
A unimodular triangulation of an integral polytope in \$\mathbb R^d\$ is a
triangulation in which all simplices are integral with volume \$1/d!\$. A
classic result of Kempf\, Mumford\, and Waterman states that for every in
tegral polytope \$P\$\, there exists a positive integer \$c\$ such that \$
cP\$ has a unimodular triangulation. We strengthen this result by showing
that for every integral polytope \$P\$\, there exists \$c\$ such that for
every positive integer \$c' \ge c\$\, \$c'P\$ admits a unimodular triangul
ation.\n\nNote: This talk begins with a pre-seminar (aimed at graduate stu
dents) at 4:00–4:30. The main talk starts at 4:40.\nJoin Zoom Meeting: htt
ps://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230125T160000
DTEND;TZID=America/Los_Angeles:20230125T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:42
SUMMARY:: Unimodular triangulations of sufficiently large dilations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-26/unimodular-triangulations
-sufficiently-large-dilations
END:VEVENT
BEGIN:VEVENT
UID:ffdd859f-6ae0-4f26-a740-8dccf4a96ea6
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230123T213705Z
DESCRIPTION:Speaker: Kuan-Ting Yeh\, University of Washington\n\nThe isoper
imetric inequality asks the following: Given a fixed positive area\, what
is the shape that has the smallest perimeter? The answer to this question
is given by a disk. Its history goes back to Ancient Greece\, but the rigo
rous proof of it is relatively recent. In this expository talk\, we survey
some current methods in dealing with isoperimetric-type problems and disc
uss some possible applications.
DTSTART;TZID=America/Los_Angeles:20230126T123000
DTEND;TZID=America/Los_Angeles:20230126T133000
LAST-MODIFIED:20230127T223930Z
LOCATION:PDL C-401
SEQUENCE:43
SUMMARY:: Graduate Student Analysis Seminar: A friendly introduction to the
isoperimetric inequality
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-26/graduate-student-analysis
-seminar-friendly-introduction-isoperimetric-inequality
END:VEVENT
BEGIN:VEVENT
UID:4d554dc8-7423-453f-bf1e-bc1c61c29006
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230123T153810Z
DESCRIPTION:Speaker: Noah Shutty\, Google\n\nAbstract: Recent work has cons
tructed neural networks that are equivariant to continuous symmetry groups
such as 2D and 3D rotations. This is accomplished using explicit Lie grou
p representations to derive the equivariant kernels and nonlinearities. We
present three contributions motivated by frontier applications of equivar
iance beyond rotations and translations. First\, we relax the requirement
for explicit Lie group representations with a novel algorithm that finds r
epresentations of arbitrary Lie groups given only the structure constants
of the associated Lie algebra. Second\, we provide a self-contained method
and software for building Lie group-equivariant neural networks using the
se representations. Third\, we contribute a novel benchmark dataset for cl
assifying objects from relativistic point clouds\, and apply our methods t
o construct the first object-tracking model equivariant to the Poincaré gr
oup.
DTSTART;TZID=America/Los_Angeles:20230126T130000
DTEND;TZID=America/Los_Angeles:20230126T140000
LAST-MODIFIED:20230123T153919Z
LOCATION:Zoom - https://washington.zoom.us/j/99239593243
SEQUENCE:44
SUMMARY:: Computing Representations for Lie Algebraic Networks
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-26/computing-representations
-lie-algebraic-networks
END:VEVENT
BEGIN:VEVENT
UID:84922349-3732-485b-b251-78e303c0f9ad
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230123T230159Z
DESCRIPTION:Speaker: Paige Helms\n\nAbstract: With definitions and examples
we will discuss the relationship between symmetric matrices and foliation
s of (translation) surfaces. Then we will focus on particular types of fol
iations: Those generated by the Veech group of translations surfaces.
DTSTART;TZID=America/Los_Angeles:20230126T140000
DTEND;TZID=America/Los_Angeles:20230126T150000
LAST-MODIFIED:20230127T220820Z
LOCATION:SMI 109
SEQUENCE:45
SUMMARY:: Geometry and Dynamics Seminar: Symmetric Matrices\, Foliations\,
and Veech Groups
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-26/geometry-and-dynamics-sem
inar-symmetric-matrices-foliations-and-veech-groups
END:VEVENT
BEGIN:VEVENT
UID:908c40ae-8d15-4184-b55b-f90d3aaa472e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230308T170345Z
DESCRIPTION:Speaker: Caelan Ritter (University of Washington)\n\nThe Ceresa
cycle C - C^{-} of a smooth algebraic curve C is a tautological algebraic
cycle contained in the Jacobian J(C). It is homologically trivial\, but
Ceresa showed that if C is very general of genus at least 3\, then it is n
ot algebraically trivial. It is in some sense the simplest algebraic cycl
e satisfying these properties\, leading to applications for the étale fund
amental group\, intersection theory\, and the theory of heights. We will
discuss the extent to which the Ceresa cycle and the proof of non-triviali
ty carry over to the tropical setting. Along the way\, we will introduce
important tools in the study of rational polyhedral spaces\, namely\, trop
ical cycles and homology.
DTSTART;TZID=America/Los_Angeles:20230127T103000
DTEND;TZID=America/Los_Angeles:20230127T112000
LAST-MODIFIED:20240822T184151Z
LOCATION:Thomson Hall (THO) 325
SEQUENCE:46
SUMMARY:: Combinatorial Algebraic Geometry: Tropical Ceresa cycles
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-27/combinatorial-algebraic-g
eometry-tropical-ceresa-cycles
END:VEVENT
BEGIN:VEVENT
UID:04511c12-e6f5-4467-894b-c147d9fcbaa3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230215T001902Z
DESCRIPTION:Speaker: Alex Wang\, University of Washington\n\nThe integers Z
satisfy many interesting properties: we have the rational root theorem\,
all integers admit a unique factorization\, and Z is integrally closed in
Q\, its field of fractions. However\, as we consider larger fields that c
ontain Q\, not all of these facts remain true. In this talk\, we'll explo
re number fields\, which are finite extensions of Q\, and how these number
-theoretic properties generalize.\nZoom Link: https://washington.zoom.us/j
/92849568892
DTSTART;TZID=America/Los_Angeles:20230127T143000
DTEND;TZID=America/Los_Angeles:20230127T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:47
SUMMARY:: 1-2-3 Seminar: Number Fields
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-27/1-2-3-seminar-number-fiel
ds
END:VEVENT
BEGIN:VEVENT
UID:0dc9c930-fa44-4c0d-8893-8d475cf430c7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230129T232944Z
DESCRIPTION:Speaker: Andrea Ottolini (UW)\n\nThe Zener cards are a deck of
nm cards where each of n symbols is depicted on exactly m cards. The follo
wing experiment (n=m=5) has been used since the early ‘30s to test for ext
rasensory perceptions: the alleged telepath tries to guess cards one at a
time\, receiving some feedback after each attempt\, until there are no car
ds left. The total number of correct guesses can be thus interpreted as a
measure of their psychic powers. A very first step in the analysis of such
experiments is to determine the optimal (non-psychic) expected score S_{n
\,m}. After an overview of the problem\, I will focus on joint work with S
teinerberger on the complete feedback case\, where we determine the leadin
g and next-to-leading order for S_{n\,m} when m>>n>>1\, answering a conjec
ture of Diaconis.
DTSTART;TZID=America/Los_Angeles:20230130T143000
DTEND;TZID=America/Los_Angeles:20230130T153000
LAST-MODIFIED:20230216T225103Z
LOCATION:MGH-085
SEQUENCE:48
SUMMARY:: Some math behind the Zener cards
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-30/some-math-behind-zener-ca
rds
END:VEVENT
BEGIN:VEVENT
UID:e84c9ee9-1d30-4b74-a89d-afb270cc4fd8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230125T010433Z
DESCRIPTION:Speaker: Li Li (UC Irvine)\n\nI will talk about uniqueness resu
lts for several inverse problems. I will start with the classical Calderón
problem. Then I will focus on the fractional Calderón problem and its evo
lutionary and nonlinear variants. The goal is to determine nonlinearities/
coefficients in fractional equations from exterior partial measurements of
the Dirichlet-to-Neumann map.
DTSTART;TZID=America/Los_Angeles:20230131T113000
DTEND;TZID=America/Los_Angeles:20230131T130000
LAST-MODIFIED:20230127T220914Z
LOCATION:SMI 309
SEQUENCE:49
SUMMARY:: Uniqueness results for the fractional Calderón problem and its va
riants
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-31/uniqueness-results-fracti
onal-calderon-problem-and-its-variants
END:VEVENT
BEGIN:VEVENT
UID:85506f35-0030-4d33-8871-365e13efd2f8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230110T143826Z
DESCRIPTION:Speaker: Anna Skorobogatova\, Princeton University\n\nOne possi
ble framework in which to study the Plateau problem is by using currents w
ith mod(p) coefficients\, for a fixed integer p. This setting allows for m
inimizing hypersurfaces to exhibit codimension 1 singularities like triple
junctions\, and has close connections to the known regularity theory for
stable minimal hypersurfaces. Early works on the regularity theory in this
framework date back to Federer & L. Simon (p=2)\, J. Taylor (p=3) and Whi
te (p=4)\, while for general p\, the recent work of De Lellis-Hirsch-March
ese-Stuvard-Spolaor leads to a complete structural characterization of the
codimension 1 part of the singular set for minimizing hypersurfaces. In t
his talk\, I will discuss the presence of flat singularities in mod(p) are
a-minimizing hypersurfaces when p is even. Such singularities generally fo
rm a codimension 2 set relative to the dimension of the surface. I will di
scuss some work in progress on establishing a reasonably sharp structural
result for such singularities.
DTSTART;TZID=America/Los_Angeles:20230131T133000
DTEND;TZID=America/Los_Angeles:20230131T153000
LAST-MODIFIED:20230117T023922Z
LOCATION:PDL C-401
SEQUENCE:50
SUMMARY:: Rectifiability of flat singularities for mod(p) area-minimizing h
ypersurfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-31/rectifiability-flat-singu
larities-modp-area-minimizing-hypersurfaces
END:VEVENT
BEGIN:VEVENT
UID:015d14ca-685b-411f-8763-635f61c7f797
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230126T032856Z
DESCRIPTION:Speaker: Dong Gyu Lim\n\n\nPretalk title: What is a Deligne-Lus
ztig variety?\nPretalk abstract:Representation theory of finite groups of
Lie type is often called Deligne-Lusztig theory. In their seminal paper\,
Deligne and Lusztig constructed geometric objects whose cohomology groups
contain all irreducible representations in a suitable sense. I will briefl
y talk about the SL(2) case which is due to Drinfeld and then discuss the
relation between the classical one and the affine version of that.\n\nMain
talk title: Some basic questions on affine Deligne-Lusztig varieties\nMai
n talk abstract:Affine Deligne-Lusztig varieties can be understood as a p-
adic generalization of a classical Deligne-Lusztig variety. One of the mos
t basic questions is 'when it is nonempty'. For a certain union\, the none
mptiness criterion is completely known (by the so-called Mazur's inequalit
y or the set B(G\,μ)). However\, the question about the 'individual' ones
is moderately open (with no general conjecture). I will discuss old and ne
w nonemptiness results and suggest my own conjecture in the basic case. As
an application\, I will briefly mention a new explicit dimension formula
in the rank 2 case for which no conjectural formula existed so far.
DTSTART;TZID=America/Los_Angeles:20230131T134500
LAST-MODIFIED:20230126T032913Z
LOCATION:PDL C-38
SEQUENCE:51
SUMMARY:: A geometric Hasse principle for the Brauer group
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-01-31/geometric-hasse-principle
-brauer-group
END:VEVENT
BEGIN:VEVENT
UID:99accd57-2236-4a42-a682-1f64c0ffe77e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230123T181316Z
DESCRIPTION:Speaker: Ricky Liu\, University of Washington\n\nAbstract:\nA c
ombinatorial mutation is a continuous\, piecewise-linear\, volume-preservi
ng operation on rational polytopes. In this talk\, we will present several
examples of pairs of polytopes whose Ehrhart equivalence can be proven by
constructing combinatorial mutations between them\, most notably the chai
n polytopes of rectangular and trapezoidal posets. We will also show how t
hese constructions can be viewed as tropicalizations of birational maps fr
om dynamical algebraic combinatorics. This is based on joint work with Jos
eph Johnson.\nNote: This talk begins with a pre-seminar (aimed at graduate
students) at 4:00–4:30. The main talk starts at 4:40.\nJoin Zoom Meeting:
https://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230201T160000
DTEND;TZID=America/Los_Angeles:20230201T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:52
SUMMARY:: Combinatorial mutations and birational maps
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-02/combinatorial-mutations-a
nd-birational-maps
END:VEVENT
BEGIN:VEVENT
UID:7e56371a-a784-4bec-b537-1e937396557e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230131T004424Z
DESCRIPTION:Speaker: Jacob Ogden\, University of Washington\n\nIn this talk
we will investigate two simple properties of closed curves in the plane:
\n (a) for every point x on the curve\, there is a unique point on the c
urve which is farthest from x\,\n (b) if y is the farthest point from x\
, then x is the unique farthest point from y.\nWe’ll use elementary differ
ential geometry to describe the curves with property (a) in terms of the r
elationship between the curve and its evolute and to show that any curve w
ith property (b) is a curve of constant width.
DTSTART;TZID=America/Los_Angeles:20230202T123000
DTEND;TZID=America/Los_Angeles:20230202T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:53
SUMMARY:: Farthest points on curves and curves of constant width
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-02/farthest-points-curves-an
d-curves-constant-width
END:VEVENT
BEGIN:VEVENT
UID:df4d821e-879a-4c9f-bea6-b9a17ae25948
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230130T152904Z
DESCRIPTION:Speaker: Jacob Springer\, Carnegie Mellon University\n\nI will
present a perspective from a recent line of work on how 'adversarial examp
les'—input perturbations that dramatically change the neural network's out
put—can help us understand the (dis)similarities between different neural
network classifiers. I will show that existing similarity metrics overesti
mate neural network similarity and will present an invariance-based method
to correct the issues with previous metrics. To conclude\, I will describ
e how we can use the corrected similarity metrics to reveal a surprising (
empirical) asymmetrical relationship between non-robust and robust neural
networks in which non-robust networks exhibit similarities with robust net
works\, but not with other non-robust networks.
DTSTART;TZID=America/Los_Angeles:20230202T130000
DTEND;TZID=America/Los_Angeles:20230202T140000
LAST-MODIFIED:20230130T152904Z
LOCATION:Zoom - https://washington.zoom.us/j/99239593243
SEQUENCE:54
SUMMARY:: What can adversarial examples tell us about similarities between
neural networks?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-02/what-can-adversarial-exam
ples-tell-us-about-similarities-between-neural-networks
END:VEVENT
BEGIN:VEVENT
UID:73514f69-de15-4847-afec-4cdeb27b5ae9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230130T185200Z
DESCRIPTION:Speaker: Andrew Tawfeek (University of Washington)\n\n In the g
raph chain complex work of Kontsevich\, he computed the graphic orbifold E
uler characteristic and showed it may be fascinatingly expressed through B
ernoulli numbers. Inspired by this\, Madeline Brandt\, Juliette Bruce\, an
d Daniel Corey in arXiv: 2301.10108 define a virtual Euler characteristic
for any finite set of isomorphism classes of matroids of rank r\, then pro
ve this expression simplifies over the finite field F_2 (i.e. binary matro
ids). Additionally\, they apply their methods to craft recursive formulas
for subsets of the Grassmannian in the Grothendieck ring of varieties. In
the talk\, we briefly overview the combinatorial and algebro-geometric asp
ects of matroids and the Grassmannian before then delving into a discussio
n of their methods. We conclude the talk with various future directions on
e could take their work as well.
DTSTART;TZID=America/Los_Angeles:20230203T103000
DTEND;TZID=America/Los_Angeles:20230203T112000
LAST-MODIFIED:20240822T184151Z
LOCATION:Thomson Hall (THO) 325
SEQUENCE:55
SUMMARY:: Combinatorial Algebraic Geometry: The Virtual Euler Characteristi
c for Binary Matroids
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-03/combinatorial-algebraic-g
eometry-virtual-euler-characteristic-binary-matroids
END:VEVENT
BEGIN:VEVENT
UID:644fc65d-5fce-4c84-836f-8cfc5a7d963d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230215T002017Z
DESCRIPTION:Speaker: Cameron Wright\, University of Washington\n\nWe survey
the geometric-combinatorial theory of triangulations and subdivisions of
polytopes. This topic is of classical interest in the context of combinato
rics\, and indeed of classical childhood interest for many of us (as witne
ssed by the success of toys like Legos). However\, over the past century i
t was discovered that this subject possesses several connections to other
areas of mathematics. We study subdivisions from three perspectives of inc
reasing abstraction\, and will see at the end that these perspectives prov
ide interesting applications. Along the way we will encounter characters f
rom enumerative and geometric combinatorics\, as well as from algebraic ge
ometry if time permits.\nZoom Link: https://washington.zoom.us/j/928495688
92
DTSTART;TZID=America/Los_Angeles:20230203T143000
DTEND;TZID=America/Los_Angeles:20230203T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:56
SUMMARY:: 1-2-3 Seminar: Triangulations and Subdivisions of Polytopes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-03/1-2-3-seminar-triangulati
ons-and-subdivisions-polytopes
END:VEVENT
BEGIN:VEVENT
UID:c0331615-cfc4-4982-8e9f-43b4eefe9c94
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221128T213147Z
DESCRIPTION:Speaker: Andrea Montanari\, Stanford University\n\nRandom high-
dimensional cost functions and random probability distributions arise in a
number of applied fields. For instance\, in high-dimensional statistics\,
an M-estimator is the solution of a random optimization problem (the rand
omness being related to the data distribution). In statistical physics\, t
he Gibbs measure of a disordered physical system is a random probability m
easure (whose randomness is related to frozen atom positions).\nIn these p
roblems\, one is often interested in algorithms that can find near optima
or sample from the given distribution efficiently. I will discuss a simple
-to-describe and yet-rich example known as Z2 synchronization. This is clo
sely related to the celebrated Sherrington-Kirkpatrick model of mean field
spin glasses.\nI will present recently developed algorithms to solve the
optimization\, inference and sampling problems\, as well as rigorous evide
nce suggesting that these algorithms are optimal for this model and in a b
roader context.
DTSTART;TZID=America/Los_Angeles:20230203T153000
LAST-MODIFIED:20230124T222853Z
LOCATION:ECE 125
SEQUENCE:57
SUMMARY:: Algorithms for optimization\, inference\, sampling of random prob
ability measures
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-03/algorithms-optimization-i
nference-sampling-random-probability-measures
END:VEVENT
BEGIN:VEVENT
UID:9a520daf-7ae2-4714-afb3-b222e356fe0c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230129T233204Z
DESCRIPTION:Speaker: Lingfu Zhang (UC Berkeley)\n\nIt has been known (since
Cohn-Kenyon-Propp\, 00) that in a uniform random Lozenge tiling\, there a
re frozen regions and disordered regions\, separated by the ‘arctic curve’
. For a generic simply connected polygonal domain\, the microscopic statis
tics are widely predicted (back to Okounkov-Reshetikhin\, 07) to be univer
sal\, being one of (1) discrete sine kernel process inside the disordered
region (2) Airy line ensemble around a smooth point of the arctic curve (3
) Pearcey process around a cusp point of the arctic curve (4) GUE corner p
rocess around a tangent point of the arctic curve. For special domains the
se were proved years ago\; and recently\, much progress has been made in e
stablishing universality\, with (3) being the remaining open case. I will
present a proof of it via a refined comparison between tiling and non-inte
rsecting random walks\, for which a new universality of the Pearcey proces
s around a bifurcation point is also shown.This is based on joint work wit
h Jiaoyang Huang and Fan Yang.
DTSTART;TZID=America/Los_Angeles:20230206T143000
LAST-MODIFIED:20230216T225049Z
LOCATION:MGH-085
SEQUENCE:58
SUMMARY:: Random Lozenge tiling at cusp and the Pearcey process
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-06/random-lozenge-tiling-cus
p-and-pearcey-process
END:VEVENT
BEGIN:VEVENT
UID:f12f103e-5b2a-435b-91e6-30a020745047
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230131T183134Z
DESCRIPTION:Speaker: Qiuye Jia\n\nIn this talk I will discuss the invertibi
lity of the geodesic X-ray transform on one forms and 2-tensors on asympto
tically conic manifolds\, up to the natural obstruction\, allowing existen
ce of certain kinds of conjugate points. We use the 1-cusp pseudodifferent
ial operator algebra and its semiclassical foliation version introduced an
d used by Vasy and Zachos\, who showed the same type invertibility on func
tions.\n\nThe complication of the invertibility of the tensorial X-ray tra
nsform\, compared with X-ray transform on functions\, is caused by the nat
ural kernel of the transform consisting of 'potential tensors'. We overcom
e this by arranging a modified solenoidal gauge condition\, under which we
have the invertibility of the X-ray transform.
DTSTART;TZID=America/Los_Angeles:20230207T113000
DTEND;TZID=America/Los_Angeles:20230207T130000
LAST-MODIFIED:20230131T184131Z
LOCATION:SMI 309
SEQUENCE:59
SUMMARY:: The Tensorial X-ray Transform on Asymptotically Conic Manifolds
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-07/tensorial-x-ray-transform
-asymptotically-conic-manifolds
END:VEVENT
BEGIN:VEVENT
UID:1a9af45d-a4d8-4827-a2c9-af5edb4b3138
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230110T002204Z
DESCRIPTION:Speaker: Zhen-Qing Chen\, UW\n\nElliptic Harnack inequality\, i
f it holds\, is a very useful tool in analysis and in probability theory.
An important question\nis whether elliptic Harnack inequality is stable un
der bounded perturbation. In this talk\, I will explain how probabilistic
\nideas can be used to address this open problem. \n\nIn the first part of
the talk\, I will present a gentle introduction of elliptic as well as pa
rabolic Harnack inequalities and some of their history.\nIn the second par
t of the talk\, I will discuss scale invariant elliptic Harnack inequality
for symmetric differential operators on metric measure space such as mani
folds\, graphs and fractals\, or equivalently\, for symmetric differential
operators on metric measure space. I will then show that the elliptic Har
nack inequality is stable under form-comparable perturbation for strongly
local Dirichlet forms on complete locally compact separable metric spaces
that satisfy metric doubling property. \n\nBased on a joint work with Mart
in Barlow and Mathav Murugan.
DTSTART;TZID=America/Los_Angeles:20230207T133000
DTEND;TZID=America/Los_Angeles:20230207T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:60
SUMMARY:: Stability of elliptic Harnack inequality
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-07/stability-elliptic-harnac
k-inequality
END:VEVENT
BEGIN:VEVENT
UID:952f3ff2-a9c3-4131-8e2c-e10da18f0102
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230204T173843Z
DESCRIPTION:Speaker: Veronica Arena and Stephen Obinna (Brown)\n\n\nTitle p
re-talk: Introduction on Chow rings and blow-ups\n\nAbstract pre-talk: We
will give an introduction to Chow rings and blow-ups. We will briefly high
light analogies and differences with the two\, more general\, versions of
these tools that will be used in the talk: equivariant intersection theory
and weighted blow-ups. \n\n\nTitle main talk: Intersection theory on weig
hted blow-ups\n\nAbstract main talk: We give a short overview of some clas
sical results for blow-ups. When looking at the case of weighted blow-ups\
, some caution is needed as we don't have access to all of the tools used
in the classical case. One needs\, for example\, to take into account that
the weights make for some non reducedness or some complications with tors
ion in the Chow rings. We will give a general presentation for the Chow ri
ng of the exceptional divisor of a weighted blow-up and for the Gysin homo
morphism induced by it.
DTSTART;TZID=America/Los_Angeles:20230207T134500
LAST-MODIFIED:20230204T173843Z
LOCATION:PDL C-38
SEQUENCE:61
SUMMARY:: Intersection Theory on Weighted Blowups
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-07/intersection-theory-weigh
ted-blowups
END:VEVENT
BEGIN:VEVENT
UID:eecc9f18-0bb4-4ded-994f-0a9abc73952f
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213424Z
DESCRIPTION:AGENDA\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\nCh
air Selection Committee - Rohde\nMathday - Ostroff\nGraduate Admissions Co
mmittee - Koblitz\n\n\nCommittee Reports\n\nAppointments Committee - Viray
\nUndergraduate Program Committee - Taggart\n\n\nNew Business\nExecutive S
ession\nAdjournment\n\nMINUTES\nThe regular meeting of the faculty of the
Department of Mathematics was held in-person in C-38 Padelford Hall and v
irtually via Zoom at 3:30pm PST\, February 7\, 2023. John Palmieri\, Chair
\, presided at the meeting. Rose Choi was recording secretary. \nThe meeti
ng began with approval of the previous meeting’s minutes.\nChair's Remarks
\nThe Assistant Teaching Professor search is moving into the video intervi
ew stage. If you would like to share your thoughts on any of the candidate
s\, please do so soon.\nThis is a reminder to please vote on the current r
eappointment cases. More than half of the voting faculty should be voting
on these cases in order to meet the university’s threshold.\nThe chair led
a discussion amongst the faculty on the book “The New Education\,” the co
ncept of assigning grades in calculus courses\, and reevaluating what is t
aught and whether these courses are still relevant in their current forms.
\nFaculty meetings for the remainder of this academic year will be held so
lely via Zoom.\nAnnouncements\nFaculty in the tenure-stream are strongly u
rged to sign up to meet with the Chair Search Committee for 15 min intervi
ews on Feb. 23 & 24. Steffen Rohde\, who was a member of the Chair Selecti
on Committee and now joins the Search Committee\, will not be present at t
hese interviews. Members of the department will be meeting solely with Mun
ira Khalil (Chemistry) and Marina Meila (Statistics) for these confidentia
l interviews. These interviews serve a crucial function in the chair selec
tion decisions made by the Deans. Please do your best to participate in th
is process.\nMath Day is very short on volunteers this year. Typically\, t
here are 70-90 volunteers confirmed for this event\; however\, there are c
urrently on twelve. Please encourage as many students as you can to help o
ut. No experience or math background is necessary. The event takes place o
n March 20th.\nThe Graduate Admissions Committee has sent out offers to 53
students with approximately 30 more on the waitlist. One-quarter to one-t
hird acceptance is anticipated per previous records. There was a strong co
hort of female candidates this year\, as well as an increase in competitiv
e candidates from underrepresented minority groups including international
students. Specific faculty were tasked with reaching out to their matched
student candidates and a Zoom meet-and-greet has been scheduled for this
Thursday and Friday. Prospective students will be visiting the campus on M
arch 9th and 10th. Thanks to all the committee members who worked tireless
ly to review the 396 applications that were received this year.\nCommittee
Reports\nOn average over the last five years\, the department received ap
proximately 350-400 applicants for tenure-track searches with the first ro
und narrowed down to about 70 candidates then 14-18 for the second round a
nd around 8 who make it to the interview stage. This year\, the Appointmen
ts Committee has been reevaluating the rubrics used at the various stages
of the evaluation process. Traditionally\, research has been a top priorit
y when evaluating a candidate. However\, challenges arose when trying to d
etermine scores for this rubric. Additionally\, trying to incorporate non-
committee member input for candidates has been difficult as these do not t
ypically align with the rubric used by the committee. To address some of t
hese challenges\, the committee has proposed adding an additional round (R
ound 0) to the review process. This would fall before the first round and
all faculty can advance their recommendations to this stage for more detai
led consideration. A second proposal is to reframe the rubric categories a
s axis labels to take into consideration the multi-dimensionality of the c
andidates.\nThe Undergraduate Program Committee proposes the following:\n
\nAdd an RSN (Reasoning) designation to MATH 180: Undergraduate students a
t UW must complete 5 credits in Reasoning (formerly Quantitative and Symbo
lic Reasoning) in order to graduate. Our MATH 180 Topics courses do not cu
rrently have this designation. Adding this designation may attract more st
udents from across campus to these courses.\nAdd a 5 credit option to MATH
380: Currently MATH 380 is listed as a 3 credit course. Neal Koblitz has
proposed (and UPC has approved) a course for next winter that’s been runni
ng as a 5 credit course under HONORS 221. Rather than cutting back the cou
rse\, we would like to add a 5 credit course option for MATH 380.\n\n Vote
s for both proposals were held\, passed\, and approved.\nADJOURNMENT\nTher
e being no new business\, the meeting passed into executive session at 4:4
5pm.
DTSTART;TZID=America/Los_Angeles:20230207T153000
LAST-MODIFIED:20230307T213947Z
LOCATION:PDL C-38 & Zoom
SEQUENCE:62
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-07/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:75558fc7-2dae-4bb2-8432-695d3b8b4f8b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230208T060734Z
DESCRIPTION:Speaker: Emily Casey\, University of Washington\n\nA set is rec
tifiable if it is almost the image of countably many nice maps. So\, what
should it mean for a set to be uniformly rectifiable? How can we quantify
this qualitative notion\, that is\, how can we record how much of our set
is covered by a nice map at each scale? In the 1991 monograph\, Singular I
ntegrals and Rectifiable Sets in \$\mathbb{R}^{\mathbf{n}}\$ by Guy David
and Stephen Semmes\, they provide several characterizations of uniformly r
ectifiable sets. In this talk we explore one of the implications included
in the monograph\, going from an analytic condition to a geometric conditi
on. This talk is purely expository.
DTSTART;TZID=America/Los_Angeles:20230209T123000
DTEND;TZID=America/Los_Angeles:20230209T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:63
SUMMARY:: A Gentle Introduction to Uniform Rectifiability
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-09/gentle-introduction-unifo
rm-rectifiability
END:VEVENT
BEGIN:VEVENT
UID:ceef9e3c-edc0-42fe-9b81-ed730d6af4b5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230202T055130Z
DESCRIPTION:Speaker: Swati Padmanabhan\, UW\n\nGradient descent --- one of
the simplest optimization algorithms --- has been a workhorse of large-sca
le machine learning for decades. In particular\, the finite-time (i.e.\, '
nonasymptotic') theoretical guarantees on its rates of convergence have be
en extensively studied on broad families of functions including convex and
smooth functions. However\, modern machine learning has witnessed the eme
rgence of problems far beyond the aforementioned problem classes. Indeed\,
tremendous empirical success (such as that of deep learning) has recently
been powered by tools like Google's TensorFlow and Facebook's PyTorch tha
t use non-smooth non-convex optimization under the hood. A fundamental the
oretical question\, therefore\, is to obtain nonasymptotic theoretical gua
rantees for non-smooth non-convex optimization. In this talk\, I will pres
ent our result for this problem\, giving the first non-asymptotic converge
nce guarantee for non-smooth non-convex optimization under the ``standard
first-order oracle model''. This is joint work with Damek Davis\, Dmitriy
Drusvyatskiy\, Yin Tat Lee\, and Guanghao Ye and appeared as an Oral Prese
ntation in NeurIPS 2022.
DTSTART;TZID=America/Los_Angeles:20230209T130000
DTEND;TZID=America/Los_Angeles:20230209T140000
LAST-MODIFIED:20230202T055149Z
LOCATION:Zoom - https://washington.zoom.us/j/99239593243
SEQUENCE:64
SUMMARY:: A gradient sampling method with complexity guarantees for Lipschi
tz functions in high and low dimensions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-09/gradient-sampling-method-
complexity-guarantees-lipschitz-functions-high-and-low
END:VEVENT
BEGIN:VEVENT
UID:a32a38a5-36ab-42b5-b08a-dcb879f0f92d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230208T002647Z
DESCRIPTION:Speaker: Albert Artiles\n\nThis is the fourth talk in a series
designed to describe a connection between hyperbolic geometry and analytic
number theory by connecting the Gauss map on [0\,1] and the geodesic flow
on the unit tangent bundle of the modular curve.\nThis talk will focus on
the basic properties of continued fraction and hope to prove their rate o
f convergence.
DTSTART;TZID=America/Los_Angeles:20230209T140000
DTEND;TZID=America/Los_Angeles:20230209T150000
LAST-MODIFIED:20240822T184151Z
LOCATION:SMI 109
SEQUENCE:65
SUMMARY:: Geometry and Dynamics: Continued fractions and the Gauss map
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-09/geometry-and-dynamics-con
tinued-fractions-and-gauss-map
END:VEVENT
BEGIN:VEVENT
UID:beb25579-78da-481b-9741-4c4a3adc2cd2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230208T181210Z
DESCRIPTION:Speaker: Harry Richman (University of Washington)\n\nAn algebra
ic curve of high genus can be a difficult landscape to navigate. In such a
situation\, we would like a set of well-placed landmarks as a guide. This
is what Weierstrass points provide for us. We will cover the definition o
f Weierstrass points\, and overview results that quantify in what sense th
ey are 'well-placed'. We will also mention some applications in algebraic
geometry and tropical geometry\, in particular:\n\n\nWhen does an algebrai
c / tropical curve have finitely many automorphisms?\n\n\nWhen is the modu
li space of algebraic / tropical curves 'general type'?
DTSTART;TZID=America/Los_Angeles:20230210T103000
DTEND;TZID=America/Los_Angeles:20230210T112000
LAST-MODIFIED:20230208T181210Z
LOCATION:Thomson Hall (THO) 325
SEQUENCE:66
SUMMARY:: Combinatorial Algebraic Geometry: Weierstrass points on algebraic
curves and tropical curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-10/combinatorial-algebraic-g
eometry-weierstrass-points-algebraic-curves-and-tropical
END:VEVENT
BEGIN:VEVENT
UID:b46269c4-1019-407b-95a9-4c5176a9441b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230215T002114Z
DESCRIPTION:Speaker: Jackson Morris\, University of Washington\n\nWe will i
nvestigate spectral sequences\, a powerful tool that allows us to approxim
ate some unknown homology. After developing some general theory\, we will
compute some singular cohomology and group cohomology using specific spect
ral sequences.\nZoom Link: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230210T143000
DTEND;TZID=America/Los_Angeles:20230210T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:67
SUMMARY:: 1-2-3 Seminar: Spectral Sequences
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-10/1-2-3-seminar-spectral-se
quences
END:VEVENT
BEGIN:VEVENT
UID:e440f9b4-b955-473c-8dd6-7ee6400fccdc
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221128T213459Z
DESCRIPTION:Speaker: Robin Graham\, University of Washington\n\nPoincaré-Ei
nstein spaces are a generalization of the Poincaré model of hyperbolic spa
ce. They were introduced to study holographically the conformal geometry o
f the boundary at infinity. This geometric correspondence underlies the Ad
S/CFT correspondence in physics. Physical renormalization procedures have
led to geometric invariants called the renormalized volume and renormalize
d area. This talk will review these constructions and describe some recent
progress concerning formulas of Gauss-Bonnet type involving the renormali
zed area of minimal submanifolds of Poincaré-Einstein spaces.
DTSTART;TZID=America/Los_Angeles:20230210T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:ECE 125
SEQUENCE:68
SUMMARY:: Renormalized Volume and Area for Poincaré-Einstein Spaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-10/renormalized-volume-and-a
rea-poincare-einstein-spaces
END:VEVENT
BEGIN:VEVENT
UID:6ba27dce-fd10-4397-9107-0c4f5828c94d
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230202T172014Z
DESCRIPTION:Speaker: Raghav Tripathi\n\nAdvisor: Soumik Pal
DTSTART;TZID=America/Los_Angeles:20230213T143000
LAST-MODIFIED:20230202T172014Z
LOCATION:MGH 085
SEQUENCE:69
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-13/general-exam
END:VEVENT
BEGIN:VEVENT
UID:8c870259-acb6-41e7-94d0-d855d36835d2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230129T233437Z
DESCRIPTION:Speaker: Raghav Tripathi (UW)\n\nOptimization on graphons natur
ally arise in many different contexts. In particular\, such problems can b
e seen as limits of optimization problems over large dense graphs with unl
abelled vertices. We show that discrete noisy stochastic optimization algo
rithms over finite graphs have a well-defined analytical scaling limit as
the size of the network grows to infinity. The limiting curves are curves
of graphons and can be are given by a novel notion of McKean-Vlasov equati
on on graphons. In the asymptotically zero-noise case\, the limit can be i
nterpreted as a gradient flow on the metric space of graphons. This mirror
s the Wasserstein gradient flows on probability measures which arise as a
continuum limit of particle systems in mean field interaction with a gradi
ent type potential.
DTSTART;TZID=America/Los_Angeles:20230213T143000
LAST-MODIFIED:20230216T225037Z
LOCATION:MGH-085
SEQUENCE:70
SUMMARY:: Dynamic optimization on graphons
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-13/dynamic-optimization-grap
hons
END:VEVENT
BEGIN:VEVENT
UID:1c58d0c1-be52-42a3-bc62-2aadf42cdda5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230110T144103Z
DESCRIPTION:Speaker: Max Goering\, Max Planck Institute\n\nIn the 1920s Be
sicovitch asked the question: What can one say about the structure of sets
$E$ in the plane\, with the property that $\lim_{r \downarrow 0} \frac{ \
mathcal{H}^{1}(B(x\,r) \cap E)}{2r}= 1$ for almost every $x \in E$? In 198
7 Preiss gave a complete answer to Besicovitch's density question in groun
dbreaking work relying on his introduction of the notion of tangent measur
es. In the first half of this talk\, I will introduce tangent measures a
nd some of their properties that make them widely applicable. In the secon
d half I will briefly introduce several previous results relying on techni
ques from Preiss' paper and then discuss how\, in work-in-progress with Ta
tiana Toro and Bobby Wilson\, we recover anisotropic analogs of several of
these results.
DTSTART;TZID=America/Los_Angeles:20230214T133000
DTEND;TZID=America/Los_Angeles:20230214T153000
LAST-MODIFIED:20230207T010311Z
LOCATION:PDL C-401
SEQUENCE:71
SUMMARY:: Anisotropic Preiss density
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-14/anisotropic-preiss-densit
y
END:VEVENT
BEGIN:VEVENT
UID:3cd2f19b-01a9-407c-892b-4c76a6fda6f2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230214T073602Z
DESCRIPTION:Speaker: Behrouz Taji (UNSW)\n\n\nTitle pre-talk: Hodge theoret
ic tools in birational geometryAbstract pre-talk: I will discuss a few app
lications of some basic tools in the theory of variation of Hodge structur
es (VHS) to the birational geometry of families of varieties.Keywords pre-
talk: projective families of varieties\, weak semipositivity\, VHS\, Shaf
arevich-type problems\, minimal model program\n\n---\n\n\n\n\n\n\nTitle ma
in talk: Arakelov inequalities and boundedness for families of varietiesAb
stract main talk: It was discovered by Parshin that finiteness conjectures
for the number of rational points of smooth projective curves of high gen
us (Mordell Conjecture) reduces to finiteness problems for families of suc
h curves over a fixed base scheme of dimension one (Shafarevich Conjecture
). The latter was resolved by Faltings\,Arakelov and others through two ma
jor breakthroughs: (1) Deligne-Mumford's results on the moduli of stable c
urves and (2) a certain numerical inequality for smooth families of projec
tive curves over one dimensional base which only depends on a natural inva
riant of the fibers. (2) is nowadays referred to as an Arakelov inequality
.\n\n\n\nIn this talk\, after covering some of the historical background\,
I will discuss our recent generalization of Arakelov inequality to famili
es of canonically polarized manifolds over arbitrary base schemes\, which
affirmatively answers a question of Viehweg. This is based on joint work (
https://arxiv.org/abs/2205.00761) with Sándor Kovács.
DTSTART;TZID=America/Los_Angeles:20230214T134500
LAST-MODIFIED:20230214T073652Z
LOCATION:PDL C-38
SEQUENCE:72
SUMMARY:: Arakelov inequalities and boundedness for families of varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-14/arakelov-inequalities-and
-boundedness-families-varieties
END:VEVENT
BEGIN:VEVENT
UID:4aca20b0-1976-47a9-96bc-db6dd1e6533a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230117T073100Z
DESCRIPTION:Speaker: Katya Krupchyk (UC Irvine)\n\nWe shall discuss some re
cent progress for inverse boundary problems for nonlinear elliptic PDE. Ou
r focus will be on inverse problems for isotropic quasilinear conductivity
equations\, as well as semilinear Schrodinger and magnetic Schrodinger eq
uations. In particular\, we shall see that the presence of a nonlinearity
may actually help\, allowing one to solve inverse problems in situations w
here the corresponding linear counterpart is open.
DTSTART;TZID=America/Los_Angeles:20230215T160000
DTEND;TZID=America/Los_Angeles:20230215T170000
LAST-MODIFIED:20230202T071823Z
LOCATION:PDL C-38
SEQUENCE:73
SUMMARY:: Inverse boundary problems for nonlinear elliptic PDE (Joint with
IP seminar)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-16/inverse-boundary-problems
-nonlinear-elliptic-pde-joint-ip-seminar
END:VEVENT
BEGIN:VEVENT
UID:ebba023d-44c5-4965-9a75-6a364c53cdfe
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230202T190652Z
DESCRIPTION:Speaker: Bruno Benedetti\, University of Miami\n\nAbstract:\nHa
miltonian graphs are graphs where one can find a closed walk that touches
all vertices exactly once. Equivalently\, they are the graphs whose vertic
es can be labeled from 1 to n so that all of 12\, 23\, 34\, …\, n1 featu
re among the edges. This second definition has the advantage that it can b
e extended to simplicial complexes of dimension higher than one. Similarly
\, one can extend to complexes other famous properties of graph theory (li
ke being interval\, unit-interval\, chordal\, co-comparability...) We exte
nd to all dimensions the famous result that all unit-interval 2-connected
graphs are Hamiltonian. If time permits\, we also discuss how to character
ize unit-interval graphs and complexes in algebraic terms (i.e. in terms o
f Groebner bases of determinant ideals). This is joint work with Matteo V
arbaro and Lisa Seccia.\nNote: This talk begins with a pre-seminar (aimed
at graduate students) at 4:00–4:30. The main talk starts at 4:40.\nJoin Zo
om Meeting: https://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5
974
DTSTART;TZID=America/Los_Angeles:20230215T160000
DTEND;TZID=America/Los_Angeles:20230215T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU B006 and via Zoom Link: https://washington.zoom.us/j/915473359
74
SEQUENCE:74
SUMMARY:: Vertex labeling properties on graphs and complexes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-16/vertex-labeling-propertie
s-graphs-and-complexes
END:VEVENT
BEGIN:VEVENT
UID:e8955ad1-1e03-4fbc-be15-fbe2690c70c5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230213T171441Z
DESCRIPTION:Speaker: Garrett Mulcahy\, University of Washington\n\nGiven a
pile of sand\, how should one move each grain into a nearby ditch so as to
do the least amount of work? The theory of optimal transport provides an
answer to such a question\, but nowadays it has many applications both ins
ide and outside of mathematics. In this expository talk\, we will provide
a survey of some standard results in optimal transport theory: the existen
ce of optimal transport\, duality\, and Brenier's Theorem. We will then se
e how this theory elucidates the geometric structure of Wasserstein space
by discussing from a high-level perspective absolutely continuous curves a
nd gradient flows in this space.
DTSTART;TZID=America/Los_Angeles:20230216T123000
DTEND;TZID=America/Los_Angeles:20230216T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:75
SUMMARY:: An Introduction to Optimal Transport and Wasserstein Space
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-16/introduction-optimal-tran
sport-and-wasserstein-space
END:VEVENT
BEGIN:VEVENT
UID:0d2172e6-2e16-4b69-9908-2303dc810e57
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230213T153402Z
DESCRIPTION:Speaker: Lechao Xiao\, Google Brain\n\nUnderstanding the fundam
ental principles behind the massive success of neural networks is one of t
he most important open questions in deep learning. In this talk\, I will s
hare some progress through two recent papers. In the first part\, we consi
der the triplet (data\, model\, inference algorithm) as an integrated syst
em and discuss their synergies and symmetries. The second part focuses sol
ely on the benefits of the architecture's inductive biases. We explain how
the topologies of convolutional networks (locality\, hierarchy\, model sc
aling\, etc.) can help overcome the curse of dimensionalities in high dime
nsions.
DTSTART;TZID=America/Los_Angeles:20230216T130000
DTEND;TZID=America/Los_Angeles:20230216T140000
LAST-MODIFIED:20230213T153402Z
LOCATION:Zoom - https://washington.zoom.us/j/99239593243
SEQUENCE:76
SUMMARY:: Towards a deeper theoretical understanding of neural networks
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-16/towards-deeper-theoretica
l-understanding-neural-networks
END:VEVENT
BEGIN:VEVENT
UID:e9f09ac4-e6c3-423d-8fc7-87f8b35448a1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230214T232153Z
DESCRIPTION:Speaker: Alex Galarraga\, University of Washington\n\nBeginning
with a series of examples\, we will explore the arithmetic of postcritica
lly finite polynomials\, a dynamically defined class of polynomials. We wi
ll end with some work in progress and a small result.\nZoom Link: https://
washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230217T143000
DTEND;TZID=America/Los_Angeles:20230217T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:77
SUMMARY:: 1-2-3 Seminar: Postcritical Polynomials II: Beyond the Rationals
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-17/1-2-3-seminar-postcritica
l-polynomials-ii-beyond-rationals
END:VEVENT
BEGIN:VEVENT
UID:7cb662ef-cbce-4096-94cc-b8f307eb17b8
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221128T214231Z
DESCRIPTION:Speaker: Ronen Eldan\, Microsoft Research\n\nA useful way of pr
oducing samples from a given measure \$\nu\$ on a state space \$\Omega\$ i
s by providing a Markov chain whose stationary measure in \$\nu\$. In orde
r to be able to sample efficiently\, one needs to show that the chain 'mix
es' quickly in terms of the rate of convergence of the measure induced by
running \$k\$ steps of the chain to the stationary measure. In this talk w
e will present a framework which combines ideas from two seemingly-unrelat
ed recent techniques for proving such mixing bounds: (i) the framework of
'Spectral Independence'\, introduced by Anari\, Liu and Oveis Gharan\, bas
ed on high-dimensional expanders\, which have given rise to several breakt
hroughs in the analysis of mixing times of discrete Markov chains and (ii)
the Stochastic Localization technique which has proven useful in establis
hing mixing and expansion bounds for both log-concave measures and for mea
sures on the discrete hypercube. Our framework aims to both unify and exte
nd those techniques\, thus providing an approach that gives bounds for sam
pling algorithms in both discrete and continuous settings. In its center i
s the concept of a 'localization process' which is a martingale taking val
ues in the space of probability measures on \$\Omega\$. As it turns out\,
many Markov chains of interest (such as Glauber dynamics) appear naturally
in this framework\, and this viewpoint provides tools for deriving mixing
bounds for the dynamics through the analysis of a corresponding localizat
ion process. Generalizations of the concept of Spectral Independence natur
ally arise from our definitions\, and in particular we will show how to re
cover the main theorems in the spectral independence framework via simple
martingale arguments (completely bypassing the need to use the theory of h
igh-dimensional expanders). We demonstrate how to apply our machinery towa
rds simple proofs to many mixing bounds in the recent literature. We will
briefly discuss some applications\, among which are obtaining the first \$
O(n\log{}n)\$ bound for mixing time of the hardcore-model (of arbitrary de
gree) in the tree-uniqueness regime. Based on a joint work with Yuansi Che
n.
DTSTART;TZID=America/Los_Angeles:20230217T153000
LAST-MODIFIED:20230209T212253Z
LOCATION:ECE 125
SEQUENCE:78
SUMMARY:: Localization Schemes: A Framework for proving mixing bounds in Ma
rkov chains
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-17/localization-schemes-fram
ework-proving-mixing-bounds-markov-chains
END:VEVENT
BEGIN:VEVENT
UID:8a668c72-c785-4c2c-b44e-20c47da6056d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230217T232429Z
DESCRIPTION:Speaker: Peter Haine (Berkeley)\n\n\nPretalk title: An introduc
tion to reconstruction in algebraic geometry\n\nPretalk abstract:\n\nLet K
and L be number fields with absolute Galois groups Gal_K and Gal_L. A cla
ssical theorem of Neukirch and Uchida says that there is a bijection betwe
en the set of field isomorphisms K ⥲ L and the set of outer isomorphisms o
f profinite groups Gal_K ⥲ Gal_L. This is an example of what we refer to a
s a “reconstruction result”: it says that a number field can be reconstruc
ted from its absolute Galois group. One might wonder about analogous resul
ts for algebraic varieties: in what situations can varieties be “reconstru
cted” from a group or other algebraic/combinatorial invariant? In this pre
talk\, we’ll provide an introduction to reconstruction results with an eye
toward the reconstruction result that we’ll discuss in the main talk.\n\n
\nTalk title: Galois-theoretic reconstruction of schemes and étale homotop
y theory\n\nTalk abstract:\n\nA classical theorem of Neukirch and Uchida s
ays that number fields are completely determined by their absolute Galois
groups. In this talk we’ll explain joint work with Clark Barwick and Saul
Glasman that gives a version of this reconstruction result to schemes. Giv
en a scheme X\, we construct a category Gal(X) that records the Galois gro
ups of all of the residue fields of X (with their profinite topologies) to
gether with ramification data relating them. We’ll explain why the constru
ction X ↦ Gal(X) is a complete invariant of normal schemes of finite type
over a number field. The category Gal(X) also plays some other roles. For
example\, just like how there is a monodromy equivalence between represent
ations of étale fundamental group and local systems\, there is an equivale
nce between representations of the category Gal(X) and constructible sheav
es. This invariant also gives rise to a new definition of the étale homoto
py type.
DTSTART;TZID=America/Los_Angeles:20230221T134500
LAST-MODIFIED:20230217T232429Z
LOCATION:PDL C-38
SEQUENCE:79
SUMMARY:: Galois-theoretic reconstruction of schemes and étale homotopy the
ory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-21/galois-theoretic-reconstr
uction-schemes-and-etale-homotopy-theory
END:VEVENT
BEGIN:VEVENT
UID:cacfc6ce-489c-4906-8912-57be0076d154
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230217T174150Z
DESCRIPTION:Speaker: Hana Jia Kong (IAS)\n\n\nThe R-motivic stable homotopy
category has a close connection to the C2-equivariant category via the C2
-equivariant Betti realization map. For the bigraded homotopy groups\, the
C2-equivariant spectra are usually more complicated to compute than the R
-motivic ones\, due to the existence of the 'negative cone”. I will first
explain this connection\; then I will talk about the joint work with Gabri
el Angelini-Knoll\, Mark Beherens\, and Eva Belmont\, in which we construc
t the modified Adams--Novikov spectral sequence (mANSS) aiming to build an
odd primary analog of this R-motivic and C2-equivariant relation. Using t
he mANSS filtration\, one can construct a deformation of Borel equivariant
homotopy\, which agrees with the a-completed Artin—Tate R-motivic categor
y for group C2.
DTSTART;TZID=America/Los_Angeles:20230221T153000
DTEND;TZID=America/Los_Angeles:20230221T170000
LAST-MODIFIED:20230219T202047Z
LOCATION:PDL C-401
SEQUENCE:80
SUMMARY:: The modified Adams--Novikov spectral sequence and a deformation o
f Borel equivariant homotopy
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-21/modified-adams-novikov-sp
ectral-sequence-and-deformation-borel-equivariant
END:VEVENT
BEGIN:VEVENT
UID:ca89c0fd-670a-46f3-861a-bc3a2b27e614
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230214T171114Z
DESCRIPTION:Speaker: Mat Langford (UTK)\n\nI will describe how to construct
a new family of ancient solutions to the Ricci flow on spheres of all dim
ensions. The two dimensional example is just the King—Rosenau solution (ak
a “the sausage model”) which near spacetime infinity resembles two cigar s
olitons joined by a stationary cylinder. The higher dimensional examples a
re new\, and resemble a family of cigar $(n-2)$-planes centred at every po
int of an $(n-2)$-sphere of radius $\sim-2t$\, joined by the stationary cy
linder $S^1\times\mathbb{R}^{n-1}$.
DTSTART;TZID=America/Los_Angeles:20230222T160000
DTEND;TZID=America/Los_Angeles:20230222T170000
LAST-MODIFIED:20230217T181112Z
LOCATION:CMU B - 006
SEQUENCE:81
SUMMARY:: Ancient Ricci flows of bounded girth
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-23/ancient-ricci-flows-bound
ed-girth
END:VEVENT
BEGIN:VEVENT
UID:0739a968-07d9-4610-b515-e750cb9f1fda
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230202T190939Z
DESCRIPTION:Speaker: Andrew Berget\, Western Washington University\n\nAbstr
act:\nThere is a general framework to extract an affine variety from a sub
bundle of a trivial bundle on a projective variety. Many nice properties o
f the affine variety are tied to nice properties of the subbundle. This is
the so-called 'geometric method'\, employed by Kempf\, Lascoux\, Weyman a
nd others to study determinantal and Schubert varieties. In this talk I'll
present a down-to-earth example of this method\, that will recover result
s on Ardila and Boocher on the 'Schubert variety' of a linear subspace. I'
ll show how the geometric method and a recent construction of Eur\, Huh an
d Larson gives rise to a new\, shellable\, simplicial complex derived from
a matroid whose h-vector is the f-vector of the matroid. This latter resu
lt is joint with Dania Morales.\nNote: This talk begins with a pre-seminar
(aimed at graduate students) at 4:00–4:30. The main talk starts at 4:40.
\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID: 9
15 4733 5974
DTSTART;TZID=America/Los_Angeles:20230222T160000
DTEND;TZID=America/Los_Angeles:20230222T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:82
SUMMARY:: The geometric method\, matroids and related simplicial complexes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-23/geometric-method-matroids
-and-related-simplicial-complexes
END:VEVENT
BEGIN:VEVENT
UID:e0ec18fb-6cef-4eec-bdae-9247e5d28601
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230222T175718Z
DESCRIPTION:Speaker: Kevin Chien\, University of Washington\n\nWe look at t
he Nash-Moser theorem in the setting of tame Fréchet spaces as formulated
by Richard Hamilton (1982). For motivation\, we present some geometric exa
mples. This talk is purely expository.
DTSTART;TZID=America/Los_Angeles:20230223T123000
DTEND;TZID=America/Los_Angeles:20230223T133000
LAST-MODIFIED:20230222T175718Z
LOCATION:PDL C-401
SEQUENCE:83
SUMMARY:: The Nash-Moser Theorem (remix\, feat. R.S. Hamilton)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-23/nash-moser-theorem-remix-
feat-rs-hamilton
END:VEVENT
BEGIN:VEVENT
UID:4cca8757-1db6-4b98-bffa-d7e9371bdb74
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230223T170309Z
DESCRIPTION:Speaker: Cameron Wright (University of Washington)\n\nJacobians
of smooth curves are well-studied classical objects which have been studi
ed since the work of Riemann. In the time since then\, there have been man
y generalizations of this theory\, including in particular constructions o
f Jacobians for curves with nodal singularities. These Jacobians are typic
ally not projective and\, as such\, much work has been invested to compact
ify these objects. In this talk we study a family of compactifications of
Jacobians of nodal curves due to Oda and Seshadri. These constructions rel
y on combinatorial and convex-geometric machinery which is interesting in
its own right. Here\, we survey both the algebro-geometric and the convex-
geometric constructions needed to appreciate Oda-Seshadri's results.
DTSTART;TZID=America/Los_Angeles:20230224T103000
DTEND;TZID=America/Los_Angeles:20230224T112000
LAST-MODIFIED:20240822T184151Z
LOCATION:Thomson Hall (THO) 325
SEQUENCE:84
SUMMARY:: Combinatorial Algebraic Geometry: Compactifications of Jacobians
of Nodal Curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-24/combinatorial-algebraic-g
eometry-compactifications-jacobians-nodal-curves
END:VEVENT
BEGIN:VEVENT
UID:de06fded-9c53-435e-baba-63c52eed84fc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230220T195503Z
DESCRIPTION:Speaker: Yirong Yang\, University of Washington\n\nHow many com
binatorially distinct n-vertex triangulations of a d-dimensional sphere ar
e there? In this talk\, we will have a crash course in simplicial complex\
, going through basic definitions and tools\, and use them to build A LOT
OF spheres (a construction due to Nevo\, Santos\, and Wilson) to achieve t
he currently known best lower bound for the case when d is odd!\nZoom Link
: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230224T143000
DTEND;TZID=America/Los_Angeles:20230224T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:85
SUMMARY:: 1-2-3 Seminar: Many Spheres in the Join of Paths
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-24/1-2-3-seminar-many-sphere
s-join-paths
END:VEVENT
BEGIN:VEVENT
UID:deec8736-7c1f-48cb-8b56-43aee8a6e312
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20221128T214811Z
DESCRIPTION:Speaker: Kenneth M. Golden\, University of Utah\n\nThe Arctic i
s often described as ground zero for climate change. Precipitously declini
ng sea ice is impacting the polar marine environment and its ecosystems\,
with ripples felt far beyond the polar regions. Predicting the fate of Ear
th’s sea ice packs requires a lot of math. Come along with Ken Golden\, th
e Indiana Jones of Mathematics\, as he tells how math is transforming our
understanding of sea ice and its role in climate and polar ecosystems. Fro
m tiny brine inclusions inside the ice to sea ice dynamics on oceanic scal
es\, and from microbes to polar bears\, he’ll tour a broad range of advanc
es in the mathematics\, physics\, and biology of sea ice\, and conclude wi
th an exciting video of an Antarctic expedition.\n\nKen Golden is a Distin
guished Professor of Mathematics and Adjunct Professor of Biomedical Engin
eering at the University of Utah\, with principal research interests in ma
thematics of sea ice and climate\, polar ecosystems\, and composite mater
ials. He has been on eighteen polar expeditions\, given over 500 invited l
ectures on six continents\, including three presentations in the U.S. Con
gress\, and won numerous teaching awards. His work has been covered by me
dia around the world\, including profiles in Science\, Scientific American
\, Physics Today\, and the BBC. Golden is a Fellow of the Society for Indu
strial and Applied Mathematics\, an Inaugural Fellow of the American Mathe
matical Society\, and a Fellow of the Explorers Club\, whose members have
included Neil Armstrong\, Jane Goodall\, and Sir Edmund Hillary.
DTSTART;TZID=America/Los_Angeles:20230224T153000
LAST-MODIFIED:20230216T225414Z
LOCATION:ECE 125
SEQUENCE:86
SUMMARY:: Modeling the Melt: What math tells us about sea ice and polar eco
systems in a warming climate
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-24/modeling-melt-what-math-t
ells-us-about-sea-ice-and-polar-ecosystems-warming
END:VEVENT
BEGIN:VEVENT
UID:f3a8b83f-0e74-431e-9dd9-c1d6f6cffa80
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230129T233525Z
DESCRIPTION:Speaker: Tvrtko Tadic (Microsoft\, Redmond)\n\nInformation abou
t entities in large networks is often represented as high dimensional num
erical vectors. This makes calculating various relationships among entitie
s computationally expensive. Ideally\, we would like to compress the data
we have and still be able to calculate the same relationships. Random pro
jections have proven to be a powerful tool in dimension reduction and this
approach simplified many problems . The Graph Intelligence Sciences team
at Microsoft recently used this method to efficiently compute products of
large matrices associated with Office 365 tenant-level graphs\, and thus r
epresent higher-order similarity between vertices in these graphs. In this
talk\, we will discuss how well some quantities are preserved under the r
andom projection method and introduce new results on approximation quality
under cosine similarity. We will also show some cases when the method can
fail. Ongoing work with Cassiano Becker.
DTSTART;TZID=America/Los_Angeles:20230227T143000
LAST-MODIFIED:20230216T211941Z
LOCATION:MGH-085
SEQUENCE:87
SUMMARY:: Large Network Analysis using Random Projections
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-27/large-network-analysis-us
ing-random-projections
END:VEVENT
BEGIN:VEVENT
UID:fdb702d8-e3d3-4010-871a-62d44bd540cb
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230224T181518Z
DESCRIPTION:Speaker: Yuan Liu\, University of Illinois Urbana-Champaign\n\n
Abstract:\nThe nonabelian Cohen—Lenstra program studies the distribution o
f the Galois group of maximal unramified extension of \$K\$ as \$K\$ varie
s in a family of global fields. In this talk\, we will discuss some new de
velopments for this type of question. We will introduce a cohomological in
variant of a Galois extension of \$\mathbb{F}_q\$. We show that by keeping
track of this invariant we can generalize the nonabelian Cohen—Lenstra He
uristics given by Liu\, Wood\, and Zureick-Brown to cover the case when th
e base field contains extra roots of unity\; moreover\, we show that the n
ew conjecture is a nonabelian generalization of the work by Lipnowski\, Ts
imerman\, and Sawin. We will prove the conjecture with a large \$q\$ limit
\, and discuss how to make a similar conjecture for number fields.
DTSTART;TZID=America/Los_Angeles:20230228T110000
DTEND;TZID=America/Los_Angeles:20230228T120000
LAST-MODIFIED:20230224T210531Z
LOCATION:PDL C-401
SEQUENCE:88
SUMMARY:: Number Theory Seminar: Nonabelian Cohen—Lenstra heuristics in the
presence of roots of unity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-28/number-theory-seminar-non
abelian-cohen-lenstra-heuristics-presence-roots-unity
END:VEVENT
BEGIN:VEVENT
UID:dd5d5d58-f790-4cf7-a832-a4028bd56839
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230227T060825Z
DESCRIPTION:Speaker: Guchuan Li (Michigan)\n\nTitle: Vanishing results in C
hromatic homotopy theory at prime 2\nAbstract: Chromatic homotopy theory i
s a powerful tool to study periodic phenomena in the stable homotopy group
s of spheres. Under this framework\, the homotopy groups of spheres can b
e built from the fixed points of Lubin--Tate theories $E_h$. The homotopy
groups of these fixed points are periodic and computed via homotopy fixed
points spectral sequences. In this talk\, we prove that at the prime 2\,
for all heights $h$ and all finite subgroups $G$ of the Morava stabilizer
group\, the $G$-homotopy fixed point spectral sequence of $E_h$ collapses
after the $N(h\,G)$-page and admits a horizontal vanishing line of filtra
tion $N(h\,G)$. \nOur proof uses new equivariant techniques developed by H
ill--Hopkins--Ravenel in their solution of the Kervaire invariant one prob
lem. As an application\, we give a computation $E_2^{hG_{48}}$ based on t
his vanishing result. This is joint work with Zhipeng Duan and XiaoLin Dan
ny Shi.
DTSTART;TZID=America/Los_Angeles:20230228T153000
LAST-MODIFIED:20230227T060825Z
LOCATION:PDL C-401
SEQUENCE:89
SUMMARY:: Vanishing results in Chromatic homotopy theory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-02-28/vanishing-results-chromat
ic-homotopy-theory
END:VEVENT
BEGIN:VEVENT
UID:b57d2312-db05-40dc-88d0-7e89cf567fb0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230202T191034Z
DESCRIPTION:Speaker: Rekha Thomas\, University of Washington\n\nAbstract:\n
A basic task in computer vision is to reconstruct 3-dimensional scenes fro
m camera images. This problem can be modeled using (real) algebraic geomet
ry. The answers draw on multiple fields such as combinatorics\, classical
invariant theory and classical algebraic geometry. This talk is an overvie
w of some recent results around the reconstruction problem. \nNote: This t
alk begins with a pre-seminar (aimed at graduate students) at 4:00–4:30. T
he main talk starts at 4:40.\nJoin Zoom Meeting: https://washington.zoom.u
s/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230301T160000
DTEND;TZID=America/Los_Angeles:20230301T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:90
SUMMARY:: Algebra\, Geometry & Combinatorics of the Pinhole Camera
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-02/algebra-geometry-combinat
orics-pinhole-camera
END:VEVENT
BEGIN:VEVENT
UID:dd905e57-1422-4192-88ad-f3f9686e92f8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230226T180720Z
DESCRIPTION:Speaker: Kevin Tully\, University of Washington\n\nLoosely spea
king\, the geodesic X-ray transform takes a function and integrates it alo
ng geodesics of a Riemannian manifold with boundary. The Euclidean version
(where geodesics are just lines) is the mathematical basis for CT scans.
After touching on this application to medical imaging\, we will focus on t
wo questions:\n\nIf a function integrates to zero along all geodesics\, is
it zero?\nIf a function (roughly) integrates to zero along all geodesics\
, is it (roughly) zero?\n\nWe will answer these questions on 'simple' mani
folds\, discuss the impact of conjugate points\, and conclude with some op
en problems.
DTSTART;TZID=America/Los_Angeles:20230302T123000
DTEND;TZID=America/Los_Angeles:20230302T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:91
SUMMARY:: Injectivity and Stability of the Geodesic X-Ray Transform
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-02/injectivity-and-stability
-geodesic-x-ray-transform
END:VEVENT
BEGIN:VEVENT
UID:65c4ff03-b542-46ce-8786-922fba921d46
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230308T170047Z
DESCRIPTION:Speaker: Andrew Tawfeek (University of Washington)\n\nWe introd
uce the notion of a tropical vector bundle (of rank n) over a tropical cyc
le X\, which is equivalently interpretable as a polyhedral complex living
'above' X or GL_n-torsor. Primarily relying on the more-accessible combina
torial definition\, we go on to look at morphisms\, rational sections\, an
d pull-backs of these bundles. After some examples\, we will discuss how o
ne can take local intersection products and construct Chern classes -- con
cluding the talk with a classification of all vector bundles on a (tropica
l) elliptic curve up to isomorphism\, which will (surprisingly!) coincide
with Atiyah's 1957 result in classical algebraic geometry.
DTSTART;TZID=America/Los_Angeles:20230303T103000
DTEND;TZID=America/Los_Angeles:20230303T112000
LAST-MODIFIED:20240822T184151Z
LOCATION:Thomson Hall (THO) 325
SEQUENCE:92
SUMMARY:: Combinatorial Algebraic Geometry: Tropical Vector Bundles and the
ir Chern Classes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-03/combinatorial-algebraic-g
eometry-tropical-vector-bundles-and-their-chern-classes
END:VEVENT
BEGIN:VEVENT
UID:0f003d0b-46a6-4fc8-9d46-e434578633cf
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230301T015110Z
DESCRIPTION:Speaker: Josh Hinman\, University of Washington\n\nSerge Lang s
aid\, in praise of Grothendieck’s Éléments de géométrie algébrique: “A the
orem is not true any more because one can draw a picture\, it is true beca
use it is functorial.” With all due respect to Lang and Grothendieck\, I d
isagree – in my opinion\, a theorem often is true because one can draw a p
icture. Nowhere is this clearer than in the study of polytopes. In my talk
\, I’ll demonstrate how to visualize higher-dimensional polytopes\, show y
ou some of my favorite ones\, and discuss a few results about them. By the
end\, I hope to convince you that solving a math problem often just means
drawing the right picture.\nZoom Link: https://washington.zoom.us/j/92849
568892
DTSTART;TZID=America/Los_Angeles:20230303T143000
DTEND;TZID=America/Los_Angeles:20230303T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:93
SUMMARY:: 1-2-3 Seminar: Solving Math Problems with Pictures
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-03/1-2-3-seminar-solving-mat
h-problems-pictures
END:VEVENT
BEGIN:VEVENT
UID:6d4debac-7d20-4ff6-8ef9-d92143a17900
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221128T215131Z
DESCRIPTION:Speaker: Jacob Fox\, Stanford University\n\nA graph is Ramsey i
f its largest clique or independent set is of size logarithmic in the numb
er of vertices. While almost all graphs are Ramsey\, there is still no kno
wn explicit construction of Ramsey graphs. We discuss recent progress on f
inding these 'dark matter' of graphs. Along the way\, we study some fundam
ental problems in additive combinatorics\, and discover that group structu
re is superfluous for these problems. Joint work with David Conlon\, Huy T
uan Pham\, and Liana Yepremyan.
DTSTART;TZID=America/Los_Angeles:20230303T153000
LAST-MODIFIED:20230215T215436Z
LOCATION:ECE 125
SEQUENCE:94
SUMMARY:: Ramsey graphs and additive combinatorics without addition
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-03/ramsey-graphs-and-additiv
e-combinatorics-without-addition
END:VEVENT
BEGIN:VEVENT
UID:d32a3e95-df36-4067-928b-0c2f75a5c0ba
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230129T233608Z
DESCRIPTION:Speaker: Joe Stover (Gonzaga)\n\nThe Poisson process models eve
nts arriving randomly in time (e.g. radioactive decays). Poisson processes
are used to build many more complex models\, including queues or interact
ing particle systems such as the Ising model or contact process. The stand
ard Poisson process assumes events arrive at a constant rate\, with the (r
andom) wait time between events following an exponential distribution. In
this talk\, our primary goal will be to understand a multirate Poisson pro
cess (MPP) where the arrival rate randomly varies between several values a
ccording to a background Markov process. This model (the background and fo
reground processes together) can also be called a continuous-time hidden M
arkov chain. Our primary goal is to show when the MPP (stochastically) dom
inates a standard single-rate Poisson process. Stochastic domination betwe
en two random variables or stochastic processes means that one is 'above'
the other and can be understood by its equivalency to the existence of a c
oupling which preserves the ordering. We study the discrete-time version o
f the model and domination of product measures first\, arriving at the res
ults for the continuous-time model via weak convergence of cadlag step fun
ction sample paths. Formulating the problem using matrix theory provides t
he key to derive our results in a straightforward way. The optimal couplin
g parameters (the product measure probability parameter and the standard s
ingle-rate Poisson process arrival rate) are shown to be related to eigenv
alues of matrices constructed from the model parameters in a simple way. T
his work solves an open problem stated in Broman (2007). In that paper\, t
he case where the MPP alternates between two arrival rates is studied\, wh
ereas we provide sufficient conditions for the case where there are an arb
itrary number of rates---that the optimal coupling parameter is an eigenva
lue is novel and general for the entire class of models (those satisfying
our sufficient condition).\n\nBroman\, Erik I. (2007). Stochastic dominati
on for a hidden Markov chain with applications to the contact process in a
randomly evolving environment. Ann. Probab. 35\, no. 6\, 2263-2293. MR235
3388 https://doi.org/10.1214/0091179606000001187
DTSTART;TZID=America/Los_Angeles:20230306T143000
LAST-MODIFIED:20230216T224746Z
LOCATION:MGH-085
SEQUENCE:95
SUMMARY:: Stochastic domination for multirate Poisson processes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-06/stochastic-domination-mul
tirate-poisson-processes
END:VEVENT
BEGIN:VEVENT
UID:98e385ca-716a-4f0f-b07a-284eaba7425e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230306T173107Z
DESCRIPTION:Speaker: Mar Curcó-Iranzo\, Utrecht University\n\nAbstract:\nTh
e Jacobian J0(N) of the modular curve X0(N) has received much attention w
ithin arithmetic geometry for its relation with cusp forms and elliptic cu
rves. In particular\, the group of Q-rational points on X0(N) controls the
cyclic N-isogenies of elliptic curves. A conjecture of Ogg predicted that
\, for N prime\, the torsion of this group comes all from the cusps. The s
tatement was proved by Mazur and later generalised to arbitrary level N in
to what we call generalised Ogg’s conjecture.\nConsider now the generalise
d Jacobian J0(N)m with respect to a modulus m. This algebraic group also
seems to be related to the arithmetic of X0(N) through the theory of modul
ar forms. In the talk we will present new results that compute the Q-ratio
nal torsion of J0(N) for N an odd integer with respect to a cuspidal modul
us m. These generalise previous results of Yamazaki\, Yang and Wei. In doi
ng so\, we will also discuss how our results relate to generalised Ogg’s c
onjecture.
DTSTART;TZID=America/Los_Angeles:20230307T110000
DTEND;TZID=America/Los_Angeles:20230307T120000
LAST-MODIFIED:20230306T173107Z
LOCATION:PDL C-401
SEQUENCE:96
SUMMARY:: Generalised Jacobians of modular curves and their Q-rational tors
ion.
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-07/generalised-jacobians-mod
ular-curves-and-their-q-rational-torsion
END:VEVENT
BEGIN:VEVENT
UID:90c2112f-997f-49dd-9554-95dbd137ce7e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230227T180848Z
DESCRIPTION:Speaker: Jared Marx-Kuo\n\n\n\n\nIn this talk\, we discuss the
regularity and renormalized volume of minimal submanifolds\, Y\, of arbit
rary codimension in Poincare-Einstein manifolds\, M. Using geometric and m
icrolocal techniques\, we derive polyhomogeneous expansions for the minima
l submanifold and variations along it. We then present formulae for the fi
rst and second variations of renormalized volume. We end with an orthogona
lity relationship between coefficients in the expansion of Y\, for the spe
cific case of M = H^{n+1}. In all theorems\, we emphasize the Dirichlet-t
o-Neumann type map and its presence in formulae.
DTSTART;TZID=America/Los_Angeles:20230307T113000
DTEND;TZID=America/Los_Angeles:20230307T122000
LAST-MODIFIED:20230227T234346Z
LOCATION:SMI 309
SEQUENCE:97
SUMMARY:: Variations of Renormalized Volume for Minimal Submanifolds of Poi
ncare-Einstein Spaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-07/variations-renormalized-v
olume-minimal-submanifolds-poincare-einstein-spaces
END:VEVENT
BEGIN:VEVENT
UID:08276ddc-6e06-4f6f-8ed0-93926b4b3346
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230307T003857Z
DESCRIPTION:Speaker: Dan Bragg (University of Utah)\n\n\nTitle: A Stacky Mu
rphy’s Law for the Stack of Curves\nAbstract: We show that every Deligne-M
umford gerbe over a field occurs as the residual gerbe of a point of the m
oduli stack of curves. Informally\, this means that the moduli space of cu
rves fails to be a fine moduli space in every possible way. We also show t
he same result for a list of other natural moduli problems. This is joint
work with Max Lieblich.
DTSTART;TZID=America/Los_Angeles:20230307T134500
LAST-MODIFIED:20230307T003926Z
LOCATION:PDL C-38
SEQUENCE:98
SUMMARY:: A Stacky Murphy’s Law for the Stack of Curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-07/stacky-murphys-law-stack-
curves
END:VEVENT
BEGIN:VEVENT
UID:d9b454ee-c45f-4515-9090-0c012cf9f0e0
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213436Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
Graduate Admissions Committee - Koblitz\n\n\nCommittee Reports\n\nUndergra
duate Program Committee - Taggart\n\n\nNew Business\nExecutive Session\nAd
journment\n\nMINUTES\nThe regular meeting of the faculty of the Department
of Mathematics was held virtually via Zoom at 3:30pm PST\, March 7\, 2023
. John Palmieri\, Chair\, presided at the meeting. Rose Choi was recording
secretary. \nThe meeting began with approval of the previous meeting’s mi
nutes.\nChair's Remarks\nThe prospective graduate students will be visitin
g the department at the end of this week. Please participate as much as yo
u can.\nUSTARS (Underrepresented Students in Topology and Algebra Research
Symposium) will take place on March 18 & 19 at UW. Paige Helms sent out a
n announcement with details for the event via e-mail. Faculty and students
are encouraged to attend.\nThe University is requesting 4% merit raises f
or faculty but anticipating at least 3%. There looks to be more flexibilit
y in how these will be distributed this year as opposed to recent years. U
nit adjustment raises have also been approved by the Provost. In preparati
on\, the Personnel Committee had drafted a list of priorities last spring\
, first of which was to benefit the lowest paid\, highly meritorious full
professors and teaching-stream faculty. However\, nominations were limited
to a quarter of the faculty which prevented all who fall in these two gro
ups from being nominated. The College is hoping to offer these unit adjust
ment raises again in the next two years\, at which point the Personnel Com
mittee hopes to nominate the remaining faculty who were not put forward th
is year.\nThe next round of teaching preference forms will be sent out soo
n. Please consider signing up to teach online calculus\, in-person calculu
s\, MATH 207 & 208\, MATH 381\, and MATH 116\, MATH 282\, MATH 382\, and M
ATH 397. Sarah Garner and Jenni Taggart can provide details on these cours
es.\nStarting next year\, the large 100-level courses will be increased to
enroll 240 students. The aim of this is to reduce the department’s teachi
ng load so that those in the teaching-stream will have a one-course reduct
ion in teaching moving forward (from seven to six) and tenure-stream facul
ty will go from teaching\, on average\, four courses per year to about thr
ee-and-a-half courses. The department’s teaching-credit system will\, ther
efore\, be updated accordingly per the Executive Committee.\nThe room rese
rvation system is changing. PDL C-38\, PDL C-401\, and CMU B-006 are going
to be available for seminars\, reading groups\, and similar activities. D
etails for the new policy have been added to the website at https://math.w
ashington.edu/room-reservation-policy.\nAdmitted student days for undergra
duate students is on April 15th from 1-3pm at the Burke Museum. Purple & G
old days on April 1st is an event geared towards underrepresented students
who have been admitted. If you are interested in attending either of thes
e events\, please let John Palmieri know.\nThe College has requested that
departments develop their own guidelines for all four promotion cases (Ass
istant-to-Associate and Associate-to-Full promotions for both the tenure-
and teaching-stream faculty) to supplement the College's own guidelines. T
he department had already approved guidelines for the promotion to associa
te professor with tenure and must now develop criteria for the remaining t
hree cases. For the promotion to associate professor with tenure\, in 2021
the department added two items: (1) regarding research\, author order on
papers is typically alphabetical in mathematics\, and our default position
is that each listed author is assumed to have made roughly equal contribu
tions. (2) Regarding teaching\, we tried to de-emphasize student evaluatio
ns and listed some other items that we consider important in evaluating te
aching.\nThe Executive Committee recommends the following:\n\nFor promotio
n to (tenured) professor\, we follow the College's guidelines\, along with
modifications (1) and (2).\nFor promotion in the teaching ranks\, we foll
ow the College's guidelines\, along with modification (2).\n\nA vote was h
eld\, passed\, and approved.\nAnnouncements\nThis Thursday and Friday ther
e will be 23 prospective graduate students visiting the department. Please
answer any questions they may have and make them feel welcome. They’ve al
l received offers and we are working hard to recruit them. If they share a
ny information pertaining to their decision to accept or decline the offer
\, please pass this along to Neal Koblitz. A schedule will be posted on th
e department bulletin.\nCommittee Reports\nThe Undergraduate Program Commi
ttee proposes updating the catalogue description of MATH 407: Linear Optim
ization to more accurately reflect what is currently being taught\, as wel
l as requiring a background in proofs to be able to follow along with the
course material. A vote was held\, passed\, and approved. \nNew Business\n
WXML is holding a poster session in the math lounge at 5:30pm this Thursda
y.\nMath Day could use more volunteers for tech support and other facets t
hat don’t involve direct interaction with high school students.\nADJOURNME
NT\nThe meeting passed into executive session at 4:10pm.
DTSTART;TZID=America/Los_Angeles:20230307T153000
LAST-MODIFIED:20230606T212329Z
LOCATION:Zoom
SEQUENCE:99
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-07/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:9d89f2d2-364b-466e-8ba5-ac17f607c1d0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230118T235158Z
DESCRIPTION:Speaker: Andras Vasy (Stanford U)\n\nI will explain a microloca
l framework for wave propagation on asymptotically flat spacetimes of arbi
trary dimension which in particular includes operator corresponding to Lor
entzian metrics arising from solutions of Einstein’s equations in the 4 sp
acetime dimensional setting. On the compactification of Minkowski space th
at underlies this\, which is a manifold with corners\, the operators lie i
n a combination of Melrose’s totally characteristic (also called b)\, and
Mazzeo’s edge pseudodifferential operator algebras. This is joint work wit
h Peter Hintz.
DTSTART;TZID=America/Los_Angeles:20230308T160000
DTEND;TZID=America/Los_Angeles:20230308T170000
LAST-MODIFIED:20230227T185312Z
LOCATION:PDL C-38
SEQUENCE:100
SUMMARY:: Microlocal analysis near null infinity on asymptotically flat spa
cetimes (Joint with IP seminar)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-09/microlocal-analysis-near-
null-infinity-asymptotically-flat-spacetimes-joint-ip
END:VEVENT
BEGIN:VEVENT
UID:309a73a4-9217-4f42-8393-ec073dc4f900
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230217T204033Z
DESCRIPTION:Speaker: Herman Chau\, University of Washington\n\nAbstract:\nW
e generalize the higher weak orders of Manin and Schechtmann to arbitrary
permutations \$w\$ in the affine symmetric group \$\widetilde{S}_n\$. We s
how that the 2nd higher weak order \$B_{n\,2}(w)\$ is a bounded graded pos
et with unique minimal and maximal elements and conjecture based on partia
l results and computational evidence\, that the same is true for all \$B_{
n\,k}(w)\$ where \$2 \le k \le n\$. We also prove an upper bound on \$|B_{
n\,2}(w)|\$ via a combinatorial structure we call a weaving pattern. This
is joint work with Sara Billey\, Ben Elias\, and Kevin Liu.\nNote: This ta
lk begins with a pre-seminar (aimed at graduate students) at 4:00–4:30. Th
e main talk starts at 4:40.\nJoin Zoom Meeting: https://washington.zoom.us
/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230308T160000
DTEND;TZID=America/Los_Angeles:20230308T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:101
SUMMARY:: Higher Weak Order of Affine Permutations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-09/higher-weak-order-affine-
permutations
END:VEVENT
BEGIN:VEVENT
UID:48c353b7-c5c8-4597-9b6e-54a555d693cc
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230302T220441Z
DESCRIPTION:Speaker: Herman Chau\n\nAdvisor: Sara Billey
DTSTART;TZID=America/Los_Angeles:20230308T163000
LAST-MODIFIED:20230302T220441Z
LOCATION:Padelford C-401
SEQUENCE:102
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-09/general-exam-0
END:VEVENT
BEGIN:VEVENT
UID:1a6bb658-c820-4b26-a890-d4c1bde822e5
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230224T204629Z
DESCRIPTION:Speaker: Kevin Tully\n\nAdvisor: Gunther Uhlmann
DTSTART;TZID=America/Los_Angeles:20230309T103000
LAST-MODIFIED:20230224T204629Z
LOCATION:CMU 243
SEQUENCE:103
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-09/general-exam
END:VEVENT
BEGIN:VEVENT
UID:adc33b94-9b2a-4c45-b080-f3a0687f64dd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230308T213810Z
DESCRIPTION:Speaker: Ruirui Wu\, University of Washington\n\n\nThis paper s
hows that anisotropic real-analytic conductivities on certain manifolds ca
n be determined up to isometry by boundary measurements\, which is contain
ed in the Dirichlet-to-Neumann maps. By giving a decomposition of Riemanni
an Laplacian into product of pseudo-differential operators\, the proof fir
st shows the Taylor series for the metric can be recovered from the DN map
. Then given two anisotropic real-analytic conductivities with identical D
N map\, they are able to construct a diffeomorphism on the manifold by ana
lytic continuation\, under which the pullback of one conductivity is ident
ical to the other.
DTSTART;TZID=America/Los_Angeles:20230309T123000
DTEND;TZID=America/Los_Angeles:20230309T133000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:104
SUMMARY:: On the paper 'Determining Anisotropic Real-Analytic Conductivitie
s by Boundary Measurements\,' by Lee and Uhlmann
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-09/paper-determining-anisotr
opic-real-analytic-conductivities-boundary-measurements
END:VEVENT
BEGIN:VEVENT
UID:fa19cfc3-966a-454a-8a04-35430295ad10
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events\, Student Activities
CLASS:PUBLIC
CREATED:20230307T004815Z
DESCRIPTION:: WXML poster session\n\nMath department lounge\nSpecial Events
\, Student Activities\nhttps://math.washington.edu/events/2023-03-10/wxml-
poster-session
DTSTART;TZID=America/Los_Angeles:20230309T173000
DTEND;TZID=America/Los_Angeles:20230309T190000
LAST-MODIFIED:20230307T224910Z
LOCATION:Math department lounge
SEQUENCE:105
SUMMARY:: WXML poster session
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-10/wxml-poster-session
END:VEVENT
BEGIN:VEVENT
UID:d077aaaa-14be-4908-8d91-bd48e89e3c0b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230308T170005Z
DESCRIPTION:Speaker: Natasha Crepeau (University of Washington)\n\nDivisors
on graphs foster a rich connection between algebraic geometry and combina
torics\, especially connections between the moduli theory of algebraic cur
ves to graph theory and polyhedral geometry. In this talk we will walk thr
ough results presented in A universal tropical Jacobian over M_g^trop by A
breu\, Andria\, Pacini\, and Taboada: we'll start with defining relevant d
ivisors on tropical curves and graphs\, introduce some stability condition
s and special polytopes\, and conclude with a construction of a universal
tropical Jacobian.
DTSTART;TZID=America/Los_Angeles:20230310T103000
DTEND;TZID=America/Los_Angeles:20230310T112000
LAST-MODIFIED:20240822T184151Z
LOCATION:Thomson Hall (THO) 325
SEQUENCE:106
SUMMARY:: Combinatorial Algebraic Geometry: Pseudo-Divisors and Polyhedral
Connections
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-10/combinatorial-algebraic-g
eometry-pseudo-divisors-and-polyhedral-connections
END:VEVENT
BEGIN:VEVENT
UID:91077b1b-91f3-41a8-91b1-c631e310cf00
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230309T061952Z
DESCRIPTION:Speaker: Andrew Tawfeek\, University of Washington\n\nYou may h
ave heard those odd combination of words: 'tropical geometry'\, but what i
n the world is it? Where did it come from and why are various people from
combinatorics\, number theory\, and geometry\, all suddenly talking about
it? Is it secretly a big ploy for mathematicians across fields to get mone
y for hosting conferences in tropical locations? In this talk\, we'll fina
lly get our answer to these pressing questions: and see an example for why
each of these subjects cares for this subject.\nZoom Link: https://washin
gton.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230310T143000
DTEND;TZID=America/Los_Angeles:20230310T152000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:107
SUMMARY:: 1-2-3 Seminar: An Honest-to-Goodness Explanation of Tropical Geom
etry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-10/1-2-3-seminar-honest-good
ness-explanation-tropical-geometry
END:VEVENT
BEGIN:VEVENT
UID:8724fe05-b421-45c1-9d33-63a3d4cb9a6d
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230310T164454Z
DESCRIPTION:Speaker: Curtiss Lyman\n\nAdvisor: Alexis Drouot
DTSTART;TZID=America/Los_Angeles:20230313T100000
LAST-MODIFIED:20230310T164454Z
LOCATION:LOW 222
SEQUENCE:108
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-13/general-exam
END:VEVENT
BEGIN:VEVENT
UID:fdf1c024-b222-441e-87d8-9020c6818e84
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events
CLASS:PUBLIC
CREATED:20230201T000402Z
DESCRIPTION:MATH DAY FOR HIGH SCHOOL STUDENTS\nOver a thousand teachers and
high school students are invited to the UW Seattle Campus to uncover the
exciting\, practical and rewarding world of mathematics. Choose from a var
iety of sessions throughout the day that cover diverse applications of mat
h. Listen to panel discussions on UW student life\, watch demonstrations a
nd more. You can also participate in field trips or hands on activities* t
o various campus laboratories and facilities to discover how math is put t
o use every day.\nOver the years this largely volunteer led event has grow
n in popularity and often fills up quickly!\nRegistration opens January 18
\, 2023.\n*Access to these field trips and activities is limited.\nWhat th
e Program Covers\n\n\n\n\n\n\nCutting-edge topics in the mathematical scie
nces presented by top faculty during this one-day event\nActivities\, disc
ussions\, demonstrations and campus lab visits\n\nWho Should Attend\n\n\n
\n\n\n\n\n\n\n\nHigh school students in grades 10 through 12. **\nDisabili
ty Accommodation\nTo request disability accommodations\, email mathday@uw.
edu as early as possible.\n**Content for Math Day is advanced and geared t
oward the older High School learner. Activities can involve students being
autonomous on campus without adult supervision. For these reasons\, Math
Day may not be the best fit for younger students.
DTSTART;TZID=America/Los_Angeles:20230320T000000
DTEND;TZID=America/Los_Angeles:20230320T235559
LAST-MODIFIED:20240822T184151Z
LOCATION:UW Seattle campus
SEQUENCE:109
SUMMARY:: UW Math Day
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-20/uw-math-day
END:VEVENT
BEGIN:VEVENT
UID:4f57dd0f-34d7-40b4-a8e9-05f53ededf06
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230323T212036Z
DESCRIPTION:Speaker: Dan Guyer\, University of Washington\n\nIn 1935\, Erdő
s and Szekeres posed (and answered) the following question. For each n>2\,
is it possible to put enough points in general position in the plane so t
hat it is guaranteed that some n-subset of these points forms a convex n-g
on? This question is indeed true\, and the exact number of points needed w
as conjectured by Erdős and Szekeres in 1935. Later\, natural generalizati
ons of this question were formed in higher dimensions. We will begin with
the base cases of this problem in two and three dimensions. Then\, we will
discuss a purely graph theoretic Ramsey argument that immediately proves
the existence of such point sets. Finally\, we will explore geometric cup-
cap arguments that have been used to provide tighter bounds on the size of
these point sets.\nZoom Link: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230327T160000
DTEND;TZID=America/Los_Angeles:20230327T165000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:110
SUMMARY:: 1-2-3 Seminar: A Ramsey-type Problem in Geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-27/1-2-3-seminar-ramsey-type
-problem-geometry
END:VEVENT
BEGIN:VEVENT
UID:6b17520c-c065-441e-b02d-45ae93dc5a0d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230322T230227Z
DESCRIPTION:Speaker: Jan Bohr\, University of Bonn\n\nThe tensor tomography
problem asks to what extend tensors on a manifold are determined by their
integrals along geodesics. It appears as linearisation of several importa
nt nonlinear inverse problems (such as boundary or spectral rigidity) and\
, at least in two dimensions\, it is now well understood in a variety of s
ettings. In the talk we will consider closed Anosov surfaces and explain h
ow the problem boils down to producing sufficiently many distributions tha
t are invariant under the geodesic flow. A common trick to obtain more and
more invariant distributions is to multiply them and\, given that we are
dealing with distributions\, it was long assumed that this is a touchy bus
iness. Quite recently it was observed that the relevant multiplications ca
n be performed irrespective of the underlying geometry\, which greatly sim
plifies the solution of the tensor tomography problem. The last bit of the
talk will explain this new proof of the multiplication property\, which a
ppears in joint work with Thibault Lefeuvre and Gabriel Paternain.
DTSTART;TZID=America/Los_Angeles:20230328T113000
DTEND;TZID=America/Los_Angeles:20230328T122000
LAST-MODIFIED:20230323T201010Z
LOCATION:PDL C401
SEQUENCE:111
SUMMARY:: Tensor tomography and an algebra of invariant distributions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-28/tensor-tomography-and-alg
ebra-invariant-distributions
END:VEVENT
BEGIN:VEVENT
UID:3e577120-0e9a-461e-bd60-68554fa94f46
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230125T183823Z
DESCRIPTION:Speaker: Yu Yuan\, UW\n\nWe present an integral approach to the
classical Hessian estimates for the \n\n\n\n\n\n\n\n\n\n\n\n\n\nMonge-Amp
ere equation\, originally obtained via a pointwise argument by Pogorelov.
\n\nThe monotonicity employed here results from a maximal surface interpre
tation of \n'gradient' graph of solutions in pseudo-Euclidean space.\n\nIn
the introductory part of the talk\, we explain the key role of a priori e
stimates for the\nsolvability\, regularity\, rigidity\, and error control
of numerical approximation for solutions \nto partial differential equatio
ns such as the Laplace and minimal surface equations.
DTSTART;TZID=America/Los_Angeles:20230328T133000
DTEND;TZID=America/Los_Angeles:20230328T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:112
SUMMARY:: A monotonicity approach to Pogorelov's Hessian estimates for Mong
e-Ampere equation
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-28/monotonicity-approach-pog
orelovs-hessian-estimates-monge-ampere-equation
END:VEVENT
BEGIN:VEVENT
UID:755bde5f-3980-428a-8f7a-e6736777e695
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230325T002855Z
DESCRIPTION:Speaker: Inder Kaur (Loughborough University)\n\n\nTitle: Speci
alization of dominant maps\nAbstract: Consider a flat\, projective family
of geometrically integral varieties of relative dimension n over a discret
e valuation ring. Suppose that there is a dominant rational map from the g
eneric fiber to the projective n-space. In this talk I will give a suffici
ent criterion under which this dominant map extends (up to automorphism of
P^n) to the entire family such that the restriction to the special fiber
is again dominant. I will discuss how this fits with classical examples on
rationality as well as applications to variation of irrationality. This i
s joint work in progress with Ananyo Dan.
DTSTART;TZID=America/Los_Angeles:20230328T133000
LAST-MODIFIED:20230325T002855Z
LOCATION:PDL C-38
SEQUENCE:113
SUMMARY:: Specialization of dominant maps
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-28/specialization-dominant-m
aps
END:VEVENT
BEGIN:VEVENT
UID:f290ccf3-f3be-4703-aa1f-0ad989894175
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230323T201312Z
DESCRIPTION:Speaker: Kenny Ascher (UC Irvine)\n\n\nTitle: Moduli of low deg
ree K3 surfaces\nAbstract: The explicit description of low degree K3 surfa
ces leads to natural compactifications coming from geometric invariant the
ory (GIT) and Hodge theory. The relationship between these compactificatio
ns for degree two K3 surfaces was studied by Shah and Looijenga\, and revi
sited by Laza and O'Grady\, who also provided a conjectural description fo
r the case of degree four K3 surfaces. I will discuss these results\, as w
ell as a verification of this conjectural picture using tools from K-modul
i. This is joint work with Kristin DeVleming and Yuchen Liu.
DTSTART;TZID=America/Los_Angeles:20230328T143000
LAST-MODIFIED:20230323T201312Z
LOCATION:PDL C-38
SEQUENCE:114
SUMMARY:: Moduli of low degree K3 surfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-28/moduli-low-degree-k3-surf
aces
END:VEVENT
BEGIN:VEVENT
UID:586d6b72-c55b-455d-80e4-58f494302565
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230307T173328Z
DESCRIPTION:Speaker: J.D. Quigley\, University of Oregon\n\nIn the 1960's\,
Adams computed the image of the J-homomorphism in the stable homotopy gro
ups of spheres. In this talk\, I will discuss work computing the 'motivic
image-of-J' over prime fields and its application to understanding periodi
c phenomena in the motivic stable homotopy groups of spheres over arbitrar
y base fields. Time permitting\, I will also discuss work-in-progress conn
ecting these computations to the motivic Adams spectral sequence based on
very effective Hermitian K-theory. This is joint work with Hana Jia Kong.
\nThere will be a pre-talk geared towards graduate students before the mai
n talk\, 2:30-3:15pm in THO 234. (THO is Thompson Hall\; see https://goo.g
l/maps/FLJT4BjpcnzEU7xSA for walking directions from PDL.)
DTSTART;TZID=America/Los_Angeles:20230328T153000
DTEND;TZID=America/Los_Angeles:20230328T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:115
SUMMARY:: v1-periodic motivic homotopy over prime fields
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-28/v1-periodic-motivic-homot
opy-over-prime-fields
END:VEVENT
BEGIN:VEVENT
UID:9b1a5dd7-e15d-4b55-97e6-fec7a8a697d3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230213T182223Z
DESCRIPTION:Speaker: Jan Bohr (U. Bonn)\n\nFor 2-dimensional Riemannian man
ifolds there is a rich interplay between the geodesic transport equation o
n the unit tangent bundle and Fourier analysis in the vertical fibres. Thi
s interplay has shaped the understanding of many geometric inverse problem
s and rigidity questions since the late 1970s. The transport twistor space
is a (degenerate) complex 2-dimensional manifold Z which encodes this int
erplay and sheds new light on numerous aspects of the transport equation b
y translating them into a complex geometric language. The focus of the tal
k will lie on these novel twistor correspondences\, as well as some new re
sults regarding the algebra of holomorphic functions on Z and its moduli s
pace of holomorphic vector bundles. This is based on joint work with Thiba
ult Lefeuvre and Gabriel Paternain.
DTSTART;TZID=America/Los_Angeles:20230329T160000
DTEND;TZID=America/Los_Angeles:20230329T170000
LAST-MODIFIED:20230314T190531Z
LOCATION:PDL C-38
SEQUENCE:116
SUMMARY:: On transport twistor spaces (Joint with IP seminar)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-29/transport-twistor-spaces-
joint-ip-seminar
END:VEVENT
BEGIN:VEVENT
UID:9a017c22-6083-43c2-9a70-678611129a1d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230329T205615Z
DESCRIPTION:Speaker: Ryan Bushling\, Jacob Ogden\, Ignacio Tejeda\, Raghav
Tripathi\, Sean Richardson\, Garrett Mulcahy\, Linhang Huang\, Emily Casey
\n\nGraduate students in analysis will each present a 5 minute overview of
their research.
DTSTART;TZID=America/Los_Angeles:20230330T123000
DTEND;TZID=America/Los_Angeles:20230330T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:117
SUMMARY:: Lightning Talks in Analysis
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-30/lightning-talks-analysis
END:VEVENT
BEGIN:VEVENT
UID:61bd52ac-d3b0-46ac-8b76-98125a8eaf0e
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20230227T213923Z
DESCRIPTION:Speaker: Andrei Okounkov\, Columbia University\n\nResidue calcu
lus is\, of course\, a very powerful way to evaluate many different kinds
of integrals. For multivariate integrals\, however\, it may get really cum
bersome\, to the point that one sometimes gets stuck in purely combinatori
al complexity. I will discuss some ideas that have recently been used with
some success to circumvent such problems. Of course\, they are much more
specialized than residue calculus and apply in only very special situation
s. Still\, these situations are not without interest in concrete applicati
ons\, including solutions of q-difference equations and some questions in
analysis of automorphic forms.
DTSTART;TZID=America/Los_Angeles:20230331T153000
LAST-MODIFIED:20230227T213923Z
LOCATION:ECE 125
SEQUENCE:118
SUMMARY:: Take a residue\, leave a residue
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-03-31/take-residue-leave-residu
e
END:VEVENT
BEGIN:VEVENT
UID:eb77878e-117f-4f88-86d8-f4286601d61b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230329T010944Z
DESCRIPTION:Speaker: Jacopo Borga (Standord University)\n\nWhat is the beh
avior of the longest increasing subsequence of a uniformly random permutat
ion? Its length is of order 2n^{1/2} plus Tracy--Widom fluctuations of ord
er n^{1/6}. Its scaling limit is the directed geodesic of the directed lan
dscape. \n\nThis talk discusses how this behavior changes dramatically whe
n one looks at universal Brownian-type permutations\, i.e.\, permutations
sampled from the Brownian separable permutons. We show that there are expl
icit constants 1/2 < \alpha< \beta < 1 such that the length of the longest
increasing subsequence in a random permutation of size n sampled from the
Brownian separable permutons is between n^{\alpha - o(1)} and n^{\beta +
o(1)} with high probability. We present numerical simulations which sugges
t that the lower bound is close to optimal. Our proofs are based on the an
alysis of a fragmentation process embedded in a Brownian excursion introdu
ced by Bertoin (2002). \n\n\n\nIf time permits\, we conclude by discussing
some conjectures for permutations sampled from the skew Brownian permuton
s\, a model of universal permutons generalizing the Brownian separable per
mutons: here\, the longest increasing subsequences should be closely relat
ed with some models of random directed metrics on planar maps. \n\n\n\nBas
ed on joint work with William Da Silva and Ewain Gwynne.
DTSTART;TZID=America/Los_Angeles:20230403T143000
DTEND;TZID=America/Los_Angeles:20230403T153000
LAST-MODIFIED:20230329T200413Z
LOCATION:ECE 026
SEQUENCE:119
SUMMARY:: LONG INCREASING SUBSEQUENCES IN UNIVERSAL BROWNIAN-TYPE PERMUTATI
ONS
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-03/long-increasing-subsequen
ces-universal-brownian-type-permutations
END:VEVENT
BEGIN:VEVENT
UID:319b0f19-32ec-479a-8fbe-3fee9f29ab4e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230330T175504Z
DESCRIPTION:Speaker: Kenneth Chiu\, Rice University\n\nAbstract:\nWe will g
ive a survey on what is currently known and what is conjectured for each o
f finiteness\, non-density\, and sparsity of integral points of moduli spa
ces. We will also explain how hyperbolicity and Hodge theory are relevant
to the study.
DTSTART;TZID=America/Los_Angeles:20230404T110000
DTEND;TZID=America/Los_Angeles:20230404T120000
LAST-MODIFIED:20230331T195359Z
LOCATION:PDL C-401
SEQUENCE:120
SUMMARY:: Recent development in the study of integral points of moduli spac
es
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-04/recent-development-study-
integral-points-moduli-spaces
END:VEVENT
BEGIN:VEVENT
UID:10c3c37f-01cb-454f-9093-6962dcdcf9e3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230331T155140Z
DESCRIPTION:Speaker: Sarah Frei (Dartmouth College)\n\n\nTitle pre talk: Ar
ithmetic and derived categoriesAbstract talk: The derived category of cohe
rent sheaves has proven to be a useful tool for studying the geometry of a
lgebraic varieties. In this talk\, I will discuss various ways in which th
e derived category does and doesn't capture the arithmetic of algebraic va
rieties. I will focus on the existence of rational points and cohomology a
s Galois representations. Along the way\, I'll point out interesting open
questions in this area. \n \nTitle: Arithmetic of Kummer-type fourfolds Ab
stract: Projective hyperkahler varieties are one of the fundamental buildi
ng blocks for compact Kahler varieties with trivial first Chern class. In
many ways they can be thought of as higher-dimensional generalizations of
K3 surfaces\, and consequently we expect them to exhibit interesting arith
metic properties. In this talk\, I will discuss generalized Kummer fourfol
ds\, hyperkahler varieties which arise as moduli spaces of sheaves on an a
belian surface. In joint work with Katrina Honigs\, we characterize the Ga
lois action on the even cohomology\, which has natural consequences for de
rived equivalences between Kummer fourfolds.
DTSTART;TZID=America/Los_Angeles:20230404T134500
LAST-MODIFIED:20230401T055037Z
LOCATION:PDL C-38
SEQUENCE:121
SUMMARY:: Arithmetic of Kummer-type fourfolds
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-04/arithmetic-kummer-type-fo
urfolds
END:VEVENT
BEGIN:VEVENT
UID:71a2691a-43af-422f-a78f-77435937577d
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213448Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\nCo
mmittee Reports\n\nGraduate Program - Lieblich\nAppointments - Viray\n\n\n
New Business\nExecutive Session\nAdjournment\n\nMINUTES\nThe regular meeti
ng of the faculty of the Department of Mathematics was held virtually via
Zoom at 3:30pm PST\, April 4\, 2023. John Palmieri\, Chair\, presided at t
he meeting. Rose Choi was recording secretary. \nThe meeting began with ap
proval of the previous meeting’s minutes.\nChair's Remarks\nWe are still e
valuating our staffing needs to figure out what type of position we’ll pur
sue to fill Alice’s former role. In the meantime\, we have employed a temp
orary student worker to handle the front desk of the Advising office.\nIf
you have not already done so\, please turn in your annual faculty updates
as the committee is preparing to review the files any day now.\n\nCommitte
e Reports\nThe Graduate Program Committee (Lieblich\, Athreya (A)\, Novik
(AW)\, Pevtsova (WS)\, R Liu\, Wilson\, Zhu\; Helms\, K Liu) invites discu
ssion about the following potential changes to exams\, courses\, and advis
ing:\n\nEliminate prelims as of Autumn 2023. Core course instructors will
generate reports on the students instead.\nMove general exams earlier in t
he program (expected by their third year) and structure it as an area exam
rather than a research presentation. This will be accompanied by reports
from various faculty who have worked with the student in an advisory capa
city.\nRevise core course structure and requirements to a fully modular co
re or partial modularity. Alternatively\, we can leave it “as is.”\nIncrea
se student/faculty advising contact by expecting full or partial committe
es to be assembled by year three.\n\nA detailed email will be sent out to
the department with a form to supply feedback. Feedback is requested by Ma
y 1st with a discussion to follow at the May faculty meeting. The final pr
oposal will incorporate this feedback and be presented at the June faculty
meeting.\nThe Appointments Committee (Viray\, Athreya (A)\, Drusvyatskiy\
, Pevtsova (WS)\, Rohde (WS)\, Rothvoss\, Shokrieh) drew up nine axes for
assessing candidates:\n\nGroup 1: Publication quality\, Community recognit
ion of research\, Research mentorship & leadership\nGroup 2: Research inde
pendence or innovation\nGroup 3: Breadth of research interests\, Alignment
with the hiring plan\nGroup 4: Collegiality/Service\, Diversity\, Classro
om teaching\n\nIn the first round (Group 1)\, every faculty member can adv
ance candidates to round 0. Candidates who are not a fit for the mathemati
cs department will be excluded. Other candidates will be advanced based on
a review of CV and textbox responses. Initial assessment will be made wit
hout regards to letters of recommendation (unless under constrained situat
ions).\nADJOURNMENT\nThere being no new business\, the meeting passed into
executive session at 4:22pm.
DTSTART;TZID=America/Los_Angeles:20230404T153000
LAST-MODIFIED:20230428T202510Z
LOCATION:Zoom
SEQUENCE:122
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-04/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:58c9b06f-c16d-4a58-bb1f-036917ea04e9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230331T183859Z
DESCRIPTION:Speaker: Jonathan J. Zhu\n\nFor closed curves evolving by their
curvature\, the theorem of Gage-Hamilton and Grayson establishes that an
embedded curve contracts to a round point. An efficient proof was later fo
und by Huisken\, with improvements by Andrews-Bryan\, which uses multi-poi
nt maximum principle techniques. We’ll discuss the use of these techniques
in other settings\, particularly for the long-time behaviour of curve sho
rtening flow with free boundary.
DTSTART;TZID=America/Los_Angeles:20230405T160000
DTEND;TZID=America/Los_Angeles:20230405T170000
LAST-MODIFIED:20230331T183859Z
LOCATION:PDL C-38
SEQUENCE:123
SUMMARY:: Distance comparison principles for curve shortening flows
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-05/distance-comparison-princ
iples-curve-shortening-flows
END:VEVENT
BEGIN:VEVENT
UID:cba8ba44-5811-40c2-95da-66f9048f071c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230403T204037Z
DESCRIPTION:Speaker: Ryan Bushling\, University of Washington\n\nWe prove t
hat the integral of a certain Riesz-type kernel over \$(n − 1)\$-rectifiab
le sets in \$\mathbb{R}^n\$ is constant\, from which a formula for surface
measure immediately follows. Geometric interpretations are given\, and a
recent inequality of Steinerberger characterizing convex domains follows a
s a corollary.
DTSTART;TZID=America/Los_Angeles:20230406T123000
DTEND;TZID=America/Los_Angeles:20230406T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:124
SUMMARY:: A Singular Integral Identity for Surface Measure
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-06/singular-integral-identit
y-surface-measure
END:VEVENT
BEGIN:VEVENT
UID:ab0306f1-b687-4dbd-b6b1-8447456ee461
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221128T215412Z
DESCRIPTION:Speaker: Roya Beheshti Zavareh\, Washington University in St. L
ouis\n\nThere are several notions that are used to characterize algebraic
varieties in terms of their similarity to a projective space. Two of these
notions are rationality and unirationality. The problem of determining wh
ether a variety is rational or unirational is in general very hard and uni
rationality in particular is poorly understood. In this talk\, I will star
t by reviewing basic properties of rational/unirational varieties and rece
nt progress in the study of these notions. I will then focus on the case o
f hypersurfaces and will discuss recent joint work with Eric Riedl on unir
ationality of hypersurfaces of low degree and evidence for non-unirational
ity of Fano hypersurfaces of large degree.
DTSTART;TZID=America/Los_Angeles:20230407T153000
LAST-MODIFIED:20230316T195551Z
LOCATION:ECE 125
SEQUENCE:125
SUMMARY:: On Unirationality of hypersurfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-07/unirationality-hypersurfa
ces
END:VEVENT
BEGIN:VEVENT
UID:e5ed844d-8330-4684-aa4b-a33af3c40c2a
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions\, Student Activities
CLASS:PUBLIC
CREATED:20230215T215720Z
DESCRIPTION:Speaker: Math & ACMS Advisers\n\nCongratulations to those recen
tly admitted as Freshmen to the University of Washington!\nJoin the Math &
ACMS advisers on zoom to learn more about the major\, application process
and more. We'll do a brief presentation with opportunity to ask question
s. \nApril 10\, 2023 10:00am - 11:00am pacific time\nApril 17\, 2023 4:30p
m - 5:30pm pacific time\nApril 21\, 2023 11:30am - 12:30pm pacific time\nC
an't join us? \nVisit Math: https://math.washington.edu/admitted-student-
preview-mathematics\nVisit ACMS: https://math.washington.edu/admitted-stud
ent-preview-mathematics
DTSTART;TZID=America/Los_Angeles:20230410T100000
LAST-MODIFIED:20230215T215720Z
LOCATION:Zoom: https://washington.zoom.us/j/92161229053
SEQUENCE:126
SUMMARY:: Math & ACMS Prospective Student Information Session
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-10/math-acms-prospective-stu
dent-information-session
END:VEVENT
BEGIN:VEVENT
UID:1fb2a5bb-94ba-4654-81f8-49baf01e517d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230329T200604Z
DESCRIPTION:Speaker: Stefan Steinerberger (University of Washington)\n\nCro
fton's formula (1867)\, also known as the Cauchy-Crofton formula\, is a be
autiful elementary result showing that the length of a curve in IR^2 can b
e measured by checking how many times a `random' line intersects it. One
can think of it as a generalization of Buffon's needle problem and it is t
he origin of the field of Integral Geometry. We will discuss and prove Cr
ofton's formula and show how it can be used to give short and simple proof
s of some nice geometric statements. After that\, we will discuss some mor
e recent ideas concerning `bilinear' variants\, discuss a new property of
convex sets and and introduce the problem of finding sets that `see themse
lves as little as possible' or\, probabilistically\, sets that minimize th
e variance of an intersection with a random line.
DTSTART;TZID=America/Los_Angeles:20230410T143000
DTEND;TZID=America/Los_Angeles:20230410T153000
LAST-MODIFIED:20230329T200604Z
LOCATION:ECE 026
SEQUENCE:127
SUMMARY:: Crofton's formula and Invisible Sets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-10/croftons-formula-and-invi
sible-sets
END:VEVENT
BEGIN:VEVENT
UID:603eb999-53a3-45bf-9cc6-b91fd273e30b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230406T225529Z
DESCRIPTION:Speaker: Junaid Hassan (University of Washington)\n\nWe review
the classical matrix-tree theorem\, and then discuss a generalization in t
he case of double covers: known as the Prym case. This talk is based on Y.
Len\, D. Zakharov [arxiv:2012.15235] and a recent continuing work by A. G
hosh\, D. Zakharov [arxiv:2303.03904].
DTSTART;TZID=America/Los_Angeles:20230410T150000
DTEND;TZID=America/Los_Angeles:20230410T160000
LAST-MODIFIED:20240822T184151Z
LOCATION:Padelford Hall (PDL) C-401
SEQUENCE:128
SUMMARY:: Combinatorial Algebraic Geometry: Matrix-tree theorem: The Prym C
ase
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-10/combinatorial-algebraic-g
eometry-matrix-tree-theorem-prym-case
END:VEVENT
BEGIN:VEVENT
UID:69a81eef-bf5a-497f-a57f-12b553590d70
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230329T220741Z
DESCRIPTION:Speaker: Nelson Niu\, University of Washington\n\nIn math\, eve
ry statement is either true or false\; an element is either in a set or ou
t of it. But real life is not so simple: the statement “it is raining” is
only ever true on a subset of the 2-sphere on which we live\, and I am in
Padelford only at certain times of the day on certain days of the week. Ca
n all this be formalized mathematically? It turns out that by leaving the
world of sets behind\, we’ll enter an alternate world at once strange and
familiar\, in which there are many more truth values possible than simply
“true” and “false”—as many\, in fact\, as there are open sets in a given t
opology. Each such world is a special category called a topos\, in which s
ets are replaced by sheaves. No prior knowledge of category theory\, sheav
es\, or toposes necessary: we’ll build everything up from sets and functio
ns.\nZoom Link: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230410T160000
DTEND;TZID=America/Los_Angeles:20230410T165000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:129
SUMMARY:: 1-2-3 Seminar: Sheaves and Toposes in Logic\, or “What’s Bigger T
han 2? A Topological Space”
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-10/1-2-3-seminar-sheaves-and
-toposes-logic-or-whats-bigger-2-topological-space
END:VEVENT
BEGIN:VEVENT
UID:7924888e-101f-4d51-a397-9ab4a616a8e5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230403T215350Z
DESCRIPTION:Speaker: Stephanie Chan\, SLMath (MSRI)\n\nAbstract:\nTaking a
family of elliptic curves and imposing some ordering\, we may ask how ofte
n a curve has an integral point and how many integral points there are on
average. We expect that elliptic curves with any nontrivial integral point
s are generally very sparse. In certain quadratic and cubic twist families
\, it is possible to show that almost all curves contain no nontrivial int
egral points. The proof uses the parameterisation of integral points by in
tegral binary forms and the distribution of Selmer groups.
DTSTART;TZID=America/Los_Angeles:20230411T110000
DTEND;TZID=America/Los_Angeles:20230411T120000
LAST-MODIFIED:20230407T223118Z
LOCATION:PDL C-38
SEQUENCE:130
SUMMARY:: Integral points in families of elliptic curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-11/integral-points-families-
elliptic-curves
END:VEVENT
BEGIN:VEVENT
UID:8c4b33c2-123f-44cb-9e12-72fd504a3ee7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230110T002353Z
DESCRIPTION:Speaker: Ryan Matzke\, Vanderbilt University\n\nA great deal of
study has been devoted to energies involving two-particle interactions. S
uch systems have applications in discrete geometry\, signal processing\, a
nd modeling various natural phenomena (e.g.\, electrostatic or gravitation
al energy)\, among other uses. Energies involving many-particle interactio
ns are far less understood\, which have been appearing recently to improve
upon previous results in discrete geometry (such as bounds for optimal co
des and kissing numbers) which made use of two-particle interactions. In t
his talk\, we will discuss recent work in developing general theory for en
ergy optimization on the sphere for multivariate potentials (i.e. ones tha
t model many-particle interactions)\, some connections and applications\,
and a variety of open problems. In particular\, we will discuss geometric
kernels\, such powers of the volume of a simplex generated by k points (a
multivariate generalization of Riesz kernels). The work in this talk cover
s work done in collaboration with Dmitriy Bilyk (University of Minnesota)\
, Damir Ferizovic (KU Leuven)\, Alexey Glazyrin (University of Texas Rio G
rande Valley)\, Josiah Park (Texas A&M University)\, and Oleksandr Vlasiuk
(Vanderbilt University).
DTSTART;TZID=America/Los_Angeles:20230411T133000
DTEND;TZID=America/Los_Angeles:20230411T153000
LAST-MODIFIED:20230331T172433Z
LOCATION:PDL C-401
SEQUENCE:131
SUMMARY:: Energy Optimization for k-particle Interactions on the Sphere
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-11/energy-optimization-k-par
ticle-interactions-sphere
END:VEVENT
BEGIN:VEVENT
UID:2c3b86b0-9f21-438f-9bf6-669431cdf117
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230409T084256Z
DESCRIPTION:Speaker: Tuomas Tajakka (Stockholm)\n\nTitle: Projective moduli
spaces of principal bundles of reductive groupsAbstract: In his PhD thesi
s in 1976\, Ramanathan defined a notion of stability for principal G-bundl
es for a connected\, reductive structure group G\, and constructed a proje
ctive moduli space of semistable G-bundles over a smooth\, projective curv
e using geometric invariant theory. We will explain how to use modern stac
k-theoretic techniques to extend this result to the case when G is possibl
y disconnected\, a result that does not seem to appear in the literature.
Joint work with Stefan Reppen.
DTSTART;TZID=America/Los_Angeles:20230411T133500
LAST-MODIFIED:20230409T084256Z
LOCATION:PDL C-38
SEQUENCE:132
SUMMARY:: Projective moduli spaces of principal bundles of reductive groups
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-11/projective-moduli-spaces-
principal-bundles-reductive-groups
END:VEVENT
BEGIN:VEVENT
UID:173b228a-4179-4739-bd8c-12d5f9ccd0f0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230409T084456Z
DESCRIPTION:Speaker: Siddharth Mathur (Universidad Católica de Chile)\n\nTi
tle: The infinitesimal behavior of line bundles and gerbesAbstract: Deform
ation theory is the study of how geometric data varies between the total s
pace of a family of varieties and a given special fiber. In this talk\, we
will introduce new deformation-theoretic methods to analyze how the Braue
r group of a family compares with that of the various thickenings of a spe
cial fiber\, a question posed by Grothendieck in the early 1960s. We will
begin by probing a seemingly simpler question concerning the infinitesimal
behavior of the Picard group and end by using this to answer to Grothendi
eck's question. This is joint work with Andrew Kresch.
DTSTART;TZID=America/Los_Angeles:20230411T143000
LAST-MODIFIED:20230409T175144Z
LOCATION:PDL C-38
SEQUENCE:133
SUMMARY:: The infinitesimal behavior of line bundles and gerbes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-11/infinitesimal-behavior-li
ne-bundles-and-gerbes
END:VEVENT
BEGIN:VEVENT
UID:4979a89e-36ae-4a89-8c6e-cb07d1f2a089
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230403T182534Z
DESCRIPTION:Speaker: Jeremiah Heller\, UIUC\n\nA key feature in the theory
of \(E_\infty\) ring spectra in algebraic topology is that their homology
and homotopy admit a theory of power operations. It is straightforward to
introduce the direct analog of \(E_\infty\) ring spectra in motivic homoto
py theory\, but the power operations arising from this structure are not a
s useful. There is a subtler theory of normed motivic spectra\, introduce
d by Bachmann-Hoyois. In recent preprints\, joint with Tom Bachmann and El
den Elmanto\, we develop a theory of power operations on normed algebras o
ver the mod-2 motivic cohomology spectrum. I'll discuss this construction
and some applications of the resulting theory.\nThere will be a pre-talk a
imed at graduate students 2:30-3:15pm in THO 234.
DTSTART;TZID=America/Los_Angeles:20230411T153000
DTEND;TZID=America/Los_Angeles:20230411T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:134
SUMMARY:: Power Operations and Normed Spectra
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-11/power-operations-and-norm
ed-spectra
END:VEVENT
BEGIN:VEVENT
UID:bd5fa9d3-a716-4799-89e3-5454f38d5340
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230401T231509Z
DESCRIPTION:Speaker: Alex Black\, University of California Davis\n\nAbstrac
t:\nPolytopes are ubiquitous in optimization\, since many optimization pro
blems may be formulated as finding the furthest point in some direction on
a polytope. Such a problem is called a linear program\, and one of the mo
st famous ways to solve a linear program is to use the simplex method. Geo
metrically\, solving a linear program with the simplex method corresponds
to following a path on the graph of a polytope (i.e.\, its set of vertices
and edges). A key challenge in studying the simplex method is that there
are many possible ways to choose a path called pivot rules\, and it is a f
undamental open problem to prove whether there exists a pivot rule for the
simplex method that guarantees a polynomial run-time. Motivated by this p
roblem\, in this talk I will introduce a taxonomy of pivot rules and show
how this taxonomy gives rise to a polyhedral construction called the pivot
rule polytope. Then I will discuss how polytopes in algebraic combinatori
cs such as permutohedra\, associahedra\, and multiplihedra arise as pivot
rule polytopes. This talk is based on joint work with Jesús De Loera\, Nik
las Lutjeharms\, and Raman Sanyal.\nNote: This talk begins with a pre-semi
nar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:1
0.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID:
915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230412T153000
DTEND;TZID=America/Los_Angeles:20230412T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:135
SUMMARY:: The Polyhedral Combinatorics of Pivot Rules
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-12/polyhedral-combinatorics-
pivot-rules
END:VEVENT
BEGIN:VEVENT
UID:4a2f3b1f-af4b-45cc-9cfd-9cf65162efd0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230411T012355Z
DESCRIPTION:Speaker: Kevin Tully\, University of Washington\n\nThe boundary
rigidity problem\, originating in geophysics in the early 20th century\,
asks if a compact Riemannian manifold with boundary is determined by knowi
ng the distance between each pair of boundary points. In this talk\, we wi
ll present a result of Pestov and Uhlmann which shows that this is true fo
r so-called 'simple' surfaces and illustrate why the simplicity assumption
is important in the proof.
DTSTART;TZID=America/Los_Angeles:20230413T123000
DTEND;TZID=America/Los_Angeles:20230413T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:136
SUMMARY:: Simple Surfaces are Boundary Rigid
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-13/simple-surfaces-are-bound
ary-rigid
END:VEVENT
BEGIN:VEVENT
UID:46534a40-7a7b-4430-a6cb-ea6d4cc5245a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230413T155823Z
DESCRIPTION:Speaker: Kelvin Rivera-Lopez (Gonzawa University)\n\nAn up-down
chain is a Markov chain in which each transition can be decomposed into a
growth step followed by a reduction step. Generally\, these two steps are
unrelated\, but when they satisfy a natural commutation relation\, the up
-down chain is particularly amenable to analysis. For example\, one can de
scribe the spectrum of the transition matrix and often analyze convergence
rates. \n \nIn the first part of this talk\, we will discuss some new res
ults concerning these special up-down chains. Topics include eigenvectors
and diffusive limits. Afterwards\, we will discuss a new family of permuto
ns and its associated up-down chain on permutations. \n \nBased on joint w
ork with Valentin Féray.
DTSTART;TZID=America/Los_Angeles:20230417T143000
DTEND;TZID=America/Los_Angeles:20230417T153000
LAST-MODIFIED:20230413T155823Z
LOCATION:ECE 026
SEQUENCE:137
SUMMARY:: Up-down chains\, diffusive limits\, and permutons
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-17/down-chains-diffusive-lim
its-and-permutons
END:VEVENT
BEGIN:VEVENT
UID:ce1db8fe-4856-4419-bc96-4a768b5528a1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230417T203740Z
DESCRIPTION:Speaker: Lauren Nowak (University of Washington)\n\nThe establi
shment of the log-concavity of characteristic polynomials of matroids was
a result that took decades to confirm and connected ideas from combinatori
cs\, algebra\, and algebraic geometry. In this talk\, we will be explorin
g how this result can be achieved from the perspective of volume theory an
d polyhedral geometry. In particular\, we will explore the conditions und
er which the mixed volumes of a normal complex - an orthogonal truncation
of a polyhedral fan - satisfy the Alexandrov-Fenchel inequalities. By then
specializing to Bergman fans of matroids\, we give a new proof of the log
-concavity of characteristic polynomials of matroids.
DTSTART;TZID=America/Los_Angeles:20230417T150000
DTEND;TZID=America/Los_Angeles:20230417T160000
LAST-MODIFIED:20240822T184151Z
LOCATION:Padelford Hall (PDL) C-401
SEQUENCE:138
SUMMARY:: Combinatorial Algebraic Geometry: Mixed Volumes of Normal Complex
es
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-17/combinatorial-algebraic-g
eometry-mixed-volumes-normal-complexes
END:VEVENT
BEGIN:VEVENT
UID:547fbc31-c284-400b-bd0f-ad78e68c4bf5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230413T052304Z
DESCRIPTION:Speaker: Brian Nugent\, University of Washington\n\nMorphisms b
etween varieties can seem pretty mysterious at first. Luckily\, linear sys
tems give a useful and wonderfully geometric way of looking at morphisms i
nto projective space. In this talk\, we will discuss linear systems on P^n
and see how they lead us to other interesting geometric phenomena such as
blowing up and a curve that intersects itself -1 times.\nZoom Link: https
://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230417T160000
DTEND;TZID=America/Los_Angeles:20230417T165000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:139
SUMMARY:: 1-2-3 Seminar: Linear Systems on P^n and a (-1)-curve
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-17/1-2-3-seminar-linear-syst
ems-pn-and-1-curve
END:VEVENT
BEGIN:VEVENT
UID:79926292-3438-40c7-9ecf-6377e79ddee0
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions\, Student Activities
CLASS:PUBLIC
CREATED:20230215T215803Z
DESCRIPTION:Speaker: Math & ACMS Advisers\n\nCongratulations to those recen
tly admitted as Freshmen to the University of Washington!\nJoin the Math &
ACMS advisers on zoom to learn more about the major\, application process
and more. We'll do a brief presentation with opportunity to ask question
s. \nApril 10\, 2023 10:00am - 11:00am pacific time\nApril 17\, 2023 4:30p
m - 5:30pm pacific time\nApril 21\, 2023 11:30am - 12:30pm pacific time\nC
an't join us? \nVisit Math: https://math.washington.edu/admitted-student-p
review-mathematics\nVisit ACMS: https://math.washington.edu/admitted-stude
nt-preview-mathematics
DTSTART;TZID=America/Los_Angeles:20230417T163000
LAST-MODIFIED:20230215T215803Z
LOCATION:Zoom: https://washington.zoom.us/j/92161229053
SEQUENCE:140
SUMMARY:: Math & ACMS Prospective Student Information Session
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-17/math-acms-prospective-stu
dent-information-session
END:VEVENT
BEGIN:VEVENT
UID:5663bf64-e591-4617-93de-f70f56a1ae65
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230411T165733Z
DESCRIPTION:Speaker: Yuzhou (Joey) Zou\, Northwestern University\n\nWe disc
uss recent results regarding $C^\infty$ -isomorphism properties of weighte
d normal operators of the X-ray transform on manifolds with boundary\, in
joint work with Francois Monard and Rohit Kumar Mishra. The crux of the re
sult depends on understanding the Singular Value Decomposition of weighted
X-ray transforms/backprojection operators\, which itself can be obtained
via intertwining with certain degenerately elliptic differential operators
. We also discuss recent work with Francois Monard on developing tools to
study such degenerately elliptic operators even further. Such tools includ
e a scale of Sobolev spaces which take into account behavior up to the bou
ndary\, as well as generalizations of Dirichlet and Neumann traces called
boundary triplets associated to degenerately elliptic operators which pick
out the first and second most singular terms of a function near the bound
ary.
DTSTART;TZID=America/Los_Angeles:20230418T103000
DTEND;TZID=America/Los_Angeles:20230418T112000
LAST-MODIFIED:20230411T200653Z
LOCATION:SMI 307
SEQUENCE:141
SUMMARY:: X-ray mapping properties and degenerately elliptic operators
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-18/x-ray-mapping-properties-
and-degenerately-elliptic-operators
END:VEVENT
BEGIN:VEVENT
UID:1e3b470b-3ade-42a6-a5bf-e1c28bb15ce7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230209T015228Z
DESCRIPTION:Speaker: Daniel Eceizabarrena\, University of Massachusetts Amh
erst\n\nThe convergence problem for the Schr\”odinger equation\, one of th
e most famous problems in Harmonic Analysis\, asks for the smallest Sobole
v regularity $s$ such that $\lim_{t \to 0} e^{it\Delta}f(x) = f(x)$ for al
most every $x$ and for all $f \in H^s$. Recent works have shown that the o
ptimal regularity is $s =n/(2(n+1))$. However\, there are several relevant
cases in which the problem is still open\, such as the periodic equation\
, the equation with other symbols like the fractional laplacian $\Delta^\s
igma$\, and the fractal convergence $\mathcal H^\alpha$-almost everywhere\
, where $\mathcal H^\alpha$ are Hausdorff measures. \nIn this talk I will
discuss how to exploit Bourgain’s optimal counterexample to improve the re
sults for these unsolved problems\, using for that the Mass Transference P
rinciple\, a technique from Diophantine approximation related to the Duffi
n-Schaeffer conjecture. I will devote the first part of the talk to introd
uce the problem\, the classical results and the main techniques used\, as
well as to dissect Bourgain’s counterexample for the classical problem.
\nThis is based on a collaboration with Felipe Ponce-Vanegas (BCAM\, Spain
).
DTSTART;TZID=America/Los_Angeles:20230418T133000
DTEND;TZID=America/Los_Angeles:20230418T153000
LAST-MODIFIED:20230412T173744Z
LOCATION:PDL C-401
SEQUENCE:142
SUMMARY:: The Schr\”odinger convergence problem and the Mass Transference P
rinciple
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-18/schrodinger-convergence-p
roblem-and-mass-transference-principle
END:VEVENT
BEGIN:VEVENT
UID:e9a3f7ef-8a65-41fc-a273-cf6ac1b223e2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230415T075025Z
DESCRIPTION:Speaker: Yifeng Huang (UBC)\n\n\n\nTitle pre-talk: Hilbert sche
mes of points on singular curves\nAbstract pre-talk: I will recall the def
inition and basic properties of Hilbert schemes of points on a variety\, a
nd introduce some beautiful theorems and conjectures about Hilbert schemes
of points on singular curves in the last decade. Through concrete example
s\, I will explain how Gröbner basis theory and Serre duality can be appli
ed here. \n\n\nTitle main talk: Punctual Quot scheme on cusp via Gröbner s
tratification\nAbstract main talk: (Joint with Ruofan Jiang) We prove a ra
tionality result for a zeta function for the Quot scheme of points on the
cusp singularity x^2=y^3\, extending a phenomenon that is known for the Hi
lbert scheme of points on singular curves. The Quot scheme in question par
ametrizes quotient sheaves of O_X^d of length n supported at p\, where p i
s a cusp singularity on a curve X\; the Hilbert scheme is the special case
d=1. Our method is based on a stratification given by Gröbner bases for p
ower series ring (a.k.a. standard bases). The essential combinatorial ingr
edient behind the rationality is a family of “spiral shifting” operators t
hat act on the index set of the strata\, which group the (infinitely many)
strata into finitely many ``orbits’’. Our method permits explicit computa
tions for low d\, which suggest several geometric conjectures that potenti
ally hold for other curve singularities.
DTSTART;TZID=America/Los_Angeles:20230418T134500
LAST-MODIFIED:20230415T075025Z
LOCATION:PDL C-38
SEQUENCE:143
SUMMARY:: Punctual Quot scheme on cusp via Gröbner stratification
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-18/punctual-quot-scheme-cusp
-grobner-stratification
END:VEVENT
BEGIN:VEVENT
UID:30a9ae26-27a0-4b3b-a10d-5ca0eadfca97
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230402T210630Z
DESCRIPTION:Speaker: Joshua Swanson\, University of Southern California\n\n
Abstract:\nIn 1995\, Kuperberg introduced a remarkable collection of triva
lent web bases which encode tensor invariants of \(SL_3\). Extending these
bases to general \(SL_r\) has been an open problem ever since. We present
a solution to the \(r=4\) case by introducing a new generalization of Pos
tnikov's plabic graphs. Joint work with Christian Gaetz\, Oliver Pechenik\
, Stephan Pfannerer\, and Jessica Striker.\nNote: This talk begins with a
pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk start
s at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Mee
ting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230419T153000
DTEND;TZID=America/Los_Angeles:20230419T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:144
SUMMARY:: SL_4 web bases from hourglass plabic graphs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-19/sl4-web-bases-hourglass-p
labic-graphs
END:VEVENT
BEGIN:VEVENT
UID:dcfc6ce1-76c7-43c2-abc1-47974437ae1e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230416T205958Z
DESCRIPTION:Speaker: Raghav Tripathi\, University of Washington\n\nFree pro
bability is a non-commutative analogue of probability theory. In this talk
we will give a gentle introduction to free probability and motivate its a
pplications in random matrices. There will be lots of free things during t
he talks: free independence\, free convolution\, a kind of free Fourier tr
ansform and so on. Time permitting\, we will illustrate the proof of semic
ircle law using techniques from free probability.
DTSTART;TZID=America/Los_Angeles:20230420T123000
DTEND;TZID=America/Los_Angeles:20230420T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:145
SUMMARY:: Introduction to Free Probability
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-20/introduction-free-probabi
lity
END:VEVENT
BEGIN:VEVENT
UID:fa26155e-3921-43b7-8117-47014fd1a274
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions
CLASS:PUBLIC
CREATED:20230405T214534Z
DESCRIPTION:Speaker: Pete Littig\, Anusha Sekar\, Jair Taylor\, and Catheri
ne Williams\n\nIn the most recent AMS Survey of New Doctorate Recipients\,
33 percent accept positions in government\, business and industry. What
are these jobs like? How do you find them? And\, are they interesting jo
bs? To provide insight into these questions\, we will hold our annual Ind
ustrial Panel Discussion featuring four UW alums from the PhD program. Th
e speakers will be Pete Littig\, Anusha Sekar\, Jair Taylor\, and Catherin
e Williams. All are invited to attend!\n\nAnusha Sekar is originally from
Chennai\, India. She received her Ph.D. in Mathematics at the University
of Washington\, Seattle. Her research interests at the UW included numeric
al analysis\, numerical methods for wave propagation and geophysical inver
se problems. She joined Chevron in 2009 and has been working on various p
roblems related to seismic imaging and full waveform inversion (FWI). She
currently took a year-long sabbatical to go back to school and earned a Ma
sters in Computer Science degree from Rice University\, and now works on m
achine learning solutions for seismic interpretation and imaging. She has
served on the board of the SIAM Texas Louisiana section\, working towards
promoting collaboration between mathematicians in industry and academia i
n the Texas-Louisiana region. She is currently in the SIAM membership comm
ittee. She is married with two daughters\, loves reading and going on roa
d trips with her family.Peter Littig is a Senior Software Engineer at Rena
issance Learning in Bothell. Pete was a student of Steve Mitchell's in Al
gebraic Topology\, graduating with his PhD from UW in 2005. He was a prof
essor at UW Bothell for 8 years before moving into software development.
He also co-hosts a fun podcast called 'The Math Club' which is 'full of in
formation that will interest and entertain math lovers as well as those wh
o maybe don’t love it quite that much… yet.'Jair Taylor finished his PhD f
rom UW in 2016 studying algebraic combinatorics. He is now a data scientis
t at Meta working on their storage systems. Some of the projects he's work
ed on include choosing optimal data placement and encoding schemes to prot
ect data during hardware failures while minimizing the cost.Catherine Will
iams: As the VP of Data and Research at Qualtrics\, an experience managem
ent software platform\, Dr. Catherine Williams leads the data intelligence
center of excellence\, which includes the machine learning and data scien
ce teams that build advanced intelligent features into the Qualtrics exper
ience management products and platform\, leveraging cutting edge text anal
ytics\, predictive intelligence\, and statistical analysis to help custome
rs better understand and act on their data in real time. Catherine has ext
ensive background and expertise in data science and beyond\; prior to her
work at Qualtrics\, Catherine led data science\, analytics\, and product o
rganizations at AppNexus and Xandr as Chief Data Scientist and Chief Data
and Marketplace Officer. She received her BA from Grinnell College and her
PhD in Mathematics at University of Washington and held postdoctoral fell
owships at Stanford and Columbia Universities.\n\nThis talk will be hosted
by Sara Billey\, Kevin Liu and Paige Helms.
DTSTART;TZID=America/Los_Angeles:20230420T160000
DTEND;TZID=America/Los_Angeles:20230420T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38
SEQUENCE:146
SUMMARY:: Industrial Panel 2023
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-20/industrial-panel-2023
END:VEVENT
BEGIN:VEVENT
UID:61bb557d-3b7b-4241-9e9d-1bf363a12ea4
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions\, Student Activities
CLASS:PUBLIC
CREATED:20230215T215821Z
DESCRIPTION:Speaker: Math & ACMS Advisers\n\nCongratulations to those recen
tly admitted as Freshmen to the University of Washington!\nJoin the Math &
ACMS advisers on zoom to learn more about the major\, application process
and more. We'll do a brief presentation with opportunity to ask question
s. \nApril 10\, 2023 10:00am - 11:00am pacific time\nApril 17\, 2023 4:30p
m - 5:30pm pacific time\nApril 21\, 2023 11:30am - 12:30pm pacific time\nC
an't join us? \nVisit Math: https://math.washington.edu/admitted-student-p
review-mathematics\nVisit ACMS: https://math.washington.edu/admitted-stude
nt-preview-mathematics
DTSTART;TZID=America/Los_Angeles:20230421T113000
LAST-MODIFIED:20230215T215821Z
LOCATION:Zoom: https://washington.zoom.us/j/92161229053
SEQUENCE:147
SUMMARY:: Math & ACMS Prospective Student Information Session
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-21/math-acms-prospective-stu
dent-information-session
END:VEVENT
BEGIN:VEVENT
UID:a7ac6ea8-b58c-47a4-8a3e-84b67164b020
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20221128T220122Z
DESCRIPTION:Speaker: Peter J. Lu\, Harvard University\n\nThe conventional v
iew holds that geometric star-and-polygon patterns adorning medieval Islam
ic architecture were designed using a straightedge and a compass\, derived
from ancient Greek mathematical techniques\, which describes accurately a
large number of examples. However\, a wide variety of patterns throughout
the medieval Islamic world with five- and ten-fold symmetric motifs\, wer
e conceived as tessellations of specific decorated polygons\, called girih
tiles\, that appear in architectural scrolls from the 15th century\, that
documented practical architectural techniques and emerged in the context
of dialogs between architects and mathematicians. These girih tiles were u
sed like puzzle pieces to design a large number of geometric tiling patter
ns in architecture\, beginning with 12th-century architectural monuments i
n the Anatolian Seljuk cultural context\, in what is today western Iran an
d eastern Turkey. Interestingly\, perhaps half of the extant Seljuk buildi
ngs with girih-tile tesselations had female sponsors\, patrons or dedicati
ons—hinting at an important contribution from women that has not been prev
iously explored adequately. Subsequently\, these girih-tile tessellations
spread throughout the medieval Islamic world\, from North Africa to the Mi
ddle East and Central Asia\, for half a millennium. Remarkably\, in a few
cases\, these girih-tile tessellations exhibit mathematical principles of
quasicrystallinity\, that we in the West did not understand until the past
few decades in the form of Penrose tilings.
DTSTART;TZID=America/Los_Angeles:20230421T153000
LAST-MODIFIED:20230411T175428Z
LOCATION:ECE 125
SEQUENCE:148
SUMMARY:: Girih Tiles: Modern Math in Medieval Islamic Architecture
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-21/girih-tiles-modern-math-m
edieval-islamic-architecture
END:VEVENT
BEGIN:VEVENT
UID:41f66929-0c3a-4e34-971c-95967dd550d2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230413T160054Z
DESCRIPTION:Speaker: Andrew Warren (University of British Columbia)\n\nI di
scuss some recent work regarding nonlocal diffusion equations with a presc
ribed equilibrium state\, which arise as the gradient flow of the relative
entropy with respect to a version of the nonlocal Wasserstein metric intr
oduced by Erbar. Such equations may also be viewed as the evolutionary Gam
ma-limit of a certain sequence of heat flows on discrete Markov chains. I
will discuss criteria for existence\, uniqueness\, and stability of soluti
ons\, and sufficient criteria on the equilibrium state which ensure fast c
onvergence to equilibrium.
DTSTART;TZID=America/Los_Angeles:20230424T143000
DTEND;TZID=America/Los_Angeles:20230424T153000
LAST-MODIFIED:20230418T225357Z
LOCATION:ECE 026
SEQUENCE:149
SUMMARY:: Gradient flow structure for some nonlocal diffusion equations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-24/gradient-flow-structure-s
ome-nonlocal-diffusion-equations
END:VEVENT
BEGIN:VEVENT
UID:c0cea06c-6965-48ae-a6fe-db39421cb080
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230421T191038Z
DESCRIPTION:Speaker: Tony Zeng\, University of Washington\n\nDesmos is a po
pular online graphing calculator commonly used in educational settings. It
has many features that your household TI-84 would have\, including most c
ommon calculator functions and the ability to plot graphs of functions. Mo
reover\, it is built to be friendly to direct user interaction and animati
ons. In this talk\, we will explore some of Desmos's lesser-known features
\, including colors\, lists\, and actions\, which give us a great deal mor
e power and allow us to create far more interesting visualizations.\nZoom
Link: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230424T160000
DTEND;TZID=America/Los_Angeles:20230424T165000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:150
SUMMARY:: 1-2-3 Seminar: What is Desmos\, and what can it really do?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-24/1-2-3-seminar-what-desmos
-and-what-can-it-really-do
END:VEVENT
BEGIN:VEVENT
UID:0525b9c8-cc9b-4b5b-b310-12b15f663386
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230420T175946Z
DESCRIPTION:Speaker: Anwesh Ray\, Université de Montréal\n\nAbstract:\nLet
K be a number field and ℓ≥ 5 be a prime number. Mazur and Rubin introduce
d the notion of diophantine stability for a variety X/K at a prime ℓ. Unde
r the hypothesis that all elliptic curves E/ℚ have finite Tate-Shafarevich
group\, we show that there is a positive density set of elliptic curves E
/ℚ of rank 1\, such that E/K is diophantine stable at ℓ. This result has i
mplications to Hilbert's tenth problem for number rings. This is joint wor
k with Tom Weston.
DTSTART;TZID=America/Los_Angeles:20230425T110000
DTEND;TZID=America/Los_Angeles:20230425T120000
LAST-MODIFIED:20230420T175946Z
LOCATION:Virtual
SEQUENCE:151
SUMMARY:: Diophantine stability for elliptic curves on average
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-25/diophantine-stability-ell
iptic-curves-average
END:VEVENT
BEGIN:VEVENT
UID:9c4597a4-fe4a-463d-bec5-c3c9b5f0aed3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230422T054123Z
DESCRIPTION:Speaker: Tim Duff (UW)\n\n\n\nTitle pre-talk: Galois/monodromy
groups\nAbstract pre-talk: I will recall (with definitions and simple exam
ples) the Galois/monodromy group associated with a branched cover of compl
ex algebraic varieties. I will then demonstrate how a computer can be used
to tackle less simple examples\, such as 27 lines on a cubic surface. \n
\n\nTitle main talk: Relative Pose Problems and their Branched Covers\nAb
stract main talk: Methods for reconstructing 3D scenes from images often
assume a pinhole camera model. I will recall one such method that estimat
es the relative orientation of two calibrated cameras from the input data
of five pairs of points in the projective plane. In algebro-geometric term
s\, this method is inverting a branched cover of degree 20 over the space
of input data. A classical construction known as the 'twisted pair' implie
s that the Galois/monodromy group associated with this branched cover acts
imprimitively on the 20 solutions. Based on numerical evidence (joint w/
Korotynskiy\, Regan\, Pajdla)\, we conjecture this group is even smaller t
han what mere imprimitivity would suggest. Shifting gears slightly\, I wil
l consider another reconstruction problem involving “radial cameras'\, whi
ch can be used model a wide variety of optical imaging devices (eg. fishey
e lenses.) At first glance\, we are faced with inverting a branched cover
of degree 3584. Somewhat miraculously\, this problem decomposes into many
smaller problems\, allowing us to devise a practical solution (joint work
w/ Hrubý\, Korotynskiy\, Oeding\, Pollefeys\, Pajdla\, Larsson.)
DTSTART;TZID=America/Los_Angeles:20230425T134500
LAST-MODIFIED:20230422T054123Z
LOCATION:PDL C-38
SEQUENCE:152
SUMMARY:: Relative Pose Problems and their Branched Covers
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-25/relative-pose-problems-an
d-their-branched-covers
END:VEVENT
BEGIN:VEVENT
UID:757f601d-c48f-4f37-899c-f585ced76656
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230420T154158Z
DESCRIPTION:Speaker: Mark Behrens\, University of Notre Dame\n\nThe tmf res
olution (aka the tmf-based Adams spectral sequence) is a powerful tool for
investigating the 2-primary stable stems\, especially the second chromati
c layer. It is a natural evolution of Mahowald's 'bo-resolutions'. A key
first step in bo-resolutions is the computation of the \(v_1\)-periodic E
xt of \(bo^i\). In this talk I will discuss the analogous complete comput
ation of the \(v_2\)-periodic Ext of \(tmf^i\). This is joint work with P
rasit Bhattacharya and Dominic Culver.\nThere will be a pre-talk aimed at
graduate students 2:30-3:15pm\, also in PDL C-401.
DTSTART;TZID=America/Los_Angeles:20230425T153000
DTEND;TZID=America/Los_Angeles:20230425T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:153
SUMMARY:: The v2-local algebraic tmf resolution
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-25/v2-local-algebraic-tmf-re
solution
END:VEVENT
BEGIN:VEVENT
UID:940db53a-94b1-49fe-9a90-c9b8923ac60c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230401T231622Z
DESCRIPTION:Speaker: Farbod Shokrieh\, University of Washington\n\nAbstract
:\nAny graph comes with a Jacobian\, which is a real torus and is closely
related to the celebrated matrix-tree theorem as well as the theory of chi
p-firing games. There is also an Abel--Jacobi theory\, providing maps from
a graph to its Jacobian. This picture gives rise to some interesting poly
hedral geometry\, some of which is related to the theory of random spannin
g trees. I will give an overview of the subject and state some recent resu
lts. \nNote: This talk begins with a pre-seminar (aimed at graduate studen
ts) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: https:
//washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230426T153000
DTEND;TZID=America/Los_Angeles:20230426T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:154
SUMMARY:: Chip-firing game on metric graphs and combinatorics of their Jaco
bians
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-26/chip-firing-game-metric-g
raphs-and-combinatorics-their-jacobians
END:VEVENT
BEGIN:VEVENT
UID:2f92fc80-5614-43d6-b6d2-c37ce20acff0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230213T182428Z
DESCRIPTION:Speaker: Ru-yu Lai (U. Minnesota)\n\nAn inverse problem is a ge
neral framework that utilizes actual observations to recover the hidden pr
operties. One of important directions in the field is the study of nonline
ar equations\, which arise from many physical phenomena. In this talk\, we
will first introduce mathematical background and present the problem sett
ing for the Schroedinger equations with nonlinear terms. Moreover\, we wil
l discuss the technical strategies\, such as the higher order linearizatio
n scheme\, in the reconstruction of the unknown coefficients.
DTSTART;TZID=America/Los_Angeles:20230426T160000
DTEND;TZID=America/Los_Angeles:20230426T170000
LAST-MODIFIED:20230402T010002Z
LOCATION:PDL C-38
SEQUENCE:155
SUMMARY:: Inverse Problems for Nonlinear Schroedinger Equations (Joint wit
h IP seminar)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-26/inverse-problems-nonlinea
r-schroedinger-equations-joint-ip-seminar
END:VEVENT
BEGIN:VEVENT
UID:c28672d3-c334-4d7f-b64f-309593b8c104
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230424T211511Z
DESCRIPTION:Speaker: Linhang Huang\, University of Washington\n\nThe dualit
y between the Brownian motion and Laplacian on \$\mathbb{R}^d\$ illustrate
s a quite intricate link between diffusion processes (continuous Markov pr
ocesses) and local symmetric bilinear forms. In this talk\, we will go thr
ough some standard methods to construct the standard Brownian motion and s
ee how they inspire us to construct diffusion processes in more general se
ttings. If time permits\, we will also briefly talk about how to make diff
usions on manifolds explicitly using standard Brownian motions. The talk i
s expository and no advanced knowledge of probability\, spectral theory or
potential theory will be assumed.
DTSTART;TZID=America/Los_Angeles:20230427T123000
DTEND;TZID=America/Los_Angeles:20230427T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:156
SUMMARY:: Construction of Diffusion Processes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-27/construction-diffusion-pr
ocesses
END:VEVENT
BEGIN:VEVENT
UID:69fc41e4-ad16-4c8d-9f6c-7f2813965553
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230424T213540Z
DESCRIPTION:Speaker: Chris Kapulkin (Western Ontario)\n\nIn their 1967 book
'Calculus of Fractions and Homotopy Theory'\, P.Gabriel and M. Zisman int
roduced calculus of fractions as a tool forunderstanding the localization
of a category at a class of weakequivalences. While powerful\, the conditi
on of calculus of fractions isquite restrictive and it is rarely satisfied
in various homotopicalsettings\, like model categories or Brown's categor
ies of fibrantobjects\, where one instead has *homotopy* calculus of fract
ions.This talk is based on joint work with D. Carranza and Z. Lindsey\, wh
ichaims to reconcile the two. We define calculus of fractions forquasicate
gories and give a workable model for the localization of amarked quasicate
gory satisfying our condition. Although we have alreadyfound several appli
cations of this result\, I would be very interested ingetting feedback fro
m the audience and exploring new applications.
DTSTART;TZID=America/Los_Angeles:20230427T140000
DTEND;TZID=America/Los_Angeles:20230427T150000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:157
SUMMARY:: Higher-dimensional Calculus of Fractions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-04-27/higher-dimensional-calcul
us-fractions
END:VEVENT
BEGIN:VEVENT
UID:7806059b-e00f-420f-a364-690aaef69044
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230420T221607Z
DESCRIPTION:Speaker: Dmitriy Drusvyatskiy (University of Washington)\n\nThe
stochastic gradient method is the workhorse algorithm for learning from d
ata. Although originally designed for smooth optimization\, the method is
now routinely used to optimize functions that are neither smooth nor conve
x. Yet\, the stochastic gradient method often works just as well on such h
ighly irregular problems as on those that are smooth. The goal of this tal
k is to explain this phenomenon. Roughly speaking\, we will see that minim
izers of typical problems lie on a distinguished smooth manifold which end
ows the stochastic gradient method with smooth dynamics up to a small orde
r error. This viewpoint then leads to several consequences such as local r
ates of convergence\, asymptotic normality of averaged iterates\, and sadd
le point avoidance.
DTSTART;TZID=America/Los_Angeles:20230501T143000
DTEND;TZID=America/Los_Angeles:20230501T153000
LAST-MODIFIED:20230420T221607Z
LOCATION:ECE 026
SEQUENCE:158
SUMMARY:: Stochastic gradient method: when and why does it work?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-01/stochastic-gradient-metho
d-when-and-why-does-it-work
END:VEVENT
BEGIN:VEVENT
UID:2ba5fc49-cf87-4a8d-86cf-41d53ebd98c1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230501T155030Z
DESCRIPTION:Speaker: Andrew Tawfeek (University of Washington)\n\nWe introd
uce and discuss the notion of a (tropical) vector bundle on a metric graph
(equivalently\, an abstract tropical curve). We show that unlike the clas
sical setting\, we can express any vector bundle as the pushforward of a l
ine bundle on a free cover of our graph. This lends itself to a natural no
tion of 'multidivisors': a tropical incarnation of Weil's notion of a matr
ix divisor from Généralisation des fonctions abéliennes. We then use these
notions to comment on the moduli space of vector bundles on a tropical cu
rve\, and prove analogues of the Narasimhan-Seshadri and Weil-Riemann-Roch
theorem.
DTSTART;TZID=America/Los_Angeles:20230501T150000
DTEND;TZID=America/Los_Angeles:20230501T160000
LAST-MODIFIED:20240822T184151Z
LOCATION:Padelford Hall (PDL) C-401
SEQUENCE:159
SUMMARY:: Combinatorial Algebraic Geometry:Vector bundles as multidivisors
on metric graphs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-01/combinatorial-algebraic-g
eometryvector-bundles-multidivisors-metric-graphs
END:VEVENT
BEGIN:VEVENT
UID:10201dd1-5cb8-4b3a-ab61-a65ecb99aae5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230428T071711Z
DESCRIPTION:Speaker: Haocheng Cai\, University of Washington\n\nThe theory
of D-modules\, developed in the 1970s\, is renowned for its success in pro
ving many significant theorems\, including the Riemann Hilbert corresponde
nce. In this presentation\, I will introduce the foundational object in th
e theory of D-modules: the nth Weyl algebra. By treating it as a ring of d
ifferential operators on the polynomial ring\, we will explore its propert
ies and establish the connection between modules over the Weyl algebra (D-
modules) and systems of partial differential equations. While a familiarit
y with partial derivatives is necessary\, knowledge of partial differentia
l equations is not required for understanding.\nZoom Link: https://washing
ton.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230501T160000
DTEND;TZID=America/Los_Angeles:20230501T165000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:160
SUMMARY:: 1-2-3 Seminar: An Introduction to D-Modules Without Algebraic Geo
metry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-01/1-2-3-seminar-introductio
n-d-modules-without-algebraic-geometry
END:VEVENT
BEGIN:VEVENT
UID:667e5f6a-2eb3-4bad-8420-13b8eb2d4373
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230119T192505Z
DESCRIPTION:Speaker: Jared Krandel\, Stony Brook University\n\nIn the cours
e of proving the Analysts's Traveling Salesman Theorem\, Peter Jones prove
d that any simply connected domain in the plane with finite boundary lengt
h can be decomposed into a disjoint collection of Lipschitz domains with c
ontrolled total boundary length. In this talk\, we will explore higher-dim
ensional analogues of this theorem. \n\nIn the first part\, I will give a
short introduction to quantitative geometric measure theory and some of it
s key ideas such as stopping time arguments and the corona decomposition.
In the second part\, I will show how to use these ideas to give geometric
sufficient conditions on higher-dimensional domain boundaries for the exis
tence of Jones-type decompositions. The notion of a set being 'often' bila
terally close to a d-plane\, as quantified by Reifenberg flatness or unifo
rm rectifiability\, is vital.
DTSTART;TZID=America/Los_Angeles:20230502T013000
DTEND;TZID=America/Los_Angeles:20230502T153000
LAST-MODIFIED:20230421T211721Z
LOCATION:PDL C-401
SEQUENCE:161
SUMMARY:: Lipschitz decompositions of the complements of bilaterally flat s
ets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-02/lipschitz-decompositions-
complements-bilaterally-flat-sets
END:VEVENT
BEGIN:VEVENT
UID:8d34748f-ff8c-488a-80f9-215e58ee04d7
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213459Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
UWFT - Munz\n\n\nCommittee Reports\n\nGrad Admissions Committee - Koblitz
\n\n\nNew Business\nExecutive Session\nAdjournment\n\nMINUTES\nThe regular
meeting of the faculty of the Department of Mathematics was held virtuall
y via Zoom at 3:30pm PST\, May 2\, 2023. John Palmieri\, Chair\, presided
at the meeting. Rose Choi was recording secretary. \nThe meeting began wit
h approval of the previous meeting’s minutes.\nChair's Remarks\nThe end-of
-quarter beer bash will be held on June 9th at 3:30pm in HUB 145. Please a
ttend if you can.\nAs some of you may know\, there is a 5-year limit on po
stdocs at UW (this includes time spent at previous institutions). However\
, the new vice provost of academic personnel is open to requests for excep
tions during any stage of their hire.\nGradescope will be fully covered by
the College.\nAnnouncements\nMike Munz updated the faculty on the timelin
e and blackout deadlines for the upcoming UW Financial Transformation cuto
ver. With less than two months to go before the Workday Finance go-live (J
uly 1)\, please keep the following in mind:\n\nInternal reimbursements sho
uld be submitted to Pam (travel) and Mike by June 13\nExternal reimburseme
nts/payments (non-UW) should be submitted to Mike by May 31\nRequests made
after these deadlines will be processed after July 5th\nNotify Mike as so
on as possible if you anticipate bulk supply needs\nActive PIs are automat
ically assigned the security role “Principal Investigator (Grants)”. Train
ing videos have been emailed via UW Bridge.\n\nCommittee Reports\nThe Grad
uate Admissions Committee (Koblitz\, Drouot\, Garner\, Hoffman\, R Liu\, P
ezzoli\, Rothvoss\, Shi\, Steinerberger\, Zhang) would like to thank every
one who helped with this year’s recruitment.\nThere were 396 applicants wi
th an entering class of 18 students plus a deferred student from last year
(out of 53 initial offers and 30 waitlisted). Three will enter with exter
nal support and 15 will receive TAships.\nThe campus visits were quite suc
cessful and many of the prospectives enjoyed their discussions with the fa
culty and grad students.\nADJOURNMENT\nThere being no new business\, the m
eeting passed into executive session at 4:01pm.
DTSTART;TZID=America/Los_Angeles:20230502T153000
LAST-MODIFIED:20230607T230300Z
LOCATION:Zoom
SEQUENCE:162
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-02/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:12ee6436-4f4d-4c15-9f9b-1e61a9a278d0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230401T231733Z
DESCRIPTION:Speaker: Lauren Nowak\, University of Washington\n\nAbstract:\n
The establishment of the log-concavity of characteristic polynomials of ma
troids was a result that took decades to confirm and connected ideas from
combinatorics\, algebra\, and algebraic geometry. In this talk\, we will
be exploring how this result can be achieved from the perspective of volum
e theory and polyhedral geometry. In particular\, we will explore the con
ditions under which the mixed volumes of a normal complex - an orthogonal
truncation of a polyhedral fan - satisfy the Alexandrov-Fenchel inequaliti
es. By then specializing to Bergman fans of matroids\, we give a new proof
of the log-concavity of characteristic polynomials of matroids.\nNote: Th
is talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:0
0. The main talk starts at 4:10.\nJoin Zoom Meeting: https://washington.zo
om.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230503T153000
DTEND;TZID=America/Los_Angeles:20230503T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:163
SUMMARY:: Mixed Volumes of Normal Complexes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-03/mixed-volumes-normal-comp
lexes
END:VEVENT
BEGIN:VEVENT
UID:c80d83db-dbf2-4a4f-9cc5-2a6275523646
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230421T054542Z
DESCRIPTION:Speaker: Jenn-Nan Wang (National Taiwan University)\n\nIn this
talk\, I would like to discuss Landis-type conjecture for the fractional S
chrodingeroperator. This conjecture is closely related to uniqueness estim
ates for the strong unique continuation property and the unique continuati
on at infinity. These kinds of estimates are usefulin understanding the lo
cal and global properties of the solution. For the classical Schrodingerop
erator\, these estimates have been extensively studied and successfully ap
plied to other problems. Recently\, the study of the local properties of s
olutions to the fractional equation becamepossible thanks to the Caffarell
i-Silvestre extension theorem. For the fractional Schrodingeroperator\, we
are especially interested in the dependence of the estimates on the size
of thepotential. In the case of the half-Laplacian\, we proved an almost o
ptimal result.
DTSTART;TZID=America/Los_Angeles:20230503T160000
DTEND;TZID=America/Los_Angeles:20230503T170000
LAST-MODIFIED:20230421T054542Z
LOCATION:PDL C-38
SEQUENCE:164
SUMMARY:: Landis-type conjecture for the fractional Schrodinger operator (J
oint with IP seminar)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-03/landis-type-conjecture-fr
actional-schrodinger-operator-joint-ip-seminar
END:VEVENT
BEGIN:VEVENT
UID:cf77ae82-da12-40ec-a2d4-c3c5d12582ca
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230503T160630Z
DESCRIPTION:Speaker: Jacob Ogden\, University of Washington\n\nCalibrations
are an important tool in the study of minimal submanifolds. A calibration
can be used to show that a particular minimal submanifold is volume minim
izing\, or\, as Harvey and Lawson discovered\, a calibration can be used t
o produce new examples of minimal submanifolds. In the first part of the t
alk\, we will discuss the standard calibration associated to a minimal hyp
ersurface in Euclidean space\, and then we will construct a similar calibr
ation associated to a maximal spacelike hypersurface in Minkowski space wh
ich can be used to show that a maximal spacelike graph has the largest vol
ume among all spacelike submanifolds with the same boundary. In the second
part of the talk\, we will introduce Harvey and Lawson’s special Lagrangi
an calibration and discuss some aspects of the problem of trying to find e
xamples of graphical special Lagrangian cones.
DTSTART;TZID=America/Los_Angeles:20230504T123000
DTEND;TZID=America/Los_Angeles:20230504T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:165
SUMMARY:: Calibrations and Special Lagrangian Cones
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-04/calibrations-and-special-
lagrangian-cones
END:VEVENT
BEGIN:VEVENT
UID:3f9c5de1-1a5f-48ca-8f78-d7b134369c68
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230501T210332Z
DESCRIPTION:Speaker: Piotr Pstragowski (Harvard)\n\nAbstract: The even fil
tration\, introduced by Hahn-Raksit-Wilson\, is a canonical filtration att
ached to a commutative ring spectrum which measures its failure to be even
. Despite its simple definition\, the even filtration recovers many arithm
etically important constructions\, such as the Adams-Novikov filtration of
the sphere or the Bhatt-Morrow-Scholze filtration on topological Hochschi
ld homology\, showing that they are all invariants of the ring spectrum al
one. I will describe a linear variant of the even filtration which is natu
rally defined on associative rings and can be effectively calculated throu
gh resolutions of modules\, leading one to dream of prismatic cohomology o
f E_2-ring spectra.
DTSTART;TZID=America/Los_Angeles:20230504T143000
DTEND;TZID=America/Los_Angeles:20230504T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:166
SUMMARY:: The Even Filtration
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-04/even-filtration
END:VEVENT
BEGIN:VEVENT
UID:d94f1556-de75-4b9d-baaf-1823d638066f
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221128T220441Z
DESCRIPTION:Speaker: Emily Dumas\, University of Illinois at Chicago\n\nThe
space of homomorphisms from the fundamental group of a compact surface to
a Lie group is a remarkably rich and versatile object\, playing a key rol
e in mathematical developments spanning disciplines of algebra\, analysis\
, geometry\, and mathematical physics. In this talk I will discuss and wea
ve together two major threads of research within this larger story: The st
udy of manifolds that are obtained by taking quotients of symmetric spaces
(the 'inside view') and those obtained as quotients of domains in flag va
rieties (the 'boundary view'). This discussion will start with classical o
bjects--hyperbolic structures on surfaces---and continue into topics of on
going research.
DTSTART;TZID=America/Los_Angeles:20230505T153000
LAST-MODIFIED:20240506T172923Z
LOCATION:ECE 125
SEQUENCE:167
SUMMARY:: Geometry of surface group homomorphisms
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-05/geometry-surface-group-ho
momorphisms
END:VEVENT
BEGIN:VEVENT
UID:09b06ac0-9193-4fef-9ac5-a05531d54750
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230505T164228Z
DESCRIPTION:Speaker: Jonathan Niño-Cortes\n\nAdvisor: Cynthia Vinzant
DTSTART;TZID=America/Los_Angeles:20230508T153000
LAST-MODIFIED:20230505T164228Z
LOCATION:PDL C-401
SEQUENCE:168
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-08/general-exam
END:VEVENT
BEGIN:VEVENT
UID:c58ef7e1-c394-4259-b640-20cb291812f9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230502T182043Z
DESCRIPTION:Speaker: Lili Yan\, University of Minnesota\n\nIn an inverse bo
undary problem\, one seeks to determine the coefficients of a PDE inside a
domain\, describing internal properties\, from the knowledge of boundary
values of solutions of the PDE\, encoding boundary measurements. Applicati
ons of such problems range from medical imaging to non-destructive testing
. In this talk\, starting with the fundamental Calderon inverse conductivi
ty problem\, we shall first discuss a partial data inverse boundary proble
m for the Magnetic Schr\'odinger operator on CTA manifolds. Next\, we disc
uss first-order perturbations of biharmonic operators in the same geometri
c. Specifically\, we shall present a global uniqueness result as well as a
reconstruction procedure for the latter inverse boundary problem.
DTSTART;TZID=America/Los_Angeles:20230509T103000
DTEND;TZID=America/Los_Angeles:20230509T112000
LAST-MODIFIED:20230503T203848Z
LOCATION:SMI 307
SEQUENCE:169
SUMMARY:: Inverse boundary problems for elliptic operators on conformally t
ransversally anisotropic manifolds
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-09/inverse-boundary-problems
-elliptic-operators-conformally-transversally
END:VEVENT
BEGIN:VEVENT
UID:02201bd5-d6ee-47dc-b7fd-16cd6349acbb
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230110T183320Z
DESCRIPTION:Speaker: Lisa Naples\, Macalester College\n\nIn 2006\, Cheeger
and Kleiner proved that the Heisenberg group fails to bi-Lipschitzly embed
into \$L^1\$. The authors remarked that their proof should hold for every
Carnot group \$G\$ that satisfies: for every finite perimeter subset \$E\
subset G\$ and \$\operatorname{Per}_E\$-almost every \, every tangent of \
$E\$ at \$x\$ is a half-space. While such property remains elusive\, Ambro
sio\, Kleiner\, and Le Donne made significant progress by proving that eve
ry Carnot group satisfies: every finite perimeter subset has the property
that for \$\operatorname{Per_E}\$-almost every \$x\in G\$ \, there is som
e blowup of \$E\$ at \$x\$ that is a half-space. We use the result of Ambr
osio\, Kleiner\, and Le Donne\, together with the framework of Cheeger and
Kleiner to show that nonabelian Carnot groups fail to bilischitz embed in
to \$L^1\$. This is joint work with Sylvester Eriksson-Bique\, Chris Gartl
and\, Enrico Le Donne\, and Sebastiano Nicolussi-Golo.
DTSTART;TZID=America/Los_Angeles:20230509T133000
DTEND;TZID=America/Los_Angeles:20230509T153000
LAST-MODIFIED:20230426T173221Z
LOCATION:PDL C-401
SEQUENCE:170
SUMMARY:: Non-embeddability of Carnot Groups into L^1
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-09/non-embeddability-carnot-
groups-l1
END:VEVENT
BEGIN:VEVENT
UID:627ab9e3-7a9a-4b25-8e8b-b9f5ae6d60c5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230505T235448Z
DESCRIPTION:Speaker: Nathan Ilten-Gee (SFU)\n\n\n\n\nFor the pretalk:\nTitl
e: Equivariant vector bundles on toric varieties\nAbstract: I will recall
some basic notions of toric geometry\, and discuss Klyachko's description
of equivariant vector bundles on toric varieties in terms of collections o
f filtrations.\n\n\nFor the talk:\nTitle: Local euler characteristic for s
ymmetric differentials on A_n singularities\nAbstract: Local euler charact
eristic\, introduced by Wahl\, is a measure of how a reflexive sheaf on a
surface singularity changes when passing to a resolution of the singularit
y. Recently it has been used by Bruin\, Thomas\, and Várilly-Alvarado in t
he study of algebraic quasi-hyperbolicity for singular surfaces. In this t
alk\, I will give an explicit formula for the local Euler characteristic o
f the mth symmetric power of the sheaf of differentials on an A_n singular
ity. In particular\, I will show that the local Euler characteristic is a
quasipolynomial in m of period n+1. The proof makes use of tools from tori
c geometry and Ehrhart theory and involves some fun combinatorics. This is
joint work in progress with Nils Bruin and Zhe Xu.
DTSTART;TZID=America/Los_Angeles:20230509T134500
LAST-MODIFIED:20230505T235448Z
LOCATION:PDL C-38
SEQUENCE:171
SUMMARY:: Local Euler characteristic for symmetric differentials on A_n sin
gularities
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-09/local-euler-characteristi
c-symmetric-differentials-singularities
END:VEVENT
BEGIN:VEVENT
UID:50454654-ba5a-4395-bf10-a7f86dc4fd18
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230507T051600Z
DESCRIPTION:Speaker: Foling Zou\, University of Michigan\n\nNon-equivariant
ly\, the dual Steenrod algebra spectrum is a wedge of suspensions of HZ/p.
I will talk about the computation of the equivariant dual Steenrod algebr
a for G = C_p\, the cyclic group of order p. It turns out that when p is o
dd\, the dual Steenrod algebra spectrum is a wedge of suspensions of HZ/p
and another spectrum\, which we call HT. I will take about how to obtain t
he generators of these summands. This is joint work with Po Hu\, Igor Kriz
\, and Petr Somberg.
DTSTART;TZID=America/Los_Angeles:20230509T153000
DTEND;TZID=America/Los_Angeles:20230509T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:172
SUMMARY:: The C_p-equivariant dual Steenrod algebra for odd prime p
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-09/cp-equivariant-dual-steen
rod-algebra-odd-prime-p
END:VEVENT
BEGIN:VEVENT
UID:e64d1bc2-8265-4a95-9a0b-d93753f22f3c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230401T231824Z
DESCRIPTION:Speaker: Christopher Eur\, Harvard University\n\nAbstract:\nMot
ivated by certain toric vector bundles on a toric variety\, we introduce '
tautological classes of matroids' as a new geometric model for studying ma
troids. We describe how it unifies\, recovers\, and extends various result
s from previous geometric models of matroids. We then explain how it raise
s several new questions that probe the boundary between combinatorics and
algebraic geometry.\nNote: This talk begins with a pre-seminar (aimed at g
raduate students) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom M
eeting: https://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230510T153000
DTEND;TZID=America/Los_Angeles:20230510T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:173
SUMMARY:: Tautological classes of matroids
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-10/tautological-classes-matr
oids
END:VEVENT
BEGIN:VEVENT
UID:d4799581-50a9-4a21-a253-0551bb597c1d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230509T165440Z
DESCRIPTION:Speaker: Emily Casey\, University of Washington\n\nIn 1989 Bish
op\, Carleson\, Garnett\, and Jones proved in Harmonic Measures Supported
on Curves that the boundary of a Jordan domain having no tangent points \$
\mathcal{H}^1\$-a.e. is equivalent to the harmonic measures relative to th
e interior and exterior of that Jordan domain being mutually singular. Fol
lowing these results\, it was shown that at almost every tangent point\, t
he boundary satisfies a certain integral condition. Carleson conjectured t
hat the converse also held: at almost every point where the boundary satis
fied a certain integral condition\, there is a classical tangent. This con
jecture remained open until 2021\, finally being resolved by Jaye\, Tolsa\
, and Villa in their paper A proof of Carleson's \$\varepsilon^2\$-conject
ure. In the first part of this talk\, we will explore the key ideas in the
proof given by Jaye\, Tolsa\, and Villa. Later\, we will discuss some wor
k towards quantitative results both with the \$\varepsilon\$ function and
also a related geometric square function.
DTSTART;TZID=America/Los_Angeles:20230511T123000
DTEND;TZID=America/Los_Angeles:20230511T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL-C401
SEQUENCE:174
SUMMARY:: Square Functions and Rectifiability
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-11/square-functions-and-rect
ifiability
END:VEVENT
BEGIN:VEVENT
UID:1a9164ff-278d-482c-942e-92ec9899bcd5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230503T001409Z
DESCRIPTION:Speaker: Shiping Cao (University of Washington)\n\n\n The local
ly symmetric diffusions\, also known as Brownian motions\, on generalized
Sierpinski carpets were constructed by Barlow and Bass in 1989. On a fixed
carpet\, by the uniqueness theorem (Barlow-Bass-Kumagai-Teplyaev\, 2010)\
, the reflected Brownians motion on level $n$ approximation Euclidean doma
in\, running at speed $\lambda_n\asymp \eta^n$ with $\eta$ being a constan
t depending on the fractal\, converges weakly to the Brownian motion on th
e Sierpinski carpet as $n$ tends to infinity. In this talk\, we show the c
onvergence of $\lambda_n/\eta^n$. We also give a positive answer to a clos
ely related open question of Barlow-Bass (1990) about the convergence of t
he renormalized effective resistances between two opposite faces of approx
imation domains. This talk is based on a joint work with Zhen-Qing Chen.
DTSTART;TZID=America/Los_Angeles:20230515T143000
DTEND;TZID=America/Los_Angeles:20230515T153000
LAST-MODIFIED:20230509T164342Z
LOCATION:ECE 026
SEQUENCE:175
SUMMARY:: Convergence of resistances on generalized Sierpinski carpets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-15/convergence-resistances-g
eneralized-sierpinski-carpets
END:VEVENT
BEGIN:VEVENT
UID:e87cd0f8-b5f7-40db-8834-f9e8e3f47152
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230512T050656Z
DESCRIPTION:Speaker: Natasha Crepeau\, University of Washington\n\nA diviso
r on a graph is an assignment of integers to the vertices of the graph. We
can go from one divisor to another by performing a sequence of 'chip-fir
ing moves'. One special type of divisor are break divisors\, which are ind
uced by a spanning tree and orientation of edges not in the tree. In this
talk\, we will examine properties of break divisors and define generalized
break divisors. We will also discuss connections to Jacobians and results
in the genus 1 case. \nZoom Link: https://washington.zoom.us/j/9284956889
2
DTSTART;TZID=America/Los_Angeles:20230515T160000
DTEND;TZID=America/Los_Angeles:20230515T165000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:176
SUMMARY:: 1-2-3 Seminar: What is a break divisor and how can we study them?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-15/1-2-3-seminar-what-break-
divisor-and-how-can-we-study-them
END:VEVENT
BEGIN:VEVENT
UID:2bdedfdb-4f6f-4363-a5d9-90aac6b62c45
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230111T011926Z
DESCRIPTION:Speaker: Cole Jeznach\, University of Minnesota\n\nThe relation
ship between harmonic measure and surface measure of a domain is largely c
onnected with the geometry of the domain itself. In many fractals (for exa
mple\, in domains with relatively 'large'' boundaries\, and outside self-s
imilar 'enough'' Cantor sets)\, these measures are mutually singular\, and
in fact\, have different dimensions. After recalling some of these result
s I will present joint work with G. David and A. Julia where we demonstrat
e examples where the exact opposite occurs: we construct Cantor-type sets
in the plane that are Ahlfors regular (of small dimension) for which their
associated harmonic measure and surface measure are bounded equivalent.
DTSTART;TZID=America/Los_Angeles:20230516T133000
DTEND;TZID=America/Los_Angeles:20230516T153000
LAST-MODIFIED:20230418T050542Z
LOCATION:PDL C-401
SEQUENCE:177
SUMMARY:: Low dimensional Cantor sets with absolutely continuous harmonic m
easure
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-16/low-dimensional-cantor-se
ts-absolutely-continuous-harmonic-measure
END:VEVENT
BEGIN:VEVENT
UID:e8bfe007-169c-4c83-bbed-288a337a864f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230515T043206Z
DESCRIPTION:Speaker: Jacob Keller (UCSD) \n\n\n\nTitle: The Birational Geom
etry of K-Moduli Spaces\n \nAbstract: K-stability is a rapidly developing
theory that allows one to construct moduli spaces for Fano varieties. In a
ll known examples\, K-moduli spaces are uniruled\, so their Kodaira dimens
ions are negative infinity. In this talk we will describe components of K-
Moduli spaces which are birational to M_g\, in particular they have maxima
l Kodaira dimension when g is sufficiently large. This component parameter
izes certain moduli spaces of vector bundles on smooth curves\, and the ma
in difficulty is to show that these moduli spaces are K-stable. To establi
sh this we require good understanding of their toric degenerations.
DTSTART;TZID=America/Los_Angeles:20230516T133500
LAST-MODIFIED:20230515T043206Z
LOCATION:PDL C-38
SEQUENCE:178
SUMMARY:: The Birational Geometry of K-Moduli Spaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-16/birational-geometry-k-mod
uli-spaces
END:VEVENT
BEGIN:VEVENT
UID:75297f26-8417-4334-bfd6-6ac384ee8d55
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230515T043305Z
DESCRIPTION:Speaker: Svetlana Makarova (UPenn)\n\n\n\n\nTitle: Moduli probl
ems in abelian categories\n\n\n\n\n\n\n \nAbstract: I will explain why vie
wing moduli problems as functors allows one to recover the structure of a
variety on the set of isomorphism classes of objects\, and then I will tal
k about modern methods of studying moduli problems. The modern theory 'Bey
ond GIT' provides a 'coordinate-free' way of thinking about classification
problems. Among giving a uniform philosophy\, this allows to treat proble
ms that can't necessarily be described as global quotients\, like objects
in an abstract abelian category. I will show how the methods of BGIT can b
e applied to prove existence and projectivity of moduli spaces of objects
in a class of abelian categories. This is based on a joint work with Andre
s Fernandez Herrero\, Emma Lennen. Further\, applying these methods to mod
uli of quiver representations allows us to focus on geometry and obtain ne
w results. I will define a determinantal line bundle which descends to a s
emiample line bundle on the moduli space and provide effective bounds for
its global generation. For an acyclic quiver\, we can observe that this li
ne bundle is ample and thus the adequate moduli space is projective over a
n arbitrary noetherian base. This part is based on a preprint with Belmans
\, Damiolini\, Franzen\, Hoskins\, Tajakka (https://arxiv.org/abs/2210.000
33).
DTSTART;TZID=America/Los_Angeles:20230516T143000
LAST-MODIFIED:20230515T043305Z
LOCATION:PDL C-38
SEQUENCE:179
SUMMARY:: Moduli problems in abelian categories
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-16/moduli-problems-abelian-c
ategories
END:VEVENT
BEGIN:VEVENT
UID:59a79644-aa6d-4509-b82b-f248c92ed576
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230401T232148Z
DESCRIPTION:Speaker: Pablo Soberón\, City University of New York\, Baruch C
ollege\n\nAbstract:\nMany results in discrete geometry describe combinator
ial properties of finite families of points in \(\mathbf R^d\). In this ta
lk\, we discuss versions of these results for families of affine spaces. G
iven a family of points\, if we look at the convex hulls of its subsets\,
there are several results describing how these sets intersect (such as Tve
rberg's theorem)\, or how they separate (such as the ham sandwich theorem)
. We describe new versions of both types of results for families of hyperp
lanes.\nNote: This talk begins with a pre-seminar (aimed at graduate stude
nts) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: https
://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230517T153000
DTEND;TZID=America/Los_Angeles:20230517T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:180
SUMMARY:: Central transversals and hyperplane arrangements
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-17/central-transversals-and-
hyperplane-arrangements
END:VEVENT
BEGIN:VEVENT
UID:6305b998-2dba-449a-8629-60ca841447b9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230216T203211Z
DESCRIPTION:Speaker: Arunima Bhattacharya (U. North Carolina)\n\nIn this ta
lk\, we will introduce the special Lagrangian and Lagrangian mean curvatur
e type equations. We will derive a priori interior estimates for the Lagra
ngian mean curvature equation under certain natural restrictions on the La
grangian angle. As an application\, we will use these estimates to solve t
he Dirichlet problem for the Lagrangian mean curvature equation with conti
nuous boundary data on a uniformly convex\, bounded domain. We will also b
riefly introduce the fourth-order Hamiltonian stationary equation and ment
ion some recent results on the regularity of solutions of certain fourth-o
rder PDEs\, which are critical points of variational integrals of the Hess
ian of a scalar function. Examples include volume functionals on Lagrangia
n submanifolds. This is based on joint work with Mooney and Shankar.
DTSTART;TZID=America/Los_Angeles:20230517T160000
DTEND;TZID=America/Los_Angeles:20230517T170000
LAST-MODIFIED:20230514T164821Z
LOCATION:PDL C-38
SEQUENCE:181
SUMMARY:: A priori interior estimates for Lagrangian mean curvature equatio
ns
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-17/priori-interior-estimates
-lagrangian-mean-curvature-equations
END:VEVENT
BEGIN:VEVENT
UID:e5e33789-d911-4c8c-ad23-518eee281eb3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230515T062840Z
DESCRIPTION:Speaker: Ignacio Tejeda\, University of Washington\n\nUnique co
ntinuation at the boundary is one of a number of problems that seek to und
erstand nodal or singular sets of solutions to elliptic and parabolic equa
tions. The question it poses is the following: given a nonconstant solutio
n that vanishes continuously on an open subset of the boundary of the doma
in\, what can be said about the size of the subset where the normal deriva
tive vanishes as well? In this talk we will discuss the recent progress th
at has been made in the particular case of the Laplace equation\, under va
rious assumptions on the regularity of the domain. We will pay special att
ention to the techniques that have been used thus far\, most notably the
use of Almgren's frequency function\, and to the challenges that arise whe
n weaker assumptions on the regularity of the domain are made.
DTSTART;TZID=America/Los_Angeles:20230518T123000
DTEND;TZID=America/Los_Angeles:20230518T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:182
SUMMARY:: Unique Continuation at the Boundary
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-18/unique-continuation-bound
ary
END:VEVENT
BEGIN:VEVENT
UID:43bbf67a-11da-4b7f-964f-84520e33f593
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230505T235907Z
DESCRIPTION:Speaker: Jacob Ogden\n\nAdvisor: Yu Yuan
DTSTART;TZID=America/Los_Angeles:20230519T100000
LAST-MODIFIED:20230505T235907Z
LOCATION:LOW 202
SEQUENCE:183
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-19/general-exam
END:VEVENT
BEGIN:VEVENT
UID:cbba96ae-d874-49fd-b66d-030923d1ef9f
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20221128T220838Z
DESCRIPTION:Speaker: Mike Hill\, University of California\, Los Angeles\n\n
A group is just a set together with a multiplication with certain properti
es\, and these are ubiquitous in modern mathematics. In homotopy theory\,
we often see less-rigid objects\, with many of the properties like associa
tivity or commutativity only holding 'up to homotopy'. This part of the st
ory has been well-understood since the 1970s.\nWhen we add in the action o
f a fixed finite group\, the game changes wildly. Even what we mean by com
mutative becomes less clear. This is the heart of the evolving subject of
equivariant algebra. I'll describe how to understand groups 'up to homotop
y'\, what we see when we put in a group action\, and how a classification
problem of what 'commutative” means in this context connects to combinator
ics.
DTSTART;TZID=America/Los_Angeles:20230519T153000
LAST-MODIFIED:20230516T022928Z
LOCATION:ECE 125
SEQUENCE:184
SUMMARY:: Group actions\, algebra up to homotopy\, and flavors of commutati
vity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-19/group-actions-algebra-hom
otopy-and-flavors-commutativity
END:VEVENT
BEGIN:VEVENT
UID:e20d612e-2ed0-4ce7-a740-ddcc7ab0f1c6
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20230516T162947Z
DESCRIPTION:Speaker: Kristine Hampton\n\nA Hyperresolution-Free Characteriz
ation of the Deligne-Du Bois Complex\nAdvisor: Sándor Kovács
DTSTART;TZID=America/Los_Angeles:20230522T100000
LAST-MODIFIED:20230516T162947Z
LOCATION:THO 119
SEQUENCE:185
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-22/final-exam
END:VEVENT
BEGIN:VEVENT
UID:b24f73d1-1edf-4e49-bab5-1f45692f3709
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230516T162540Z
DESCRIPTION:Speaker: Junaid Hasan\n\nAdvisor: Farbod Shokrieh
DTSTART;TZID=America/Los_Angeles:20230522T110000
LAST-MODIFIED:20230516T162540Z
LOCATION:SMI 309
SEQUENCE:186
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-22/general-exam
END:VEVENT
BEGIN:VEVENT
UID:34664da5-d56d-4b1d-92ed-cbeeabc9077a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230518T055241Z
DESCRIPTION:Speaker: Alexis Drouot (University of Washington)\n\nMotivated
by simple lattice models of topological insulators\, I will present an in
triguing investigation of a 2x2 semiclassical Dirac equation. Instead of e
volving according to standard semiclassical principles\, the solutions spl
it in two parts\, one that immediately disperses\, and one that propagates
along a seemingly novel quantum trajectory. This observation is consisten
t with the bulk-edge correspondence\, a principle that describes coarse as
pects of transport in topological insulators. I will finally illustrate th
e results with various numerical simulations. Joint work with Bal\, Becker
\, Fermanian-Kammerer\, Lu and Watson.
DTSTART;TZID=America/Los_Angeles:20230522T143000
DTEND;TZID=America/Los_Angeles:20230522T153000
LAST-MODIFIED:20230518T055241Z
LOCATION:ECE 026
SEQUENCE:187
SUMMARY:: Dirac operators and topological insulators
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-22/dirac-operators-and-topol
ogical-insulators
END:VEVENT
BEGIN:VEVENT
UID:12befb05-b75d-495d-9f85-fa610ada2330
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230516T172105Z
DESCRIPTION:Speaker: Cameron Wright\n\nAdvisor: Farbod Shokrieh
DTSTART;TZID=America/Los_Angeles:20230522T150000
LAST-MODIFIED:20230516T172105Z
LOCATION:THO 211
SEQUENCE:188
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-22/general-exam-0
END:VEVENT
BEGIN:VEVENT
UID:3e1d7182-4f76-4924-b73d-addb60bc13c9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230519T013933Z
DESCRIPTION:Speaker: Vasily Ilin\, University of Washington\n\nThe usual ap
proach to solving the heat equation and its various Fokker-Planck friends
is SDE Monte Carlo simulation. In this talk we will see a (mostly) determi
nistic algorithm that relies on approximating the gradient-log pdf. The ta
lk will feature a little bit of everything except AG: PDEs\, optimal trans
port\, probability\, neural networks\, and algorithms.\nZoom Link: https:/
/washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20230522T163000
DTEND;TZID=America/Los_Angeles:20230522T172000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:189
SUMMARY:: 1-2-3 Seminar: All you need is $\nabla \log u$
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-22/1-2-3-seminar-all-you-nee
d-nabla-log-u
END:VEVENT
BEGIN:VEVENT
UID:0a3f8544-100f-4cbd-a45c-d7c2410faf60
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230518T172450Z
DESCRIPTION:Speaker: Xueying Yu\, University of Washington\n\nThe unique co
ntinuation property is a fundamental concept in the field of partial diffe
rential equations\, which describes propagation of the zeros of solutions
to PDEs. Essentially\, it asks what condition is required to guarantee tha
t if a solution to a PDE vanishes on a certain subset of the spatial domai
n\, then it must also vanish on a larger subset of the domain. In a series
of papers by Escauriaza\, Kenig\, Ponce and Vega\, motivated by Hardy's u
ncertainty principle\, they were able to asked the question from a differe
nt perspective. That is\, they showed that if a linear Schr\”odinger solut
ion decays sufficiently fast at two different times\, the solution must be
trivial. In this talk\, we will discuss unique continuation properties of
solutions to higher-order Schr\'odinger equations and variable-coefficien
t Schr\”odinger equations\, and extend the classical Escauriaza-Kenig-Ponc
e-Vega type of result to these models. This is based on joint works with S
. Federico- Z. Li\, and Z. Lee.
DTSTART;TZID=America/Los_Angeles:20230523T103000
DTEND;TZID=America/Los_Angeles:20230523T112000
LAST-MODIFIED:20230518T202016Z
LOCATION:SMI 307
SEQUENCE:190
SUMMARY:: Some unique continuation results for Schrodinger equations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-23/some-unique-continuation-
results-schrodinger-equations
END:VEVENT
BEGIN:VEVENT
UID:063f6028-903e-4d73-a956-6fa74b540a50
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230516T183625Z
DESCRIPTION:Speaker: Sarafina Ford\n\nAdvisor: James Zhang
DTSTART;TZID=America/Los_Angeles:20230523T123000
LAST-MODIFIED:20230516T183625Z
LOCATION:CMU B-006
SEQUENCE:191
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-23/general-exam
END:VEVENT
BEGIN:VEVENT
UID:59468378-b021-435a-8072-e3ea93d303d8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230112T052245Z
DESCRIPTION:Speaker: Stefano Decio\, University of Minnesota\n\nA Steklov e
igenfunction in a bounded domain is a harmonic function whose normal deriv
ative at the boundary is proportional to the function itself. I will tell
you most of what I know about the zero sets of such functions. A nice fact
is that there are many zeros near the boundary: I will give a gentle proo
f of this in the first part of the talk. In the second\, perhaps a little
less gentle\, part I will discuss some lower and upper bounds for the Haus
dorff measure of the zero set\; several questions remain unanswered. Compa
risons with the (slightly) better understood case of eigenfunctions of the
Laplace-Beltrami operator will also be provided.
DTSTART;TZID=America/Los_Angeles:20230523T133000
DTEND;TZID=America/Los_Angeles:20230523T153000
LAST-MODIFIED:20230509T235226Z
LOCATION:PDL C-401
SEQUENCE:192
SUMMARY:: Zeros of Steklov eigenfunctions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-23/zeros-steklov-eigenfuncti
ons
END:VEVENT
BEGIN:VEVENT
UID:0061ef4b-090c-4e9b-9d22-49a72b1bf7cd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230522T134945Z
DESCRIPTION:Speaker: Eloise Hamilton (University of Cambridge)\n\n\n\n\nPre
talk Title: Fundamentals of Geometric Invariant Theory \nPretalk Abstract:
Geometric Invariant Theory (GIT) is a powerful theory for constructing an
d studying the geometry of moduli spaces in algebraic geometry. In this pr
etalk I will try to give an overview of the fundamentals of GIT. \nTalk Ti
tle: Quotients for linear algebraic group actions via Geometric Invariant
Theory\nTalk Abstract: Given a linear algebraic group acting on a variety\
, finding a suitable quotient in the category of varieties is typically a
non-trivial task. Geometric Invariant Theory (GIT) is a powerful theory fo
r constructing such quotients\, provided the group is reductive. When the
group is unipotent (in particular non-reductive)\, the theory of locally n
ilpotent deviations can be used instead to construct quotients under suita
ble assumptions. After reviewing the reductive and unipotent approaches\,
I will explain how they can be combined into a so-called Non Reductive GIT
which enables the construction of quotients for possibly non-reductive gr
oup actions. Finally (and time permitting) I will list some applications t
o the construction and study of old and new moduli spaces.
DTSTART;TZID=America/Los_Angeles:20230523T143000
LAST-MODIFIED:20230522T134945Z
LOCATION:PDL C-38
SEQUENCE:193
SUMMARY:: Quotients for linear algebraic group actions via Geometric Invari
ant Theory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-23/quotients-linear-algebrai
c-group-actions-geometric-invariant-theory
END:VEVENT
BEGIN:VEVENT
UID:5aa723a0-845d-4f2f-89e8-590586e0789f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230510T230917Z
DESCRIPTION:Speaker: Christy Hazel\, UCLA\n\nGiven a space X we can conside
r the space of ordered configurations of n distinct points from X. When X
is a Euclidean space\, the singular cohomology of these configuration spac
es has rich structure. In this talk we consider configurations of points i
n G-representations where G is a finite group. Such configuration spaces i
nherit an action of the group G\, and we investigate the structure of thei
r equivariant cohomology. We'll start by reviewing the classical computati
ons by Arnold and Cohen to compute the singular cohomology\, and then disc
uss new techniques used to compute the Bredon G-equivariant cohomology. Th
is is joint work with Dan Dugger.\nThere will be a pre-talk aimed at gradu
ate students 2:30-3:15pm\, also in CLK 120 (note the non-standard location
).
DTSTART;TZID=America/Los_Angeles:20230523T153000
DTEND;TZID=America/Los_Angeles:20230523T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:194
SUMMARY:: The cohomology of equivariant configuration spaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-23/cohomology-equivariant-co
nfiguration-spaces
END:VEVENT
BEGIN:VEVENT
UID:ea1f3b44-ecfe-4cf9-9c2d-ff54b1aedf26
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230401T232236Z
DESCRIPTION:Speaker: Rowan Rowlands\, University of Washington\n\nAbstract:
\n\nGiven a polytopal complex \(X\)\, define its \(k\)th co-skeleton to be
the collection of faces of dimension greater than \(k\)\, i.e. the comple
ment of the \(k\)-skeleton. We study some topological aspects of co-skelet
ons\, in particular deriving a long exact sequence that relates the homolo
gies of co-skeletons to the homologies of links. We will apply these ideas
to \(\mathrm{CAT}(0)\) cubical complexes\, and conclude that a \(\mathrm{
CAT}(0)\) cubical complex has some topological properties (e.g. Cohen–Maca
ulayness) if and only if a certain associated simplicial complex\, the cro
ssing complex\, shares these properties.\n\nPlease take note of the earlie
r starting time: This talk begins with a pre-seminar (aimed at graduate st
udents) at 3:30–3:50. The main talk starts at 4:00.\nJoin Zoom Meeting: ht
tps://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230524T153000
DTEND;TZID=America/Los_Angeles:20230524T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:195
SUMMARY:: Combinatorics of CAT(0) cubical complexes\, crossing complexes an
d co-skeletons
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-24/combinatorics-cat0-cubica
l-complexes-crossing-complexes-and-co-skeletons
END:VEVENT
BEGIN:VEVENT
UID:40c4630e-5045-492a-83dc-c739fcaa651f
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20230516T181750Z
DESCRIPTION:Speaker: Rowan Rowlands\n\n'Combinatorics of CAT(0) cubical com
plexes\, crossing complexes and co-skeletons'\nAdvisor: Isabella Novik
DTSTART;TZID=America/Los_Angeles:20230524T160000
LAST-MODIFIED:20230516T181750Z
LOCATION:PDL C-401
SEQUENCE:196
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-24/final-exam
END:VEVENT
BEGIN:VEVENT
UID:4dc9e9d0-5597-42eb-9228-394f8cbb1124
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230307T204034Z
DESCRIPTION:Speaker: Robert McCann (U. Toronto)\n\n\nOn a smooth bounded Eu
clidean domain\, Sobolev-subcritical fast diffusion with vanishing boundar
y trace is known to lead to finite-time extinction\, with a vanishing prof
ile selected by the initial datum. In rescaled variables\, we quantify the
rate of convergence to this profile uniformly in relative error\, showing
the rate is either exponentially fast (with a rate constant predicted by
the spectral gap)\, or algebraically slow (which is only possible in the p
resence of non-integrable zero modes). In the first case\, the nonlinear d
ynamics are well-approximated by exponentially decaying eigenmodes up to a
t least twice the gap\; this refines and confirms a 1980 conjecture of Ber
ryman and Holland. We also improve on more recent results\, by providing a
new and simpler approach which is able to accommodate the presence of zer
o modes\, such as those that occur when the vanishing profile fails to be
isolated (and possibly belongs to a continuum of such profiles).\n\nBased
on work with Beomjun Choi (Postech) and Christian Seis (M\'unster) [80] \n
at http://www.math.toronto.edu/mccann/publications
DTSTART;TZID=America/Los_Angeles:20230524T160000
DTEND;TZID=America/Los_Angeles:20230524T170000
LAST-MODIFIED:20230516T190334Z
LOCATION:PDL C-38
SEQUENCE:197
SUMMARY:: Asymptotics near extinction for nonlinear fast diffusion on a bou
nded domain
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-24/asymptotics-near-extincti
on-nonlinear-fast-diffusion-bounded-domain
END:VEVENT
BEGIN:VEVENT
UID:2c892db8-86bb-4675-836c-8cdf12b88446
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20230516T182940Z
DESCRIPTION:Speaker: Smart Thep\n\n'\$Theta\$-completeness of the classifyi
ng stack BG'\nAdvisor: Jarod Alper
DTSTART;TZID=America/Los_Angeles:20230525T100000
LAST-MODIFIED:20230525T010647Z
LOCATION:PDL C38
SEQUENCE:198
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-25/final-exam
END:VEVENT
BEGIN:VEVENT
UID:e5682549-5f5d-4fd5-ae16-44af0636c0a3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230522T164621Z
DESCRIPTION:Speaker: Garrett Mulcahy\, University of Washington\n\nMotivate
d by the problem of entropic regularized optimal transport\, this exposito
ry talk will start by introducing relative entropy (also known as Kullback
-Liebler divergence\, I-divergence)\, a notion of distance on the space of
probability distributions. Although relative entropy does not define a me
tric on this space\, in some instances it functions in analogy to squared
Euclidean distance\; for example\, we can develop a notion of projection a
nd even a Pythagorean theorem. We will follow a 1975 paper by Csiszar titl
ed 'I-Divergence Geometry of Probability Distributions and Minimization Pr
oblems' for these statements and more. This notion of projection leads to
quantities of interest to optimal transport\, a connection we will emphasi
ze. If time permits\, we will conclude by introducing an algorithm for obt
aining these quantities called the iterative proportional fitting procedur
e (IPFP).
DTSTART;TZID=America/Los_Angeles:20230525T123000
DTEND;TZID=America/Los_Angeles:20230525T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:199
SUMMARY:: Relative Entropy with Connections to Optimal Transport
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-25/relative-entropy-connecti
ons-optimal-transport
END:VEVENT
BEGIN:VEVENT
UID:67e1099a-ece4-4877-af63-18a7937ba66d
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions\, Student Activities
CLASS:PUBLIC
CREATED:20230515T223224Z
DESCRIPTION:Speaker: Catherine Babecki\, Marty Bishop\, Kevin Chien\, and X
ueying Yu\n\nThe focus of this panel is on how to start applying for acade
mic jobs\, specifically research postdocs and teaching at the college leve
l. This includes finding letters of recommendation\, writing research/teac
hing statements\, and the logistics of the applications. The deadlines com
e up early in the Fall so you might want to start thinking about it now if
you are getting close to finishing.\nPanelists will include Catherine Bab
ecki\, Marty Bishop\, Kevin Chien\, Xueying Yu. Everyone is welcome to
join\, ask questions and contribute to the discussion. Others who have
recently applied are especially encouraged to attend and share some though
ts on the process. \nZoom option: https://washington.zoom.us/j/945295855
63
DTSTART;TZID=America/Los_Angeles:20230525T160000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:200
SUMMARY:: Career Transitions: Academic Jobs Panel
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-25/career-transitions-academ
ic-jobs-panel
END:VEVENT
BEGIN:VEVENT
UID:d6721058-5bfd-4aab-b136-2b796804ab7d
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230522T173329Z
DESCRIPTION:Speaker: Ignacio Tejeda\n\nAdvisor: Tatiana Toro
DTSTART;TZID=America/Los_Angeles:20230526T113000
LAST-MODIFIED:20230522T173329Z
LOCATION:THO 325
SEQUENCE:201
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-26/general-exam-0
END:VEVENT
BEGIN:VEVENT
UID:df72b4be-4535-4bb9-97f9-f0041373a500
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230519T193610Z
DESCRIPTION:Speaker: Emily Casey\n\nAdvisor: Tatiana Toro
DTSTART;TZID=America/Los_Angeles:20230526T150000
LAST-MODIFIED:20230519T193610Z
LOCATION:PDL C-38
SEQUENCE:202
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-26/general-exam
END:VEVENT
BEGIN:VEVENT
UID:387b596b-c42b-41c9-b1ee-366e5c93174f
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20230418T210228Z
DESCRIPTION:Speaker: Lars Kühne\, University of Copenhagen\n\nDiophantine g
eometry is a modern-day incarnation of mathematicians' perennial interest
in solving algebraic equations in integers. Its fundamental idea is to stu
dy the geometric objects defined by algebraic equations in order to unders
tand their integral solutions ('geometry determines arithmetic'). One of i
ts major achievements\, Faltings' theorem\, states that a large class of a
lgebraic equations has only finitely many primitive integral solutions\, n
amely those associated with smooth\, proper curves of genus > 1. In the la
st few years\, work by Dimitrov\, Gao\, Habegger\, and myself led to rathe
r 'uniform' bounds on the number of these solutions. Using specialization
techniques\, these results yield also purely geometric statements like the
uniform Mordell-Lang conjecture over a field of characteristic 0. If time
allows\, I will conclude with an outlook on unlikely intersection problem
s in multiplicative groups.
DTSTART;TZID=America/Los_Angeles:20230526T153000
LAST-MODIFIED:20230510T230454Z
LOCATION:ECE 125
SEQUENCE:203
SUMMARY:: Uniformity in Diophantine Geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-26/uniformity-diophantine-ge
ometry
END:VEVENT
BEGIN:VEVENT
UID:d8dbe3a5-6646-4250-95e1-e1b9fc7ef562
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230125T184022Z
DESCRIPTION:Speaker: Mouhamadou Sy\, Johns Hopkins University\n\nAbstract:
The theory of supercritical evolution PDEs remains mostly unknown in its b
asic questions (global existence\, uniqueness\, regularity). In this talk
we present some results regarding these questions in the context of the tw
o following models: the nonlinear Schrodinger equation (NLS)\, and the ge
neralized SQG equations (gSQG). The proof of almost sure global well posed
ness relies on the Inviscid-Infinite dimensional limit (IID limit) approac
h. The IID limit can be seen as an independent method that relies on a com
bination of Bourgain's invariant measure argument and Kuksin's fluctuation
-dissipation approach. Some parts of this work were carried out in collabo
ration with Xueying Yu and with Juraj Foldes.
DTSTART;TZID=America/Los_Angeles:20230530T133000
DTEND;TZID=America/Los_Angeles:20230530T153000
LAST-MODIFIED:20230523T162853Z
LOCATION:PDL C-401
SEQUENCE:204
SUMMARY:: Probabilistic global flows for supercritical PDEs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-30/probabilistic-global-flow
s-supercritical-pdes
END:VEVENT
BEGIN:VEVENT
UID:bcc0fbb1-7a42-433e-9631-30c0bf0ed316
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230529T025058Z
DESCRIPTION:Speaker: Giovanni Inchiostro (UW)\n\n\n\n\nTitle pretalk: Modul
i spaces and Kontsevich stable maps\nAbstract pretalk: During this pretalk
I will talk about moduli spaces\, with a special emphasis on moduli space
s of Kontsevich-stable maps.\n \nTitle talk: Degenerations of twisted maps
to algebraic stacks\nAbstract talk: Assume that one has a family of nodal
curves over the punctured disc \, with a morphism to an algebraic stack
with a projective good moduli space. I will explain how one can\, up to
replacing the punctured disc with a ramified cover of it\, compactify this
family to a family of nodal (twisted) curves over the whole disc \, in a
way such that the generic morphism extends to .\n\n\nFor example\, in the
case where \, this gives a recipe to extend fibrations in Brauer-Severi v
arieties\, whereas for this gives a way to extend families of line bundle
s with a section. The talk is based on a joint work with Andrea Di Lorenzo
.
DTSTART;TZID=America/Los_Angeles:20230530T143000
LAST-MODIFIED:20230529T025117Z
LOCATION:PDL C-38
SEQUENCE:205
SUMMARY:: Degenerations of twisted maps to algebraic stacks
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-30/degenerations-twisted-map
s-algebraic-stacks
END:VEVENT
BEGIN:VEVENT
UID:f2b22a60-4082-45f1-bf75-7e053536d4e6
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230523T162007Z
DESCRIPTION:Speaker: Ben Williams\, UBC\n\nAn Azumaya algebra of degree \(n
\) on a ringed space \(X\) is a bundle of algebras that are locally isomor
phic to the algebra of \(n\times n\) matrices. These generalize central si
mple algebras over fields. In this talk\, I will concentrate on the topolo
gical case where \(X\) is a CW complex.An involution of an algebra is an a
dditive automorphism of order 2 that reverses multiplication. At one extre
me\, involutions of the first kind fix \(X\). At the other\, involutions o
f the second kind act freely on \(X\). In between\, there are many example
s of involutions that are of neither kind.In this talk\, I will construct
such examples and describe how we may classify them.This work is part of a
joint project with Uriya First.
DTSTART;TZID=America/Los_Angeles:20230530T153000
DTEND;TZID=America/Los_Angeles:20230530T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:206
SUMMARY:: Involutions of (Topological) Azumaya Algebras
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-30/involutions-topological-a
zumaya-algebras
END:VEVENT
BEGIN:VEVENT
UID:09ef93cf-03d4-4d23-90b5-cb863a4d443d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230401T232353Z
DESCRIPTION:Speaker: Zajj Daugherty\, Reed College\n\nAbstract:\nThe two bo
undary Temperley-Lieb algebra arises originally in the transfer matrix for
mulation of lattice models in Statistical Mechanics\, via the introduction
of integrable boundary terms to the six-vertex model. Algebraically\, it
is presented as a diagram algebra consisting of certain planar diagrams si
milar to classic Temperley-Lieb diagrams\; as a quotient of a two-pole bra
id group algebra\; and as a quotient of a type C affine Hecke algebra. It
also has a natural action on tensor space giving a Schur-Weyl duality with
the quantum group \$U_q gl_2\$. This all comes together to provide many c
ombinatorial ways of encoding the representations of this beautiful algebr
a\, which we will explore in this talk. \n \nNote: This talk begins with a
pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk star
ts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Me
eting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20230531T153000
DTEND;TZID=America/Los_Angeles:20230531T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:207
SUMMARY:: Combinatorics of two-boundary Temperley-Lieb algebras
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-05-31/combinatorics-two-boundar
y-temperley-lieb-algebras
END:VEVENT
BEGIN:VEVENT
UID:57a419d3-8513-4b7f-bcd6-b632de9cc708
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20230531T220442Z
DESCRIPTION:Speaker: Xiangqian Meng\, University of Washington\n\nThe exten
sion method transforming the problem of fractional Laplacian \$(-\Delta)^{
1/2}\$ to classical Laplacian PDE is a quite well-known approach in dealin
g with problems with fractional Laplacian. In this talk\, I will introduce
the paper by Caffarelli and Silvestre in the dealing with fractional with
general powers \$s \in (0\,1)\$ of fractional Laplacian and also some rel
ated properties of integral differential operators and related obstacle pr
oblems using this argument.
DTSTART;TZID=America/Los_Angeles:20230601T123000
DTEND;TZID=America/Los_Angeles:20230601T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:208
SUMMARY:: An extension problem for the fractional Laplacian
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-01/extension-problem-fractio
nal-laplacian
END:VEVENT
BEGIN:VEVENT
UID:ab32b5f4-dc8e-45a2-bf13-f7b154f6791a
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230522T173102Z
DESCRIPTION:Speaker: Caelan Ritter\n\nAdvisor: Farbod Shokrieh
DTSTART;TZID=America/Los_Angeles:20230601T143000
LAST-MODIFIED:20230522T173102Z
LOCATION:PDL C38
SEQUENCE:209
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-01/general-exam
END:VEVENT
BEGIN:VEVENT
UID:5ce5ca49-8a90-4b90-afcf-2d3b3e6bc7a1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230531T152423Z
DESCRIPTION:Speaker: Alice Pozzi\, University of Bristol\n\nThe theory of e
lliptic curves with complex multiplication has yielded some striking arith
metic applications. Classically\, Kronecker tackled the problem of constru
cting abelian extensions of imaginary quadratic fields\, known as the 'Kro
necker Jugendtraum'\, via singular moduli\, values of modular functions at
imaginary quadratic points of the complex upper half plane. The theory o
f complex multiplication is also employed in the construction of Heegner p
oints\, global points on elliptic curves playing a crucial role in the pro
of of the Birch and Swinnerton-Dyer Conjecture in rank 1.\n\nIn recent yea
rs\, Darmon and collaborators have proposed a (conjectural) theory of 'rea
l multiplication' relying on p-adic methods. In particular\, conjectural a
nalogues of Heegner points and singular moduli for real quadratic fields h
ave been obtained exploiting the geometry of the Drinfeld p-adic upper hal
f plane. \nIn this talk\, I will discuss aspects of the theory of complex
multiplication and compare them with their analogues for real quadratic f
ields. I will then present a result confirming the conjectural properties
of singular moduli in a special case.
DTSTART;TZID=America/Los_Angeles:20230606T110000
DTEND;TZID=America/Los_Angeles:20230606T120000
LAST-MODIFIED:20230531T152423Z
LOCATION:PDL C-38
SEQUENCE:210
SUMMARY:: Towards a theory of real multiplication
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-06/towards-theory-real-multi
plication
END:VEVENT
BEGIN:VEVENT
UID:8251560d-b402-4234-98d3-4089c407d5cb
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20230525T155342Z
DESCRIPTION:Speaker: Catherine Babecki\n\n'The Polyhedral Geometry of Graph
ical Designs'\nAdvisor: Rekha Thomas
DTSTART;TZID=America/Los_Angeles:20230606T133000
LAST-MODIFIED:20230525T155342Z
LOCATION:CMU 230
SEQUENCE:211
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-06/final-exam
END:VEVENT
BEGIN:VEVENT
UID:a06f62ea-49b7-4265-ab7b-d9075c311f87
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213513Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
ACMS - Pal\n\n\nCommittee Reports \n\nGraduate Program - Lieblich\nUndergr
aduate Program - Taggart\nAppointments - Viray\n\n\nNew Business\nExecutiv
e Session\nAdjournment\n\nMINUTES\nThe regular meeting of the faculty of t
he Department of Mathematics was held virtually via Zoom at 3:30pm PST\, J
une 6\, 2023. John Palmieri\, Chair\, presided at the meeting. Rose Choi w
as recording secretary.\nThe meeting began with approval of the previous m
eeting’s minutes.\nChair's Remarks\nThe end-of-quarter beer bash will be h
eld on June 9th at 3:30pm in HUB 145. This event will celebrate our gradua
ting Masters and PhDs so please attend if you can. There are also graduati
on celebrations for our Math undergrads and ACMS on June 8th at 11am and 1
pm\, respectively\, at the Gates Center for Computer Science and Engineeri
ng (G20).\nThere may be a postdoc strike tomorrow. If a strike will affect
your work in any way\, please contact the chair\, Jenni\, Max\, and Sarah
for guidance.\nCalculus class sizes will increase next year. Teaching-str
eam faculty will be teaching six courses next year as opposed to seven fro
m previous years. Tenure-stream faculty work on a teaching credit system w
hich will be adjusted from 3.05 to 2.6 (approx. 4 courses down to 3.5).\nA
s a reminder\, per the faculty code\, all voting faculty make merit recomm
endations for non-voting faculty (in our case\, part-time lecturers)\; all
associate and full professors make merit recommendations for assistant pr
ofessors (both teaching- and tenure-stream)\; and all full professors make
merit recommendations for associate professors (both teaching- and tenure
-stream). Postdocs are evaluated on a separate criteria.\nThis year we rec
eived a 4% salary pool of which 3% must be given to meritorious faculty. T
he remaining 1% is\, for the most part\, at the department’s discretion. T
he Personnel Committee has voted to provide a 3.5% raise to all meritoriou
s faculty and split the remaining amount evenly among faculty who were exc
luded from the last three years of raise cycles.\nAnnouncements\nThe Appli
ed and Computational Mathematical Sciences (ACMS) program is a multidiscip
linary Bachelor of Science degree program in the College of Arts and Scien
ces\, offered jointly by the Departments of Applied Mathematics\, Mathemat
ics\, Statistics and the Paul G. Allen School of Computer Science and Engi
neering. It remains one of the most competitive majors on campus admitting
roughly 40-50 students per cycle (twice a year). ACMS is run by a steerin
g committee from all four departments under one director every three years
(currently Soumik Pal). Their curriculum has been recently revised (last
updated in the 90s) to streamline the tracks\, update outdated courses and
admission requirements\, and offer more relevant course choices for stude
nts. They anticipate this new curriculum to roll out in Spring 2024.\nComm
ittee Reports\nThe Graduate Program Committee proposes the following polic
y changes:\n\nPrelims to be replaced with a Writing Milestone due by end o
f second year\nCore courses will have higher expectations with the expecta
tion that instructors report to the Graduate Program Committee with a slig
htly more uniform grading scale (there will be no appreciable increase in
faculty labor)\nStudents will be expected to take seven core quarters over
two years (five in year one) with exceptions to be granted by the GPC in
consultation with the committee and core course instructors\n\nNon-policy
recommendations are:\n\nEncourage general exams at earliest feasible date
\nEncourage students to assemble more than one mentor early on\n\nA vote w
as held\, passed\, and approved.\nThe Undergraduate Program Committee prop
oses updating the requirements for a teaching endorsement in Mathematics f
or students in the College of Education’s Master’s in Teaching Program (bo
th middle and secondary level).\nFor the middle level endorsement\, the pr
oposed changes are:\n\nOption I: Add a statistics course worth 3-5 credits
and MATH 444 (geometry) worth 3 credits to the requisite coursework bring
ing the total from 20 to 26-28 credits.\nOption II: Add a math minor or ma
jor with specific coursework in stats/probability and geometry (determined
on a case-by-case basis)\nOption III: Require extensive prior experience
in teaching mathematics (determined on a case-by-case basis)\n\nFor the se
condary level endorsement\, they propose a minimum of 50 credits (increase
d from 39-40)\, including 33-35 credits from:\n\nMATH 124\, 125\, 126\nMAT
H 208\nMATH 300\nMATH 394\nBasic statistics course\nMATH 444\nOne of MATH
301\, 402\, or 411\n\nThe committee also proposes the following:\n\nChange
the prereq for MATH 126 to a minimum grade of 2.0 in MATH 125 or 134\, or
a score of 4 on BC advanced placement test\nChange the admission requirem
ent for the Math Major to a minimum 2.0 grade in each course within either
of these two groups (Group A: MATH 124\, 125\, 126\, 300\; or Group B: MA
TH 134\, 135\, 136) along with an overall minimum 2.50 GPA in all mathemat
ics courses (all courses must be completed at the time of application and
cannot be “in-progress”)\n\nThese new admissions requirements would go int
o effect Fall 2024 with an announcement and coordination of MATH 300 secti
ons in Fall 2023.\nA vote for the teaching endorsement updates\, the chang
es to the prereq for MATH 126\, and the changes to the admissions req for
the math major were held\, passed\, and approved.\nThe Appointments Commit
tee has reworked the axes presented at the last meeting. The first round e
valuates the publication quality and community recognition of research\, t
he second round looks at research (independence/innovation and mentorship/
leadership)\, and the third round looks at collegiality/service\, diversit
y\, and classroom teaching. The timeline goal for the interviews will be b
efore the end of winter quarter with offers going out soon thereafter.\nAD
JOURNMENT\nThere being no new business\, the meeting passed into executive
session at 5:08pm.
DTSTART;TZID=America/Los_Angeles:20230606T153000
LAST-MODIFIED:20231017T233749Z
LOCATION:Zoom
SEQUENCE:212
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-06/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:b5bf66b3-75dd-4238-bab9-54219234e0f6
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230530T163113Z
DESCRIPTION:Speaker: Carlos Rivera\n\nAdvisor: Bianca Viray
DTSTART;TZID=America/Los_Angeles:20230607T100000
LAST-MODIFIED:20230530T163113Z
LOCATION:CMU 243
SEQUENCE:213
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-07/general-exam
END:VEVENT
BEGIN:VEVENT
UID:8a250d5f-c384-4ce1-a1e5-14e829c4ca63
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20230518T152344Z
DESCRIPTION:Speaker: Mark Bennett\n\n'Computations Related to the Construct
ion of Finite Genus Solutions to the Kadomtsev-Petviashvili Equation'\nAdv
isors: Bernard Deconinck and Ken Bube
DTSTART;TZID=America/Los_Angeles:20230608T090000
LAST-MODIFIED:20230518T152344Z
LOCATION:Lewis 208
SEQUENCE:214
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-08/final-exam
END:VEVENT
BEGIN:VEVENT
UID:cf6f3350-f548-49be-9336-b534172a74df
DTSTAMP:20241102T084548Z
CATEGORIES:Ceremonies\, Special Events
CLASS:PUBLIC
CREATED:20230313T215905Z
DESCRIPTION:RSPVP/Registration is required. The RSVP form will open May 1 a
nd close May 21.
DTSTART;TZID=America/Los_Angeles:20230608T110000
DTEND;TZID=America/Los_Angeles:20230608T123000
LAST-MODIFIED:20230313T215932Z
LOCATION:Bill and Melinda Gates Center for Computer Science and Engineering
(CSE2)\, Room G20
SEQUENCE:215
SUMMARY:: Math Department Undergraduate Graduation Celebration
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-08/math-department-undergrad
uate-graduation-celebration
END:VEVENT
BEGIN:VEVENT
UID:1e8f3213-9800-48ea-ba0a-2a01a5288bb9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230607T071519Z
DESCRIPTION:Speaker: Ravi Shankar (Princeton U.)\n\nThe sigma-k equations a
re fully nonlinear elliptic PDEs with sigma-1 the Laplacian and sigma-n th
e Monge-Ampere equation. Pogorelov's result in the 1970's established tha
t sigma-3+ equations have singular solutions. With Yu Yuan\, we find a He
ssian estimate and interior regularity for solutions of the sigma-2 equati
on in dimension four. In higher dimensions\, we show partial regularity a
nd derive a Hessian estimate for solutions satisfying dynamic semi-convexi
ty. The dimension two case of the Monge-Ampere equation was done by Heinz
in the 1950's. The dimension three case was done 15 years ago by Warren
and Yuan using its minimal surface structure\, which is absent in higher d
imensions. Our approach synthesizes several PDE ingredients.
DTSTART;TZID=America/Los_Angeles:20230612T160000
DTEND;TZID=America/Los_Angeles:20230612T170000
LAST-MODIFIED:20230607T071519Z
LOCATION:PDL C-38
SEQUENCE:216
SUMMARY:: The sigma-2 equation in dimension four
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-12/sigma-2-equation-dimensio
n-four
END:VEVENT
BEGIN:VEVENT
UID:e34e5d04-0453-4303-8d55-cee2264df129
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20230622T225119Z
DESCRIPTION:Speaker: Kevin Chien\n\nAdvisor: Gunther Uhlmann\n'An inverse p
roblem for fractional connection Laplacians'
DTSTART;TZID=America/Los_Angeles:20230623T100000
LAST-MODIFIED:20230622T225119Z
LOCATION:PDL C38
SEQUENCE:217
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-23/final-exam-0
END:VEVENT
BEGIN:VEVENT
UID:a63a4aa9-afc9-4ba7-9e0c-e6df9063433e
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20230620T022803Z
DESCRIPTION:Speaker: Kevin Chien\n\nAdvisor: Gunther Uhlmann
DTSTART;TZID=America/Los_Angeles:20230623T100000
DTEND;TZID=America/Los_Angeles:20230623T110000
LAST-MODIFIED:20230620T022803Z
LOCATION:PDL C-38
SEQUENCE:218
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-23/final-exam
END:VEVENT
BEGIN:VEVENT
UID:70e45c90-b66a-4177-a8c2-d7eed4784892
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Special Events
CLASS:PUBLIC
CREATED:20230626T021255Z
DESCRIPTION:Speaker: Viktor Korotynskiy\, Czech Institute for Informatics a
nd Cybnernetics at Czech Technical University in Prague\n\n\n\nGalois/mono
dromy groups attached to parametric systems of polynomial equations provid
e a method for detecting the existence of symmetries in solution sets. Bey
ond the question of existence\, one would like to compute formulas for the
se symmetries\, towards the eventual goal of solving the systems more effi
ciently. I will describe one possible approach to this task using numerica
l homotopy continuation and multivariate rational function interpolation.
I will illustrate this approach on practical examples of minimal problems
in computer vision. Since minimal problems in computer vision are represen
ted by polynomial systems with a lot of variables (more than 30 including
the parameters)\, the straightforward dense multivariate interpolation is
problematic for even small degrees since it generates large Vandermonde ma
trices. I will show that minimal problems in computer vision have a lot of
scaling symmetries (in both unknowns and parameters) and explain how they
can be used to significantly reduce the size of Vandermonde matrices when
interpolating the symmetries that fix the parameters. This is joint work
with Timothy Duff\, Tomas Pajdla and Margaret Regan.
DTSTART;TZID=America/Los_Angeles:20230627T110000
DTEND;TZID=America/Los_Angeles:20230627T120000
LAST-MODIFIED:20230626T205337Z
LOCATION:PDL C-401
SEQUENCE:219
SUMMARY:: Using monodromy to recover symmetries of polynomial systems (Spec
ial seminar talk)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-06-27/using-monodromy-recover-s
ymmetries-polynomial-systems-special-seminar-talk
END:VEVENT
BEGIN:VEVENT
UID:cebcd71a-4fa1-45db-b9ad-16c2c400a4d0
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230721T230904Z
DESCRIPTION:Speaker: Rainie Heck\n\nAdvisor: Thomas Rothvoss
DTSTART;TZID=America/Los_Angeles:20230731T100000
LAST-MODIFIED:20230721T230931Z
LOCATION:Zoom
SEQUENCE:220
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-07-31/general-exam
END:VEVENT
BEGIN:VEVENT
UID:43a80caf-cf1d-46a8-a8c6-ee4825dbb076
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230814T184951Z
DESCRIPTION:Speaker: Daomin CAO (Academy of Mathematics and Systems Scienc
e\, Chinese Academy of Sciences)\n\nIn this talk the speaker will talk ab
out some results on solutions for incompressible Euler equation. In partic
ular those solutions whose vorticities are large and concentrated uniforml
y near a smooth curve \$ Γ(t) \$ embedded in entire \$R^3\$. This type of
solutions\, vortex filaments\, are classical objects of fluid dynamics. Un
der suitable assumptions it is known to some extent that the curve evolves
by its binormal flow. Two special kinds of binormal flows are traveling c
ircle and rotating-translating helix. Solutions concentrating near a trave
ling circle is called vortex ring which have been studied extensively. In
this talk\, we will present existence of solutions near rotating-translati
ng helix. The general case is called vortex filament conjecture which is s
till a well-known open problem. This talk is based on a joint paper with W
an Jie at Beijing University of Technology.
DTSTART;TZID=America/Los_Angeles:20230818T150000
DTEND;TZID=America/Los_Angeles:20230818T160000
LAST-MODIFIED:20230814T200006Z
LOCATION:PDL C-38
SEQUENCE:221
SUMMARY:: Helical symmetry solutions for 3D incompressible Euler equations
in an infinite cylinder
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-08-18/helical-symmetry-solution
s-3d-incompressible-euler-equations-infinite-cylinder
END:VEVENT
BEGIN:VEVENT
UID:7ac3eef1-855e-4df6-8595-c09ef4958a71
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230823T174952Z
DESCRIPTION:Speaker: Elden Elmanto\, University of Toronto\n\nThe Quillen-L
ichtenbaum conjecture\, now proved by Rost and Voevodsky\, in particular a
sserts that the algebraic K-theory of a smooth C-scheme is equivalent to i
ts topological K-theory in a range. In joint work with Nick Addington\, we
turned this number into a birational invariant which has the advantage th
at it is defined for dg-categories and is thus a Morita invariant. I will
explain some examples and computations of this birational invariant and it
s connections with the so-called 'cofiber of tau' in motivic homotopy theo
ry.
DTSTART;TZID=America/Los_Angeles:20230825T153000
DTEND;TZID=America/Los_Angeles:20230825T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:222
SUMMARY:: Edges of the Quillen-Lichtenbaum range and birational geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-08-25/edges-quillen-lichtenbaum
-range-and-birational-geometry
END:VEVENT
BEGIN:VEVENT
UID:781a85a5-84e7-4126-aade-1756adc2dd4e
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20230626T220804Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\nCo
mmittee Reports\nNew Business\nExecutive Session\nAdjournment
DTSTART;TZID=America/Los_Angeles:20230926T110000
LAST-MODIFIED:20230925T012226Z
LOCATION:PDL C-38
SEQUENCE:223
SUMMARY:: CANCELED: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-09-26/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:e3255ea8-2276-4135-8ce5-78d653638662
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230919T031804Z
DESCRIPTION:Speaker: Felix Rydell\n\nWe present a generalization of multivi
ew varieties as closures of images obtained by projecting subspaces of a g
iven dimension onto several views\, from the photographic and geometric po
ints of view. Motivated by applications of these varieties in computer vis
ion for calibration of cameras and triangulation of world features\, we in
vestigate set-theoretic descriptions and when the associated projection ma
p is generically injective\; an essential requirement for successful trian
gulation.
DTSTART;TZID=America/Los_Angeles:20230927T160000
DTEND;TZID=America/Los_Angeles:20230927T170000
LAST-MODIFIED:20230919T031920Z
LOCATION:CMU B-006
SEQUENCE:224
SUMMARY:: Generalized Multiview Varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-09-27/generalized-multiview-var
ieties
END:VEVENT
BEGIN:VEVENT
UID:3818fb40-4a32-4c71-bd10-0112fd61026a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230428T214732Z
DESCRIPTION:Speaker: Alicia Lamarche (Utah)\n\n\n\nMain talk (2:30pm)\nTitl
e: Root systems\, moduli spaces\, and derived categoriesAbstract: Based on
ongoing work with Aaron Bertram\, in this talk we will explore properties
of toric varieties constructed from root systems\, their moduli space int
erpretations due to Losev-Manin and Batyrev-Blume\, and decompositions of
their bounded derived categories of coherent sheaves.\n\nPre-talk (1:45pm)
\n\nTitle: Derived Categories?\nAbstract: This pre-talk is intended as a l
ight introduction to derived categories. We will discuss what they are\, w
hy I care about them\, and how they can be useful in the context of number
theory and birational geometry.
DTSTART;TZID=America/Los_Angeles:20231003T143000
LAST-MODIFIED:20230927T055101Z
LOCATION:PDL C-38
SEQUENCE:225
SUMMARY:: Root systems\, moduli spaces\, and derived categories
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-03/root-systems-moduli-space
s-and-derived-categories
END:VEVENT
BEGIN:VEVENT
UID:55088274-4a7c-40f4-ac54-6b12c2348af9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T183153Z
DESCRIPTION:Speaker: Josh Hinman\, University of Washington\n\nAbstract:\nP
icture your favorite \$d\$-dimensional polytope. It has faces of every dim
ension below \$d\$: zero-dimensional vertices\, one-dimensional edges\, tw
o-dimensional polygons\, and so on. Counting the faces of each dimension y
ields a list of face numbers. For example\, a \$3\$-cube has face numbers
\$(8\, 12\, 6)\$: eight vertices\, twelve edges\, and six facets.What inte
ger tuples can arise as the face numbers of a polytope? Geometric methods
may help us answer this question. In my talk\, I'll discuss what we can le
arn about the face numbers of polytopes from their geometric properties--s
pecifically\, their angles. I'll present a set of tight linear inequalitie
s on face numbers\, answering a 1997 question of Bárány.\nNote: This talk
begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The m
ain talk starts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/
91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231004T153000
DTEND;TZID=America/Los_Angeles:20231004T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:226
SUMMARY:: Face Numbers and Angles of Polytopes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-04/face-numbers-and-angles-p
olytopes
END:VEVENT
BEGIN:VEVENT
UID:1694f27f-687a-4c5f-a796-58a6ead67ede
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20230920T181600Z
DESCRIPTION:Speaker: Josh Hinman\n\nAdvisor: Isabella Novik
DTSTART;TZID=America/Los_Angeles:20231004T160000
LAST-MODIFIED:20230920T181600Z
LOCATION:PDL C-401
SEQUENCE:227
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-04/general-exam
END:VEVENT
BEGIN:VEVENT
UID:08b65afc-83a1-489f-bc96-144af8232f5b
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions\, Seminars
CLASS:PUBLIC
CREATED:20230929T000218Z
DESCRIPTION:Speaker: Sara Billey\n\nThis is a supportive gathering to share
ideas and information about the job application process and to encourage
camaraderie. The lunch is open only to students who are currently applyin
g for jobs and/or planning to graduate this year. Faculty are also welcom
e to come and share insight into the process. Bring your own lunch. See
the talk in November aimed at transition to research if just want a feeli
ng for what comes next.
DTSTART;TZID=America/Los_Angeles:20231005T120000
DTEND;TZID=America/Los_Angeles:20231005T130000
LAST-MODIFIED:20230929T000359Z
LOCATION:PDL Lounge
SEQUENCE:228
SUMMARY:: Jobs Lunch
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-05/jobs-lunch
END:VEVENT
BEGIN:VEVENT
UID:b7200f2b-2e52-4ee1-80fa-82cb682d1d6a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231003T191252Z
DESCRIPTION:Speaker: Albert Artiles\, Ryan Bushling\, Emily Casey\, Linhang
Huang\, Jack Kendrick\, Garrett Mulcahy\, Jacob Ogden\n\nGraduate student
s in analysis will each present a 5 minute lightning talk on their researc
h.
DTSTART;TZID=America/Los_Angeles:20231005T123000
DTEND;TZID=America/Los_Angeles:20231005T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:229
SUMMARY:: Lightning Talks in Analysis
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-05/lightning-talks-analysis
END:VEVENT
BEGIN:VEVENT
UID:7a221755-a79e-4a80-b162-522780f51a75
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230929T225530Z
DESCRIPTION:Speaker: Bianca Viray\n\nLet C be an algebraic curve over Q\, i
.e.\, a 1-dimensional complex manifold defined by polynomial equations wit
h rational coefficients. A celebrated result of Faltings implies that all
algebraic points on C come in families of bounded degree\, with finitely
many exceptions. These exceptions are known as isolated points. We explore
how these isolated points behave in families of curves and deduce consequ
ences for the arithmetic of elliptic curves. This talk is on joint work wi
th A. Bourdon\, Ö. Ejder\, Y. Liu\, and F. Odumodu.\nThis talk will be sui
table for a general audience.
DTSTART;TZID=America/Los_Angeles:20231005T163000
DTEND;TZID=America/Los_Angeles:20231005T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:230
SUMMARY:: Isolated points on curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-05/isolated-points-curves
END:VEVENT
BEGIN:VEVENT
UID:79a123f9-2e9e-4e6e-b9f1-051ad4dba251
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20230922T221457Z
DESCRIPTION:Speaker: Hannah Larson (University of California\, Berkeley)\n
\nThe moduli space \M_g of genus g curves (or Riemann surfaces) is a centr
al object of study in algebraic geometry. Its cohomology is important in m
any fields. For example\, the cohomology of M_g is the same as the cohomol
ogy of the mapping class group\, and is also related to spaces of modular
forms. Using its properties as a moduli space\, Mumford defined a distingu
ished subring of the cohomology of M_g called the tautological ring. The d
efinition of the tautological ring was later extended to the compactificat
ion \M_g-bar and the moduli spaces with marked points \M_{g\,n}-bar. While
the full cohomology (or Chow) ring of \M_{g\,n}-bar is quite mysterious\,
the tautological subring is relatively well understood\, and conjecturall
y completely understood. In this talk\, I will address the question: for w
hich g and n does the tautological subring coincide with the full cohomolo
gy (or Chow) ring? In joint work with Samir Canning\, we answer several ne
w cases of this question.
DTSTART;TZID=America/Los_Angeles:20231006T153000
LAST-MODIFIED:20230929T223611Z
LOCATION:ECE 125
SEQUENCE:231
SUMMARY:: Intersection theory of moduli spaces of curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-06/intersection-theory-modul
i-spaces-curves
END:VEVENT
BEGIN:VEVENT
UID:e4b93e41-0382-4913-8b33-1d1ed04897bd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230923T231036Z
DESCRIPTION:Speaker: Yang Yu\, University of Washington\n\nTime change is o
ne of the most basic and useful transformations for Markov processes. In t
his talk\, we present a general approximation scheme to the time-changed B
rownian motion by the positive continuous additive functional associated w
ith any Radon measure that does not charge zero capacity sets and has full
quasi support. With some mild conditions on the Radon measure\, point-wis
e starting approximation can be established. The convergence is shown in t
he Skorokhod topology. This talk is based on a joint work with Zhen-Qing C
hen.
DTSTART;TZID=America/Los_Angeles:20231009T143000
DTEND;TZID=America/Los_Angeles:20231009T152000
LAST-MODIFIED:20230923T231036Z
LOCATION:SMI 305
SEQUENCE:232
SUMMARY:: Approximation of Time-changed Brownian motion
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-09/approximation-time-change
d-brownian-motion
END:VEVENT
BEGIN:VEVENT
UID:7874c2d7-7b8c-4dc1-b4ab-bd8b3c1ef630
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230825T033311Z
DESCRIPTION:Speaker: James Rickards\, University of Colorado\, Boulder\n\n
I will describe new obstructions found for Apollonian circle packings\, wh
ich contradicts the local-global conjecture for many configurations. These
obstructions come from quadratic and quartic reciprocity\, and we expect
similar obstructions to exist in other thin group orbits. Based on computa
tional evidence\, a new conjecture is formulated. This is joint work with
Summer Haag\, Clyde Kertzer\, and Katherine E. Stange.
DTSTART;TZID=America/Los_Angeles:20231010T110000
DTEND;TZID=America/Los_Angeles:20231010T115000
LAST-MODIFIED:20230825T033311Z
LOCATION:PDL C-401
SEQUENCE:233
SUMMARY:: The not-so-local-global conjecture
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-10/not-so-local-global-conje
cture
END:VEVENT
BEGIN:VEVENT
UID:2f8ad903-4ec0-4b7f-9dc7-38cc8cc4083e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230929T172150Z
DESCRIPTION:Speaker: Daniel Faraco\, Universidad Autonoma Madrid\n\nAbstrac
t: A central issue in the vectorial Calculus of Variations is to character
ize sequentially weakly lower semicontinuous functionals\, which would all
ow to use the direct method of the Calculus of Variations. For scalar prob
lems the relevant condition is convexity. For vectorial problems\, the abs
tract notion of quasiconvexity is the relevant case but it is not easy to
work with. I will explain how ideas from geometric function theory\, such
as holomorphic motions or Stoilow factorization\, have indeed allowed to m
ake substancial progress in this set of problems. This is joint research w
ith K.Astala (Helsinki)\, A.Guerra (ETH)\, J.Kristensen (Oxford) and A.Kos
ki (Helsinki).
DTSTART;TZID=America/Los_Angeles:20231010T133000
DTEND;TZID=America/Los_Angeles:20231010T153000
LAST-MODIFIED:20231003T203422Z
LOCATION:PDL C-401
SEQUENCE:234
SUMMARY:: Geometric Function theory\, Quasiconvexity and lower Semicontinui
ty
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-10/geometric-function-theory
-quasiconvexity-and-lower-semicontinuity
END:VEVENT
BEGIN:VEVENT
UID:cee394fa-5598-4950-abb4-e48f5266c0a7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230927T060747Z
DESCRIPTION:Speaker: Deepam Patel (Purdue)\n\n\n\nMain talk (2:30pm)\nTitle
: Local monodromy of constructible sheaves\nAbstract: Let X be a complex a
lgebraic variety\, and X-->D a proper morphism to a small disk which is sm
ooth away from the origin. In this setting\, the higher direct images of t
he constant sheaf form a local system on the punctured disk\, and the Loca
l Monodromy Theorem (due to Brieskorn-Grothendieck-Griffiths-Landsman) ass
erts that the eigenvalues of local monodromy are roots of unity. In this t
alk\, we will discuss generalizations of this result to the setting of arb
itrary morphisms between complex algebraic varieties\, and with coefficien
ts in arbitrary constructible sheaves. If there is time\, I'll discuss app
lications to variation of monodromy in abelian covers\, and applications t
o the monodromy of alexander modules.This is based on joint work with Madh
av Nori.\n\nPre-talk (1:45pm)\nTitle: What is monodromy?Abstract: I’ll try
to explain how the study of solutions to differential equations leads nat
urally to the notion of mondromy of local systems. If there’s time we’ll l
ook at the classical example of a degeneration of elliptic curves.
DTSTART;TZID=America/Los_Angeles:20231010T143000
LAST-MODIFIED:20231006T002708Z
LOCATION:PDL C-38
SEQUENCE:235
SUMMARY:: Local monodromy of constructible sheaves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-10/local-monodromy-construct
ible-sheaves
END:VEVENT
BEGIN:VEVENT
UID:9fa743a5-d5b8-4f19-81db-c20b8cc87293
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T183428Z
DESCRIPTION:Speaker: Travis Grigsby\, Oklahoma State University\n\nAbstract
:\nIn algebraic geometry\, Schubert varieties offer insights into Intersec
tion Theory where their characteristic classes form a basis for the Grassm
annian's cohomology ring. Richardson varieties are the pairwise intersecti
on of Schubert varieties in general position. One of the most intriguing a
spects of these varieties is how their geometric properties can often be d
escribed by the combinatorics of the Weyl Group and the Bruhat Order. In t
his talk\, we give a combinatorial condition describing when the projectio
n map from a Richardson variety to a partial flag variety has equidimensio
nal fibers.\nNote: This talk begins with a pre-seminar (aimed at graduate
students) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting:
https://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231011T153000
DTEND;TZID=America/Los_Angeles:20231011T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:236
SUMMARY:: Projections of Richardson Varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-11/projections-richardson-va
rieties
END:VEVENT
BEGIN:VEVENT
UID:cee795ec-4403-4b03-ad4e-136c5a56e5c6
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230919T001042Z
DESCRIPTION:Speaker: Antoine Song (Caltech)\n\nA fundamental result about t
he dynamics and geometry of hyperbolic manifolds is Besson-Courtois-Gallot
's entropy inequality. The volume entropy of a Riemannian metric measures
the growth rate of geodesic balls in the universal cover. The result says
that given a closed hyperbolic manifold (M\,g_0)\, the metric with same vo
lume as g_0 which minimizes the volume entropy is the hyperbolic one. We w
ill discuss the corresponding stability problem: if a volume normalized me
tric g has entropy close to that of the hyperbolic metric g_0\, is it true
that g is 'close' to g_0? We will give a positive answer\, whose proof in
volves an area-minimization problem of independent interest. We will also
sketch some intriguing examples suggesting that our answer may be optimal.
DTSTART;TZID=America/Los_Angeles:20231011T160000
DTEND;TZID=America/Los_Angeles:20231011T170000
LAST-MODIFIED:20231002T193215Z
LOCATION:PDL C-38
SEQUENCE:237
SUMMARY:: Stability of the volume entropy inequality
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-11/stability-volume-entropy-
inequality
END:VEVENT
BEGIN:VEVENT
UID:1ba19592-0167-4b8a-b5c1-dcd7d8cf758d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231011T013714Z
DESCRIPTION:Speaker: Garrett Mulcahy\, University of Washington\n\nIntroduc
ed in 2017\, transformers are a deep learning architecture that have taken
the machine learning world by storm\, with applications in domains and ta
sks as diverse as natural language processing\, computer vision\, antibody
design and more. An essential component of the transformer architecture i
s self-attention\, which is the mechanism by which the transformer learns
how various elements of an input sequence are related to each other. Treat
ing the elements of an input sequence as an interacting particle system\,
self-attention then defines a system of ODEs governing the evolution of th
e particles in time. In this expository talk\, we will overview some excit
ing results about the behavior of this system from a recent paper titled “
The Emergence of Clusters in Self-Attention Dynamics” by Geshkovski et al
(2023). We will also take this opportunity to introduce some essential not
ions from optimal transport theory\, such as Wasserstein distance and conn
ections between the continuity equation and curves in the space of probabi
lity measures.
DTSTART;TZID=America/Los_Angeles:20231012T123000
DTEND;TZID=America/Los_Angeles:20231012T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:238
SUMMARY:: Analyzing Self-Attention
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-12/analyzing-self-attention
END:VEVENT
BEGIN:VEVENT
UID:5dc5ccc0-bc85-4271-94cd-03af2d7d6cef
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230930T222514Z
DESCRIPTION:Speaker: Sándor Kovács\n\nAlgebraic geometry is often described
as a discipline in which one uses algebraic methods to solve geometricpro
blems. However\, it also works the other way around. In this talk I will s
how how a purely algebraic problem regarding field extensions can be solve
d using geometry.
DTSTART;TZID=America/Los_Angeles:20231012T163000
DTEND;TZID=America/Los_Angeles:20231012T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:239
SUMMARY:: Algebra = geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-12/algebra-geometry
END:VEVENT
BEGIN:VEVENT
UID:ecffd5b1-d2bd-4020-82cc-af281cb7d1cf
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20230922T221626Z
DESCRIPTION:Speaker: Mihnea Popa (Harvard University)\n\nA basic question i
n algebraic geometry is whether there can be any non-constant maps between
(smooth\, projective) varieties of different types. I will explain some b
asic and some more sophisticated obstructions to the existence of such map
s\, mostly revolving around the notion of Kodaira dimension of an algebrai
c variety. I will also discuss some recent conjectures.
DTSTART;TZID=America/Los_Angeles:20231013T153000
LAST-MODIFIED:20231001T054800Z
LOCATION:ECE 125
SEQUENCE:240
SUMMARY:: When do varieties map to each other?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-13/when-do-varieties-map-eac
h-other
END:VEVENT
BEGIN:VEVENT
UID:94992a1f-3a19-4a13-8c6f-e88bf581e807
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231002T224350Z
DESCRIPTION:Speaker: Davar Khoshnevisan\, University of Utah\n\nWe consider
the following stochastic heat equation \n\n\n \$\partial_t u(t\,\,x) = \f
rac12\partial^2_x u(t\,\,x) + b(u(t\,\,x)) + \sigma(u(t\,\,x))\dot{W}(t\,
\,x)\$\n\n\ndefined for \$(t\,\,x)\in(0\,\,\infty)\times\mathbb{R}\$\, whe
re \$\dot{W}\$ denotes space-time white noise. The function \$\sigma\$ is
assumed to be positive\, bounded\, globally Lipschitz\, and bounded unifor
mly away from the origin\, and the function \$b\$ is assumed to be positiv
e\, locally Lipschitz and nondecreasing. We prove that the Osgood conditio
n \$\int_1^\infty {\rm d}y/b(y)<\infty\$ implies that the solution almost
surely blows up everywhere and instantaneously. In other words\, the Osgo
od condition ensures that \$P\{u(t\,\,x)=\infty\text{ for all } t>0 \text{
and } x\in\mathbb{R}\}=1\$. The main ingredients of the proof involve a
hitting-time bound for a class of differential inequalities\, and the stu
dy of the spatial growth of stochastic convolutions using techniques from
the Malliavin calculus and the Poincare inequalities that were developed
by Le Chen\, D. Khoshnevisan\, David Nualart\, and Fei Pu (2021\, 2022).\n
\nThis is based on joint work with Mohammud Foondun and Eulalia Nualart.
DTSTART;TZID=America/Los_Angeles:20231016T143000
DTEND;TZID=America/Los_Angeles:20231016T152000
LAST-MODIFIED:20231002T230245Z
LOCATION:SMI 305
SEQUENCE:241
SUMMARY:: Instantaneous everywhere-blowup of parabolic SPDEs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-16/instantaneous-everywhere-
blowup-parabolic-spdes
X-ALT-DESC;FMTTYPE=TEXT/HTML:Speaker: Davar Khoshnevisan\, University of Ut
ah We consider the following stochastic heat equation \$\partial_t u(t\,
\,x) = \frac12\partial^2_x u(t\,\,x) + b(u(t\,\,x)) + \sigma(u(t\,\,x))\d
ot{W}(t\,\,x)\$ defined for \$(t\,\,x)\in(0\,\,\infty)\times\mathbb{R}\$\,
where \$\dot{W}\$ denotes space-time white noise. The function \$\sigma\$
is assumed to be positive\, bounded\, globally Lipschitz\, and bounded un
iformly away from the origin\, and the function \$b\$ is assumed to be pos
itive\, locally Lipschitz and nondecreasing. We prove that the Osgood cond
ition \$\int_1^\infty {\rm d}y/b(y)<\infty\$ implies that the solution al
most surely blows up everywhere and instantaneously. In other words\, the
Osgood condition ensures that \$P\{u(t\,\,x)=\infty\text{ for all } t>0 \t
ext{ and } x\in\mathbb{R}\}=1\$. The main ingredients of the proof invol
ve a hitting-time bound for a class of differential inequalities\, and the
study of the spatial growth of stochastic convolutions using techniques
from the Malliavin calculus and the Poincare inequalities that were develo
ped by Le Chen\, D. Khoshnevisan\, David Nualart\, and Fei Pu (2021\, 2022
). This is based on joint work with Mohammud Foondun and Eulalia Nualart
.
END:VEVENT
BEGIN:VEVENT
UID:f70f0005-302b-468a-a331-fcdc6d67620e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230929T205813Z
DESCRIPTION:Speaker: Cole Graham (Brown University)\n\nAbstract\nThe world
teems with examples of invasion\, in which one steady state spatially inva
des another. Invasion can even display a universal character: fine details
recur in seemingly unrelated systems. Reaction-diffusion equations provid
e a mathematical framework for these phenomena. In these talks\, I will di
scuss recent examples of robust and universal invasion patterns in reactio
n-diffusion equations\, with a focus on multiple dimensions.
DTSTART;TZID=America/Los_Angeles:20231017T133000
DTEND;TZID=America/Los_Angeles:20231017T153000
LAST-MODIFIED:20231003T215911Z
LOCATION:PDL C-401
SEQUENCE:242
SUMMARY:: Invasion: robustness and universality
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-17/invasion-robustness-and-u
niversality
END:VEVENT
BEGIN:VEVENT
UID:6d767380-7ed3-4223-92d3-8c7419d28ee5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231011T193354Z
DESCRIPTION:Speaker: Oded Yacobi\, University of Sydney\n\nAbstract: I will
introduce braid groups from a topological perspective\, discuss the Burau
representation\, and try to explain how to categorify this picture (and w
hy we would want to do this...).
DTSTART;TZID=America/Los_Angeles:20231017T134500
DTEND;TZID=America/Los_Angeles:20231017T142500
LAST-MODIFIED:20231011T193354Z
LOCATION:PDl C-38
SEQUENCE:243
SUMMARY:: An introduction to braid groups
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-17/introduction-braid-groups
END:VEVENT
BEGIN:VEVENT
UID:e19218c6-5bc7-4489-bacc-b9dbb00390c2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231011T193118Z
DESCRIPTION:Speaker: Oded Yacobi\, University of Sydney\n\nAbstract: The br
aid group B_n on n strands is an important mathematical object with intere
sting connections to many pure and applied areas\, such as fluid mixing\,
physics\, topology and representation theory. Accordingly\, one can study
B_n from a variety of perspectives. For example\, algebraically the Burau
representation of B_n is a major player with applications in knot theory a
nd symplectic topology. Dynamically\, the realisation of B_n as the mappin
g class group of the punctured disc leads to the study of entropy of braid
s. It is an interesting question how to link these two approaches. In this
talk we'll explain a result in this direction: braids of entropy 0 can be
detected homologically from the categorical Burau representation as those
braids which are ``slicing-perverse''. This is a new notion that incorpor
ates stability conditions into the definition of perverse equivalences. Ba
sed on joint work with Ed Heng (IHES) and Tony Licata (ANU).
DTSTART;TZID=America/Los_Angeles:20231017T143000
DTEND;TZID=America/Los_Angeles:20231017T152000
LAST-MODIFIED:20231011T193146Z
LOCATION:PDL C-38
SEQUENCE:244
SUMMARY:: Dynamics of braid groups and slicings
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-17/dynamics-braid-groups-and
-slicings
END:VEVENT
BEGIN:VEVENT
UID:8e3550f0-f9c2-4484-b4d7-4fe8cc312ba3
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213533Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\nCo
mmittee Reports\n\nAppointments - Viray\n\n\nNew Business\nExecutive Sessi
on\nAdjournment\n\nMINUTES\nThe regular meeting of the faculty of the Depa
rtment of Mathematics was held virtually via Zoom at 3:30pm PST\, October
17\, 2023. Max Lieblich\, Chair\, presided at the meeting. Rose Choi was r
ecording secretary.\nChair's Remarks\nThe Chair welcomed everyone to the f
irst department meeting of the year and thanked all who attended the start
-of-year party last month.\nMax would like feedback from the department re
garding Interfolio\, now owned by Elsevier\, to relay to Assistant Vice Pr
ovost Margaret (Peg) Stuart. Please email him your comments.\nThe departme
nt is conducting a search for three assistant professor hires this year. I
t’s one of the main tasks for the year so please be alert of updates and g
et involved as much as possible.\nAbel Rodriguez\, the Chair of the Depart
ment of Statistics\, suggested combining the efforts of our department wit
h theirs and Applied Math to apply for a Mathematical Sciences Research In
stitute grant from the NSF. This may include the collaboration of two othe
r institutions\, such as UT Austin and Michigan. A potential theme could b
e the foundations of data which allows for a broad interpretation. Slides
will be shared with the faculty after the meeting. If you are interested i
n being involved and helping put together the proposal\, please contact Ma
x. The proposal is due to the NSF in March so we’ll need to decide whether
to pursue this by the end of October.\nMax will be sending out an email c
larifying the various departmental email lists.\nCommittee Reports\nThe Ap
pointments Committee announced that the target deadline for the assistant
professor applications was by end of day this Sunday\, October 15. They ha
ve started to look through the files\; currently there are 271 applicants.
The committee would like faculty to be involved throughout the process. F
or the first round\, please send your comments of support for strong candi
dates to Rose who will share these with the committee. As a reminder\, the
first round will look at publication quality and community recognition of
research. This will be followed by awards/grants and speaking opportuniti
es. A detailed email will follow this meeting. Please send your input by n
ext Monday at 3pm.\nWe are aiming to make offers to candidates before the
break in order to stay competitive with when other schools make their offe
rs. This will mean that interviews and the Brownellization meeting will ha
ve to take place before the end of the term so please save these dates:\n
\nDecember 12 (tentatively at 10am): Brownellization meeting in a location
TBD with refreshments\nNovember 12 thru December 8: Interviews with candi
dates. Please consider leaving space in your calendar for these weeks so t
hat you can meet with job candidates and attend their talks.\n\nRegarding
our legal responsibilities when interacting with job candidates\, please k
eep in mind the University’s Guidelines for Pre-Employment Inquiries. Plea
se review this information before communicating with any job candidates. S
earches can be cancelled for violating these practices. This includes cand
idates with whom you are already familiar. Do not disclose previously know
n demographic information regarding any candidate to the committee. All de
mographic information must be freely expressed solely by the candidate dur
ing the course of the search. If you are uncertain how to handle the flow
of information\, please direct candidates to contact the search committee
or ask the Chair for guidance.\nNew Business\nThe Chair advised everyone t
o be careful not to use personal email addresses when engaging in universi
ty business as university emails are public documents. Therefore\, your pe
rsonal emails will be vulnerable to discovery if requested by a court of l
aw. This is in keeping with the University’s policy.\nADJOURNMENT\nThe mee
ting passed into executive session at 3:49pm.
DTSTART;TZID=America/Los_Angeles:20231017T153000
LAST-MODIFIED:20231108T211349Z
LOCATION:via Zoom
SEQUENCE:245
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-17/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:6c5848ca-ade9-4efd-831f-44275d5c0a0c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231002T162327Z
DESCRIPTION:Speaker: Balázs Gerencsér\, Alfréd Rényi Institute of Mathemati
cs\n\nDistributed average consensus is a process designed to compute the a
verage of inputs on vertices using only communication along the edges of a
graph. Such setups have an apparent applied motivation\, as such this dri
ves the questions and problem setups studied.\nWe currently analyze averag
e consensus schemes based on one such popular protocol\, push-sum (or rati
o consensus)\, and our goal is to understand their almost sure exponential
convergence rate. We present multiple ways to address this problem. One b
y identifying the exact convergence rate\, however based on asymptotic qua
ntities. It is then possible to construct multiple upper bounds for more r
estricted cases\, balancing precision and scalability.\nJoint work with L.
Gerencsér\, M. Kornyik.
DTSTART;TZID=America/Los_Angeles:20231018T143000
DTEND;TZID=America/Los_Angeles:20231018T152000
LAST-MODIFIED:20231002T162327Z
LOCATION:PDL C-401
SEQUENCE:246
SUMMARY:: Accessing the convergence rate of push-sum algorithms
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-18/accessing-convergence-rat
e-push-sum-algorithms
END:VEVENT
BEGIN:VEVENT
UID:af0e3f54-bb88-4200-850a-fbe2a6532f5d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T183514Z
DESCRIPTION:Speaker: Sunita Chepuri\, University of Puget Sound\n\nAbstract
:\nIn 2012\, Lam and Pylyavskyy introduced Laurent phenomenon (LP) algebra
s. These algebras are a generalization of cluster algebras where the Laur
ent phenomenon still holds. However\, it is not known if positivity holds
for these algebras. In this talk\, we define graph LP algebras\, a type
of LP algebra that can be defined combinatorially using a graph. We then
describe a snake graph construction that allows us to find a combinatorial
expansion for a large class of the cluster variables. Our construction pr
oves positivity for certain cluster variables. This is joint work with Es
ther Banian\, Elizabeth Kelley\, and Sylvester Zhang.\nNote: This talk beg
ins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main
talk starts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/915
47335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231018T153000
DTEND;TZID=America/Los_Angeles:20231018T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:247
SUMMARY:: Snake Graphs for Graph LP Algebras
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-18/snake-graphs-graph-lp-alg
ebras
END:VEVENT
BEGIN:VEVENT
UID:949de5b9-d3e6-4a69-a491-03009a185029
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230921T001521Z
DESCRIPTION:Speaker: Gabriel Paternain (UW)\n\n I will briefly describe th
e main ideas that go into proving that two Anosov metrics on a surface hav
ing the same marked length spectrum are isometric via an isometry isotopic
to the identity. This is joint work with Colin Guillarmou and Thibault Le
feuvre.
DTSTART;TZID=America/Los_Angeles:20231018T160000
DTEND;TZID=America/Los_Angeles:20231018T170000
LAST-MODIFIED:20230921T210023Z
LOCATION:PDL C-38
SEQUENCE:248
SUMMARY:: Marked length spectrum rigidity for Anosov surfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-18/marked-length-spectrum-ri
gidity-anosov-surfaces
END:VEVENT
BEGIN:VEVENT
UID:3b906b0f-3097-490d-90f4-cbeec8594c62
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231016T214333Z
DESCRIPTION:Speaker: Leopold Mayer\, University of Washington\n\nÉtale coho
mology is a startling union of singular cohomology from topology and Galoi
s cohomology from number theory. We will discuss some basic definitions an
d theorems from étale cohomology\, along with plenty of historical motivat
ion
DTSTART;TZID=America/Los_Angeles:20231018T160000
DTEND;TZID=America/Los_Angeles:20231018T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU-B006
SEQUENCE:249
SUMMARY:: Algebraic Geometry Student's Seminar: A taste of étale cohomology
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-18/algebraic-geometry-studen
ts-seminar-taste-etale-cohomology
END:VEVENT
BEGIN:VEVENT
UID:94bfb2db-025b-4eff-9915-38057b87208c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231016T213313Z
DESCRIPTION:Speaker: Jacob Ogden\, University of Washington\n\nWell-posedne
ss is among the most important basic properties one should seek to establi
sh for any PDE problem\, especially for applications. For suitable initial
/boundary data\, do solutions of the problem exist\, are the solutions uni
que\, and do they depend continuously on the data? In this talk we introdu
ce a complex-valued generalization of the Euler equations for inviscid\, i
ncompressible fluid flow. We show that\, surprisingly\, these equations ar
e not well-posed in Sobolev spaces and there exist analytic initial data f
rom which singularities form in finite time. This is in contrast to the si
tuation for the real Euler equations in dimension 2\, where smooth initial
data produce solutions which remain smooth for all time.
DTSTART;TZID=America/Los_Angeles:20231019T123000
DTEND;TZID=America/Los_Angeles:20231019T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:250
SUMMARY:: Ill-posedness of the Complex Euler Equations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-19/ill-posedness-complex-eul
er-equations
END:VEVENT
BEGIN:VEVENT
UID:eed493e1-b161-439c-8baa-62dcd4c3ee9a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230909T170119Z
DESCRIPTION:Speaker: Diego Manco Berrio\, University of Oregon\n\nMulticate
gories have been used by Mandell and Elmendorf to encode multiplicative st
ructures in the multicategory of permutative categories. They defined \(K\
)-theory as a symmetric multifunctor from permutative categories to connec
tive spectra and showed that it preserves the encoded multiplicative struc
tures. Yau has shown that Mandell’s inverse \(K\)-theory multifunctor from
\(\Gamma\)-categories to permutative categories preserves the action of t
he symmetric group by permuting factors only up to coherent isomorphisms\,
i.e.\, it is pseudo symmetric rather than symmetric\, so it is not immedi
ate that it preserves symmetric multiplicative structures. In this talk\,
we introduce pseudo symmetric multifunctors\, including a new definition e
quivalent to the original one given by Yau\, and show some examples and ap
plications that imply that pseudo symmetric multifunctors\, and in particu
lar Mandell’s inverse -theory multifunctor\, preserve certain symmetric mu
ltiplicative structures\, like \(E_n\)-algebras.
DTSTART;TZID=America/Los_Angeles:20231019T153000
DTEND;TZID=America/Los_Angeles:20231019T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:251
SUMMARY:: Pseudo symmetric multifunctors and application to K-theory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-19/pseudo-symmetric-multifun
ctors-and-application-k-theory
END:VEVENT
BEGIN:VEVENT
UID:cdb61977-2544-4515-a65c-f886ee3528eb
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230930T222646Z
DESCRIPTION:Speaker: Isabella Novik\n\nA polytope is the convex hull of fin
itely many points in a Euclidean space. These 'simple' objects show up in
such diverse areas of Mathematics as Combinatorics and Discrete Geometry\,
Optimization\, Symplectic Geometry\, and Algebraic Geometry\, to name jus
t a few. While the study of polytopes has been extremely active since the
last half of the 20th century\, many easy to state problems on face number
s of polytopes remain wide open. In the talk\, I'll discuss several such p
roblems as well as touch on some very recent developments.
DTSTART;TZID=America/Los_Angeles:20231019T163000
DTEND;TZID=America/Los_Angeles:20231019T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:252
SUMMARY:: The fascinating world of polytopes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-19/fascinating-world-polytop
es
END:VEVENT
BEGIN:VEVENT
UID:dde24ac9-835b-468f-bb69-be4e4574a2f1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231012T205223Z
DESCRIPTION:Speaker: James Lee\, University of Washington\n\nStationary ran
dom graphs provide a rich family of random geometries for studying conject
ured relationships between scaling exponents that arise in the statistical
physics literature. Here we examine the relationships between the fractal
dimension\, the walk dimension\, the resistance exponent\, the spectral d
imension\, and the extremal growth exponent.In the recurrent regime\, we s
how that the 'Einstein relations' hold in generality\, so that the density
and conductivity of a stationary random graph determine the rate of escap
e of the random walk and the spectral dimension. We further show that\, un
der a weak form of spectral concentration\, the spectral dimension coincid
es with the extremal volume growth exponent (the minimal exponent of volum
e growth under stationary reweightings of the graph metric).
DTSTART;TZID=America/Los_Angeles:20231023T143000
DTEND;TZID=America/Los_Angeles:20231023T152000
LAST-MODIFIED:20231012T205223Z
LOCATION:SMI 305
SEQUENCE:253
SUMMARY:: Scaling exponents in stationary random graphs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-23/scaling-exponents-station
ary-random-graphs
END:VEVENT
BEGIN:VEVENT
UID:dbc62e99-464a-49ec-b170-9e60209096ac
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231016T231757Z
DESCRIPTION:Speaker: Zinovy Reichstein (UBC)\n\n\n\n\nPre-seminar\nTitle:
What is essential dimension?\nAbstract: Everyone knows that a general pol
ynomial of degree at least 5 cannot be solved in radicals. However\, this
is not the end of the story. Attempts to quantify how much a given polynom
ial can be simplified by a Tschirnhaus transformation naturally leads to t
he notion of essential dimension. The essential dimension of an algebraic
object is the minimal number of independent parameters required to define
it. I will try to motivate this notion in the framework of the classical p
roblem of solving (or at least simplifying) polynomials in one variable\,
where the objects in question are field extensions of finite degree. Surpr
isingly\, even in this classical setting long-standing open questions rema
in.\nSeminar\nTitle: Hilbert's 13th Problem for algebraic groups.Abstract:
The algebraic form of Hilbert's 13th Problem asks for the resolvent degre
e rd(n) of the general polynomial f(x) = x^n + a_1 x^{n-1} + ... + a_n of
degree n\, where a_1\, ...\, a_n are independent variables. Here rd(n) is
the minimal integer d such that every root of f(x) can be obtained in a fi
nite number of steps\, starting with C(a_1\, ...\, a_n) and adjoining an a
lgebraic function in <= d variables at each step. It is known that rd(n) =
1 for every n <= 5. It is not known whether or not rd(n) is bounded as n
tends to infinity\; it is not even known whether or not rd(n) > 1 for any
n. Recently Farb and Wolfson defined the resolvent degree rd_k(G)\, where
G is a finite group and k is a field of characteristic 0. In this setting
rd(n) = rd_C(S_n)\, where S_n is the symmetric group on n letters and C is
the field of complex numbers. In this talk I will define rd_k(G) for any
field k and any algebraic group G over k. Surprisingly\, Hilbert's 13th P
roblem simplifies when G is connected. My main result is that rd_k(G) <= 5
for an arbitrary connected algebraic group G defined over an arbitrary fi
eld k. If time permits\, I will also discuss recent joint work with Oakley
Edens on Hilbert's 13th Problem (this time\, the original version\, for t
he group G = S_n) in prime characteristic.
DTSTART;TZID=America/Los_Angeles:20231024T133000
LAST-MODIFIED:20231016T231757Z
LOCATION:PDL C-38
SEQUENCE:254
SUMMARY:: Hilbert's 13th Problem for algebraic groups
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-24/hilberts-13th-problem-alg
ebraic-groups
X-ALT-DESC;FMTTYPE=TEXT/HTML:Speaker: Zinovy Reichstein (UBC) Pre-seminar T
itle: What is essential dimension? Abstract: Everyone knows that a genera
l polynomial of degree at least 5 cannot be solved in radicals. However\,
this is not the end of the story. Attempts to quantify how much a given po
lynomial can be simplified by a Tschirnhaus transformation naturally leads
to the notion of essential dimension. The essential dimension of an algeb
raic object is the minimal number of independent parameters required to de
fine it. I will try to motivate this notion in the framework of the classi
cal problem of solving (or at least simplifying) polynomials in one variab
le\, where the objects in question are field extensions of finite degree.
Surprisingly\, even in this classical setting long-standing open questions
remain. Seminar Title: Hilbert's 13th Problem for algebraic groups.Abstra
ct: The algebraic form of Hilbert's 13th Problem asks for the resolvent de
gree rd(n) of the general polynomial f(x) = x^n + a_1 x^{n-1} + ... + a_n
of degree n\, where a_1\, ...\, a_n are independent variables. Here rd(n)
is the minimal integer d such that every root of f(x) can be obtained in a
finite number of steps\, starting with C(a_1\, ...\, a_n) and adjoining a
n algebraic function in <= d variables at each step. It is known that rd(n
) = 1 for every n <= 5. It is not known whether or not rd(n) is bounded as
n tends to infinity\; it is not even known whether or not rd(n) > 1 for a
ny n. Recently Farb and Wolfson defined the resolvent degree rd_k(G)\, whe
re G is a finite group and k is a field of characteristic 0. In this setti
ng rd(n) = rd_C(S_n)\, where S_n is the symmetric group on n letters and C
is the field of complex numbers. In this talk I will define rd_k(G) for
any field k and any algebraic group G over k. Surprisingly\, Hilbert's 13t
h Problem simplifies when G is connected. My main result is that rd_k(G) <
= 5 for an arbitrary connected algebraic group G defined over an arbitrary
field k. If time permits\, I will also discuss recent joint work with Oak
ley Edens on Hilbert's 13th Problem (this time\, the original version\, fo
r the group G = S_n) in prime characteristic.
END:VEVENT
BEGIN:VEVENT
UID:db28a41b-0acc-41e2-b60f-f1e302e1b805
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T183641Z
DESCRIPTION:Speaker: Shiliang Gao\, University of Illinois at Urbana-Champa
ign\n\nAbstract:\nA two-point curve neighborhood is the union of degree \(
d\) rational curves that pass through two given Schubert varieties in the
flag variety. These varieties were introduced by Buch-Chaput-Mihalcea-Perr
in in 2013. They encode information about the 3-point Gromov-Witten invari
ants of the flag variety. Postnikov proved there is a unique minimal degre
e where the curve neighborhood is non-empty and described it using the qua
ntum Bruhat graph. In this case\, we provide a concrete description of the
curve neighborhood in terms of the combinatorics of tilted Bruhat order a
nd a stratification with open tilted Richardson varieties. This is joint w
ork with Jiyang Gao and Yibo Gao.\nNote: This talk begins with a pre-semin
ar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10
.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID:
915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231025T153000
DTEND;TZID=America/Los_Angeles:20231025T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:255
SUMMARY:: Quantum Bruhat graphs and tilted Richardson varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-25/quantum-bruhat-graphs-and
-tilted-richardson-varieties
END:VEVENT
BEGIN:VEVENT
UID:ab33839f-ff57-4448-9901-ccd0bc9cc24d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231024T004643Z
DESCRIPTION:Speaker: Daniel Rostamloo\, University of Washington\n\nThe wor
d 'descent' refers to a number of results which are an important part of t
he modern algebraic geometer's toolkit. We will develop the context for th
ese results and prove one such descent theorem\, as well as giving a broad
overview of the utility of descent theory.
DTSTART;TZID=America/Los_Angeles:20231025T160000
DTEND;TZID=America/Los_Angeles:20231025T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU B006
SEQUENCE:256
SUMMARY:: Algebraic Geometry Student's Seminar : Introduction to Descent Th
eory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-25/algebraic-geometry-studen
ts-seminar-introduction-descent-theory
END:VEVENT
BEGIN:VEVENT
UID:8b956fa3-41b5-4ec3-9421-f44198cdb4cc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231023T174526Z
DESCRIPTION:Speaker: Ryan Bushling\, University of Washington\n\nLet \$E\su
bseteq \mathbb{R}^d\$. The Falconer distance problem is to relate the dime
nsion of to the size of its distance set \$\Delta (E):=\{\|x-y\|:x\,y\in
E\}\$. After surveying the problem and some of the progress that has been
made toward its solution\, we consider the role of curvature and arrive at
a bound on the dimension of pinned distance sets with respect to arbitrar
y norms—one that is sharp for all polyhedral norms. Its proof is grounded
in effective methods\, leading us to study Kolmogorov complexity and its s
urprising role in geometric measure theory. With the basic tools in hand\,
we prove the distance set estimate and sketch the ideas underlying its sh
arpness.
DTSTART;TZID=America/Los_Angeles:20231026T123000
DTEND;TZID=America/Los_Angeles:20231026T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:257
SUMMARY:: Distance sets with respect to polyhedral norms
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-26/distance-sets-respect-pol
yhedral-norms
END:VEVENT
BEGIN:VEVENT
UID:8673d848-2a14-48a2-9af0-da65a83f706e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230928T205738Z
DESCRIPTION:Speaker: Kyle Ormsby\, University of Washington / Reed College
\n\nWe identify the motivic \$KGL/2\$-local sphere as the fiber of \$\psi^
3-1\$ on \$(2\,\eta)\$-completed Hermitian \(K\)-theory\, over any base sc
heme containing 1/2. This is a motivic analogue of the classical \$K(1)\$-
local sphere\, and extends to a description of the \$KGL/2\$-localization
of any motivic spectrum. Our proof relies on a novel conservativity argume
nt that should be of broad utility in stable motivic homotopy theory. This
is joint work with William Balderrama and J.D. Quigley.\nThere will also
be a pre-talk aimed at graduate students 2:30-3:20pm in PDL C-401.
DTSTART;TZID=America/Los_Angeles:20231026T153000
DTEND;TZID=America/Los_Angeles:20231026T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:258
SUMMARY:: A motivic analogue of the K(1)-local sphere spectrum
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-26/motivic-analogue-k1-local
-sphere-spectrum
END:VEVENT
BEGIN:VEVENT
UID:13da934b-de5f-4c29-9354-166799a34842
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231012T035352Z
DESCRIPTION:Speaker: Steffen Rohde\n\nI will begin by discussing some examp
les of self-similar ('fractal') sets\, both in the deterministic and the r
andom setting\, with an emphasis on trees (or dendrites). Then I will show
how to glue two trees together to form a sphere\, and willdiscuss how thi
s arises in both complex dynamics and in probability theory. The talk will
be self-contained and has many pictures.
DTSTART;TZID=America/Los_Angeles:20231026T163000
DTEND;TZID=America/Los_Angeles:20231026T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:259
SUMMARY:: How to make a sphere out of two trees\, and why
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-26/how-make-sphere-out-two-t
rees-and-why
END:VEVENT
BEGIN:VEVENT
UID:5468cef6-7afc-473c-90e9-c2fabff5f7c7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231013T010500Z
DESCRIPTION:Speaker: Jun Kigami\, Kyoto University\n\nLast year\, I gave a
talk in the probability seminar on how to construct an analogue of “Sobole
v spaces” on compact metric spaces. The idea was to approximate the origin
al space by a sequence of graphs\, consider discrete \$p\$-energies on tho
se graphs\, and take a scaling limit of them.In this talk\, what I will pr
esent is new examples of spaces where this strategy works.More precisely\,
I will consider polygon-based locally symmetric self-similar sets. One o
f the results is that the above strategy works for any triangle-based case
s.
DTSTART;TZID=America/Los_Angeles:20231030T143000
DTEND;TZID=America/Los_Angeles:20231030T152000
LAST-MODIFIED:20231013T010500Z
LOCATION:SMI 305
SEQUENCE:260
SUMMARY:: Conductive homogeneity of polygon-based self similar sets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-30/conductive-homogeneity-po
lygon-based-self-similar-sets
END:VEVENT
BEGIN:VEVENT
UID:d8569877-6b2e-4497-8019-6762f204895a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231003T203255Z
DESCRIPTION:Speaker: Steffen Rohde\, University of Washington\n\nEvery fini
te tree has an essentially unique conformally natural embedding into the c
omplex plane\, by means of 'Shabat polynomials'. How about infinite trees?
Numerical computations showed that large trivalent trees approximate the
'developed deltoid'\, a fascinating domain defined through repeated reflec
tion of the deltoid curve over its three sides\, introduced and studied by
Lee\, Ljubich\, Makarov and Mukherjee.In the first part of my talk\, I wi
ll carefully describe these objects and discuss a form of convergence of t
he trees to the developed deltoid. In the second part\, I will discuss som
e techniques used in the proof\, and will hint at connections to random st
ructures (the continuum random tree and the Peano sphere).
DTSTART;TZID=America/Los_Angeles:20231031T133000
DTEND;TZID=America/Los_Angeles:20231031T153000
LAST-MODIFIED:20231012T020137Z
SEQUENCE:261
SUMMARY:: The infinite trivalent tree and the developed deltoid
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-31/infinite-trivalent-tree-a
nd-developed-deltoid
END:VEVENT
BEGIN:VEVENT
UID:35b0cb7f-dc31-49d2-922a-d9923738e030
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231027T203110Z
DESCRIPTION:Speaker: Amrei Oswald (UW)\n\n\n\nPre-talk title: Hochschild co
homology and finite-dimensional algebras\nPre-talk abstract: In the pre-ta
lk\, I will go over Hochschild cohomology and its Gerstenhaber algebra str
ucture. I will also discuss how path algebras give us a description of fin
ite-dimensional algebras and monomial algebras more generally.\n \nTitle:
Hochschild cohomology of triangular monomial algebras\nAbstract: The Hochs
child cohomology of an algebra is itself a commutative graded algebra wher
e the multiplication is given by the cup product\, and with the Gerstenhab
er bracket\, this is a Gerstenhaber algebra. Monomial algebras can be real
ized as quotients of path algebras and have a nice resolution described by
Bardzell in 1997. This has led to a substantial body of work describing t
he Hochschild cohomology of certain classes of monomial algebras and their
Gerstenhaber algebra structure. In this talk\, I will discuss the Hochsch
ild cohomology of triangular monomial algebras and their cup product. This
discussion is based on joint work with Dalia Artenstein\, Janina Letz\, S
ibylle Schroll\, and Andrea Solotar.
DTSTART;TZID=America/Los_Angeles:20231031T134500
LAST-MODIFIED:20231027T203110Z
LOCATION:PDL C-38
SEQUENCE:262
SUMMARY:: Hochschild cohomology of triangular monomial algebras
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-10-31/hochschild-cohomology-tri
angular-monomial-algebras
END:VEVENT
BEGIN:VEVENT
UID:7a622c8c-a488-4b5c-86c1-fbd1d8ebabf1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231025T200254Z
DESCRIPTION:Speaker: Henry Segerman\, Oklahoma State University\n\nResults
of Matveev\, Piergallini\, and Amendola show that any two triangulations o
f a three-manifold with the same number of vertices are related to each ot
her by a sequence of local combinatorial moves (namely\, 2-3 and 3-2 moves
). For some applications however\, we need our triangulations to have cert
ain properties\, for example that all edges are essential. (An edge is ine
ssential if both ends are incident to a single vertex\, into which the edg
e can be homotoped.) We show that any two triangulations with all edges es
sential can be related to each other by a sequence of 2-3 and 3-2 moves\,
keeping all edges essential as we go. This is joint work with Tejas Kalelk
ar and Saul Schleimer.\nNote the non-standard time for the seminar\, 1:30-
2:30 Wednesday.
DTSTART;TZID=America/Los_Angeles:20231101T133000
DTEND;TZID=America/Los_Angeles:20231101T143000
LAST-MODIFIED:20240822T184151Z
LOCATION:Miller Hall (MLR) 316
SEQUENCE:263
SUMMARY:: Avoiding inessential edges
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-01/avoiding-inessential-edge
s
END:VEVENT
BEGIN:VEVENT
UID:6e6bd7fe-e833-4b1a-989c-9c009a033caa
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T184046Z
DESCRIPTION:Speaker: Colin Crowley\, University of Oregon\n\nAbstract:\nThe
closure of a linear subspace of \(\mathbb C^n\) in an \(n\)-fold product
of \(\mathbb{CP}^1\) was first studied by Ardila and Boocher\, who showed
that the algebraic invariants of this closure beautifully reflect matroid
combinatorics. This construction was later used by Huh and Wang to prove t
he top-heavy conjecture for realizable matroids and is central in the deve
lopment of Kazhdan-Lusztig theory for matroids. This recent activity was i
nspired by an analogy with Schubert varieties\, so this construction is so
metimes referred to as a matroid Schubert variety.\nI'll introduce matroid
Schubert varieties and then share two results. The first characterizes ma
troid Schubert varieties as the class of equivariant compactifications of
complex vector spaces which have certain properties. The second gives a ge
neralized construction and proves that it also has one of the key properti
es of matroid Schubert varieties.\nJoint work with Connor Simpson and Boto
ng Wang.\nNote: This talk begins with a pre-seminar (aimed at graduate stu
dents) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: htt
ps://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231101T153000
DTEND;TZID=America/Los_Angeles:20231101T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:264
SUMMARY:: Matroid Schubert varieties and equivariant compactifications
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-01/matroid-schubert-varietie
s-and-equivariant-compactifications
END:VEVENT
BEGIN:VEVENT
UID:c0d16c0b-d566-4aa1-8659-3f6ebc551718
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231028T054540Z
DESCRIPTION:Speaker: Brian Nugent\, University of Washington\n\nIn this tal
k\, we will prove a boundedness theorem for numerically trivial line bundl
es. In the course of the proof I will introduce tools that have a wide arr
ay of applications such as vanishing theorems\, Castelnuovo-Mumford regula
rity and the Quot scheme. The main purpose of the talk is not the theorem
itself but rather to give an example of how these powerful tools are used.
DTSTART;TZID=America/Los_Angeles:20231101T160000
DTEND;TZID=America/Los_Angeles:20231101T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU B006
SEQUENCE:265
SUMMARY:: Algebraic Geometry Student's Seminar : Boundedness of Numerically
Trivial Line Bundles
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-01/algebraic-geometry-studen
ts-seminar-boundedness-numerically-trivial-line-bundles
END:VEVENT
BEGIN:VEVENT
UID:742220c6-4c60-411e-8c3c-e6b8f351bffc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231030T161709Z
DESCRIPTION:Speaker: Sean Richardson\, University of Washington\n\nConsider
a real-valued function over the integers\, which could represent data col
lected at equally spaced time-intervals. It is often useful to smooth such
a function by taking local weighted averages about each point. This raise
s the question: what is the best choice of such weights? In this talk\, we
investigate which choice of weights guarantees the smallest Laplacian of
the smoothed function. Answering this question involves Fourier analysis\,
Chebyshev polynomials\, and the equioscillation property.
DTSTART;TZID=America/Los_Angeles:20231102T123000
DTEND;TZID=America/Los_Angeles:20231102T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:266
SUMMARY:: Smooth Averaging and a Fourier Inequality
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-02/smooth-averaging-and-four
ier-inequality
END:VEVENT
BEGIN:VEVENT
UID:10395a0e-b2aa-4c37-af7f-12c7f43ccca5
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20230922T221838Z
DESCRIPTION:Speaker: Alex Kontorovich (Rutgers University)\n\nRecent decade
s have seen a lot of progress in the 'orbital circle method' attacking cla
ssical problems from dynamics\, geometry\, and number theory under the umb
rella of 'thin groups'. There was always a danger that the circle method w
as too crude a tool for the job\, and indeed that danger has recently been
realized. We will discuss these various problems\, the progress towards t
hem\, and where things currently stand.
DTSTART;TZID=America/Los_Angeles:20231102T153000
LAST-MODIFIED:20231023T165413Z
LOCATION:SAV 260
SEQUENCE:267
SUMMARY:: Local to global principles in orbits\, and applications
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-02/local-global-principles-o
rbits-and-applications
END:VEVENT
BEGIN:VEVENT
UID:61c999fd-91d0-4741-82b2-6dd303dac23e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231009T213047Z
DESCRIPTION:Speaker: Joshua Zahl\, University of British Columbia\n\nI will
discuss a class of maximal operators that arise from averaging functions
over thin neighborhoods of curves in the plane. Examples of such operators
are the Kakeya maximal function and the Wolff and Bourgain circular maxim
al functions. To understand the behavior of these operators\, we need to s
tudy the possible intersection patterns for collections of curves in the p
lane: how often can these curves intersect\, how often can they be tangent
\, and how often can they be tangent to higher order?
DTSTART;TZID=America/Los_Angeles:20231107T133000
DTEND;TZID=America/Los_Angeles:20231107T153000
LAST-MODIFIED:20231106T031702Z
LOCATION:PDL C-401
SEQUENCE:268
SUMMARY:: Curve tangencies and maximal functions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-07/curve-tangencies-and-maxi
mal-functions
END:VEVENT
BEGIN:VEVENT
UID:84571edd-31a9-40fd-9295-f92b7b44f559
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231103T043402Z
DESCRIPTION:Speaker: Sarah Witherspoon\n\nThis will be a brief introduction
to finite tensor categories\, in particular the symmetric ones that inclu
de the categories of representations of finite groups and finite group sch
emes. We will define skew group algebras and explain their appearance ina
classification theorem\, due to Deligne\, forsymmetric tensor categories o
ver algebraicallyclosed fields of characteristic 0.
DTSTART;TZID=America/Los_Angeles:20231107T134500
DTEND;TZID=America/Los_Angeles:20231107T142500
LAST-MODIFIED:20231103T043402Z
LOCATION:PDL C-38
SEQUENCE:269
SUMMARY:: Symmetric tensor categories and skew group algebras
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-07/symmetric-tensor-categori
es-and-skew-group-algebras
END:VEVENT
BEGIN:VEVENT
UID:57e529bb-a28d-4745-b6d2-682df7747832
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231103T043627Z
DESCRIPTION:Speaker: Sarah Witherspoon\, Texas A&M\n\nSupport varieties are
important tools in representationtheory\, starting with representations o
f finite groupsand finite group schemes. Much of the theory has beensucces
sfully adapted to many other settings\, for examplefinite tensor categorie
s\, while much is still unknown.This talk will include a survey of some kn
own resultsand some recent developments which are joint work withPetter An
dreas Bergh and Julia Yael Plavnik. We willfocus on a tensor product prope
rty for support varieties\,explaining that it can be reduced to checking i
t for theindecomposable periodic objects\, and as a consequenceit holds fo
r all symmetric finite tensor categoriesover algebraically closed fields o
f characteristic 0.
DTSTART;TZID=America/Los_Angeles:20231107T143000
DTEND;TZID=America/Los_Angeles:20231107T152000
LAST-MODIFIED:20231103T043627Z
LOCATION:PDL C-38
SEQUENCE:270
SUMMARY:: Support varieties for finite tensor categories
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-07/support-varieties-finite-
tensor-categories
END:VEVENT
BEGIN:VEVENT
UID:0882c6e4-70c6-4876-8837-f6a9a0271726
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213546Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
Career Development Committee - Billey\n\n\nCommittee Reports\n\nAppointmen
ts - Pevtsova\n\n\nNew Business\nExecutive Session\nAdjournment\n\n\nMINUT
ES\nThe regular meeting of the faculty of the Department of Mathematics wa
s held virtually via Zoom at 3:30pm PST\, November 7\, 2023. Max Lieblich\
, Chair\, presided at the meeting. Rose Choi was recording secretary.\nCha
ir's Remarks\nThe Chair congratulated Cynthia Vinzant on her recent design
ation as a Fellow of the AMS.\nThe minutes from the previous meeting and s
chedule for next year’s meetings were approved.\nGiven the magnitude of th
e MSRI grant from the NSF\, we’ve decided not to pursue it this year. We h
ope to build a record of collaboration with the aforementioned departments
so that we’ll be ready to apply for a large scale grant in five years’ ti
me.\nThe department has been considering a fee-based Master’s Program. Ple
ase send thoughts to Soumik Pal starting in the winter.\nWe’d like to buil
d up our connection with alumni. If you have any updates regarding your fo
rmer students\, please share them with Max.\nThe Chair discussed the usage
of private messages and social media posts in relation to public records
and the Freedom of Information Act.\nAnnouncements\nThe department has fun
ds available to cover some RAships. The Graduate Committee will require st
udents to apply via an online form.\nThe recently formed Career Developmen
t Committee (Sara Billey\, Bobby Wilson\, Stefan Steinerberger\, Chris Hof
fman\, Jayadev Athreya\, and Sarah Garner) shared their initiatives\, goal
s\, and encouraged faculty to become undergraduate mentors.\nCommittee Rep
orts\nThe Appointments Committee is on round two of their deliberations an
d hope to invite those on the short list for interviews before the end of
this week. Interviews will take place around the end of November and begin
ning of December so please try to keep your schedule open so as to meet wi
th the candidates and go to the talks. The final ranking meeting will take
place December 12th.\nNew Business\nThe Chair advised everyone to be care
ful not to use personal email addresses when engaging in university busine
ss as university emails are public documents. Therefore\, your personal em
ails will be vulnerable to discovery if requested by a court of law. This
is in keeping with the University’s policy.\nADJOURNMENT\nThere being no n
ew business\, the meeting passed into executive session at 4:13pm.
DTSTART;TZID=America/Los_Angeles:20231107T153000
LAST-MODIFIED:20240102T211907Z
LOCATION:via Zoom
SEQUENCE:271
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-07/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:71c2c52c-0283-4641-aac8-d0503fcfa5f6
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231103T210347Z
DESCRIPTION:Speaker: Georgy Scholten\, Sorbonne Université\n\nWe introduce
a new method for minimizing analytic Morse functions over compact domains
through the use of polynomial approximations. This is\, in essence\, an ef
fective application of the Stone-Weierstrass Theorem\, as we seek to exten
d a local method to a global setting\, through the construction of polynom
ial approximants satisfying an arbitrary set precision. Our main Theorem s
tates probabilistic conditions for capturing all local minima of the objec
tive function \$f\$ over the compact domain. We present a probabilistic me
thod\, iterative on the degree\, to construct a lowest degree possible lea
st-squares polynomial approximants of \$f\$ which attains a desired precis
ion over the domain. The critical points of the polynomial approximant are
computed exactly\, using methods from computer algebra. We then initializ
e local minimization methods on the objective function \$f\$ at these poin
ts\, in order to recover the totality of the local minima of \$f\$ over th
e domain.
DTSTART;TZID=America/Los_Angeles:20231107T163000
DTEND;TZID=America/Los_Angeles:20231107T172000
LAST-MODIFIED:20231103T210544Z
LOCATION:CMU B-006
SEQUENCE:272
SUMMARY:: Global optimization of analytic functions over compact domain
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-08/global-optimization-analy
tic-functions-over-compact-domain
END:VEVENT
BEGIN:VEVENT
UID:cbed244a-c389-47d1-8928-c0c28956a787
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T184203Z
DESCRIPTION:Speaker: Samuel Armon\, University of Southern California\n\nAb
stract:\nDemazure crystals decompose naturally into subsets called Demazur
e atoms. We derive a recursive formula for computing Demazure atoms\, gene
ralizing a result of Lascoux and Schützenberger\, and further study subset
s of crystals which exhibit similar atom-positive decompositions. In parti
cular\, a conjecture of Polo suggests that the tensor product of Demazure
crystals should be atom-positive. Recent work by Assaf\, Dranowski\, and G
onzález uncovers a relationship between Polo's conjecture and particular s
ubsets called extremal crystals\, and we further examine the relationship
between extremal crystals and atom-positivity.\nNote: This talk begins wit
h a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk s
tarts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/9154733597
4Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231108T153000
DTEND;TZID=America/Los_Angeles:20231108T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:273
SUMMARY:: Extremal crystals and atom-positivity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-08/extremal-crystals-and-ato
m-positivity
END:VEVENT
BEGIN:VEVENT
UID:7fc42fae-27d0-4714-bd83-e650557e5247
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231106T043727Z
DESCRIPTION:Speaker: Tyson Klingner\, University of Washington\n\nClassical
ly\, algebraic geometry was the study of varieties over the field of compl
ex numbers. While contemporary algebraic geometers now consider schemes an
d varieties over arbitrary fields\, there is a wealth of knowledge still t
o be obtained over the field of complex numbers. Moreover\, over the field
of complex numbers\, one has access to smooth differential geometry and c
an use gauge theory objects to understand more about algebraic geometry. I
n this talk\, we will present an introductory overview of complex algebrai
c geometry focussing on holomorphic line bundles and their relationship to
divisors. If time permits\, we will show the construction of the Jacobian
variety and show how one may construct the variety with only differential
geometric information\, highlighting the connection to differential geome
try.
DTSTART;TZID=America/Los_Angeles:20231108T160000
DTEND;TZID=America/Los_Angeles:20231108T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU B006
SEQUENCE:274
SUMMARY:: Algebraic Geometry Student's Seminar : An Introduction to Complex
Algebraic Geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-09/algebraic-geometry-studen
ts-seminar-introduction-complex-algebraic-geometry
END:VEVENT
BEGIN:VEVENT
UID:b1a31ff8-4adb-4985-94aa-b742c748aa22
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231106T203913Z
DESCRIPTION:Speaker: Linhang Huang\, University of Washington\n\nGiven a tr
ee on \$\mathbb{C}\$\, there exists a Riemann map from the complement of t
he closed unit disk onto the complement of the tree. By continuous extensi
on\, this map induces an equivalence relation on \$\mathbb{S}^1\$ (a lamin
ation). In this talk\, we will be investigating the inverse procedure\, na
mely\, given a lamination\, can we find a Riemann map to “sew up” the unit
disk with it and make a tree? In particular\, we will introduce a gluing
condition that implies the existence of Hölder continuous gluing map. We w
ill also go through some interesting examples of trees and their associate
d laminations.
DTSTART;TZID=America/Los_Angeles:20231109T123000
DTEND;TZID=America/Los_Angeles:20231109T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:275
SUMMARY:: Laminations\, Balloon Animals & Sewing Up Holes - Conformal Embed
ding of Trees
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-09/laminations-balloon-anima
ls-sewing-holes-conformal-embedding-trees
END:VEVENT
BEGIN:VEVENT
UID:8b3580f8-f4e7-4622-b000-017d62304a55
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231016T191522Z
DESCRIPTION:Speaker: Marta Lewicka (U of Pittsburgh)\n\nThe Monge-Ampere e
quation \$ \det\nabla^2 v =f \$ posed on a d=2 dimensional domain \(\omega
\) and in which we are seeking a scalar (i.e. dimension k=1) field v on \(
\omega\)\, has a natural weak formulation that appears as the constraint c
ondition in the \Gamma-limit of the dimensionally reduced non-Euclidean el
astic energies. This formulation reads: curl^2 (\nabla v\otimes \nabla v)
= -2f and it allows\, via the Nash-Kuiper scheme of convex integration\, f
or constructing multiple solutions that are dense in C^0(\omega)\, at the
regularity C^{1\,\alpha} for any \alpha<1/7\, no matter the sign of the ri
ght hand side function f [Lewicka-Pakzad 2017].\n \nDoes a similar result
hold in higher dimensions d>2 and codimensions k>1? Indeed it does\, but o
ne has to replace the Monge-Ampere equation by the Monge-Ampere system\, b
y altering curl^2 to the corresponding operator that arises from the presc
ribed Riemann curvature problem\, similarly to how the prescribed Gaussian
curvature problem leads to the Monge-Ampere equation in 2d [Lewicka 2022]
.\n \nOur main result is a proof of flexibility of the Monge-Ampere system
at C^{1\,\alpha} for any \alpha<1/(1+d(d+1)/k). This finding extends our
previous result where d=2\, k=1\, and stays in agreement with the known fl
exibility thresholds for the isometric immersion problem: the Conti-Delell
is-Szekelyhidi result \alpha<1/(1+d(d+1)) when k=1\, as well as the Kallen
result where \alpha\to 1 as k\to\infty.\nFor d=2\, the flexibility expone
nt may be even improved to \alpha<1/(1+4/k)\, using the conformal invarian
ce of 2d metrics to the flat metric [Lewicka 2023]. We will also discuss o
ther possible improvements when d>2.
DTSTART;TZID=America/Los_Angeles:20231109T143000
DTEND;TZID=America/Los_Angeles:20231109T153000
LAST-MODIFIED:20231108T234205Z
LOCATION:PDL C-38
SEQUENCE:276
SUMMARY:: The Monge-Ampere system: convex integration in arbitrary dimensio
n and codimension
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-09/monge-ampere-system-conve
x-integration-arbitrary-dimension-and-codimension
X-ALT-DESC;FMTTYPE=TEXT/HTML:Speaker: Marta Lewicka (U of Pittsburgh) The M
onge-Ampere equation \$ \det\nabla^2 v =f \$ posed on a d=2 dimensional do
main \(\omega\) and in which we are seeking a scalar (i.e. dimension k=1)
field v on \(\omega\)\, has a natural weak formulation that appears as the
constraint condition in the \Gamma-limit of the dimensionally reduced non
-Euclidean elastic energies. This formulation reads: curl^2 (\nabla v\otim
es \nabla v) = -2f and it allows\, via the Nash-Kuiper scheme of convex in
tegration\, for constructing multiple solutions that are dense in C^0(\ome
ga)\, at the regularity C^{1\,\alpha} for any \alpha<1/7\, no matter the s
ign of the right hand side function f [Lewicka-Pakzad 2017]. Does a simila
r result hold in higher dimensions d>2 and codimensions k>1? Indeed it doe
s\, but one has to replace the Monge-Ampere equation by the Monge-Ampere s
ystem\, by altering curl^2 to the corresponding operator that arises from
the prescribed Riemann curvature problem\, similarly to how the prescribed
Gaussian curvature problem leads to the Monge-Ampere equation in 2d [Lewi
cka 2022]. Our main result is a proof of flexibility of the Monge-Ampere s
ystem at C^{1\,\alpha} for any \alpha<1/(1+d(d+1)/k). This finding extends
our previous result where d=2\, k=1\, and stays in agreement with the kno
wn flexibility thresholds for the isometric immersion problem: the Conti-D
elellis-Szekelyhidi result \alpha<1/(1+d(d+1)) when k=1\, as well as the K
allen result where \alpha\to 1 as k\to\infty. For d=2\, the flexibility ex
ponent may be even improved to \alpha<1/(1+4/k)\, using the conformal inva
riance of 2d metrics to the flat metric [Lewicka 2023]. We will also discu
ss other possible improvements when d>2.
END:VEVENT
BEGIN:VEVENT
UID:08d7f663-6994-46ba-82e9-4b0d480e65ec
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230928T204314Z
DESCRIPTION:Speaker: Ishan Levy\, MIT\n\nChromatic homotopy theory attempts
to study the stable homotopy category by breaking it into v_n-periodic la
yers corresponding to height n formal groups. There are two natural ways t
o do this\, via either the K(n)-localizations which are computationally ac
cessible\, or via the T(n)-localizations\, which detect the v_n-periodic p
arts of the stable homotopy groups of spheres. Ravenel's telescope conject
ure asks that these two localizations agree. For n at least 2 and all prim
es\, I will discuss counterexamples to Ravenel’s telescope conjecture. Our
counterexamples come from using trace methods to compute the T(n) and K(n
)-localizations of the algebraic K-theory of a family of ring spectra\, wh
ich in the case n=2 are certain finite Galois extensions of the K(1)-local
sphere. I will then explain that this can be used to obtain an infinite f
amily of elements in the v_n-periodic stable homotopy groups of spheres\,
giving the best known lower bound on the asymptotic average ranks of the s
table stems. Finally\, I will explain that the Galois group of the T(n)-lo
cal category agrees with that of the K(n)-local category\, and how the fai
lure of the telescope conjecture comes entirely from the failure of Galois
hyperdescent. This talk comes from projects that are joint with Burklund\
, Carmeli\, Clausen\, Hahn\, Schlank\, and Yanovski.\nThere will also be a
pre-talk aimed at graduate students 2:30-3:20 in PDL C-401.
DTSTART;TZID=America/Los_Angeles:20231109T153000
DTEND;TZID=America/Los_Angeles:20231109T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:277
SUMMARY:: Telescopic stable homotopy theory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-09/telescopic-stable-homotop
y-theory
END:VEVENT
BEGIN:VEVENT
UID:436e28c7-fc32-40d5-9870-9c3ba81615c1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231019T160913Z
DESCRIPTION:Speaker: Stefan Steinerberger\n\nWe'll discuss growth patterns
in the plane. The most famous such model is DLA where new particles arrive
via a Brownian motion and get stuck once they hit an existing particle: i
t forms the most beautiful fractal patterns (pictures will be provided). D
espite this\, DLA is actually fairly poorly understood and we will quickly
survey the existing ideas (many of which are due to Harry Kesten). I will
then present a new type of growth model that behaves similarly (many more
pictures will be shown) and which can be very precisely analyzed (in cert
ain cases). No prior knowledge is necessary\, I'll explain everything from
first principles.
DTSTART;TZID=America/Los_Angeles:20231109T163000
DTEND;TZID=America/Los_Angeles:20231109T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:278
SUMMARY:: Particle Growth Models in the Plane (DLA\, DBM\, ...)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-10/particle-growth-models-pl
ane-dla-dbm
END:VEVENT
BEGIN:VEVENT
UID:c0172954-3353-4dff-8105-7edbdf680e16
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231027T205542Z
DESCRIPTION:Speaker: Jason Swanson\, University of Central Florida\n\nWe co
nsider a diffusion given by a small noise perturbation of a dynamical syst
em driven by a potential function with a finite number of local minima. Th
e classical results of Freidlin and Wentzell show that the time this diffu
sion spends in the domain of attraction of one of these local minima is ap
proximately exponentially distributed and hence the diffusion should behav
e approximately like a Markov chain on the local minima. By the work of Bo
vier and collaborators\, the local minima can be associated with the small
eigenvalues of the diffusion generator. Applying a Markov mapping theorem
\, we use the eigenfunctions of the generator to couple this diffusion to
a Markov chain whose generator has eigenvalues equal to the eigenvalues of
the diffusion generator that are associated with the local minima and est
ablish explicit formulas for conditional probabilities associated with thi
s coupling. The fundamental question then becomes to relate the coupled Ma
rkov chain to the approximate Markov chain suggested by the results of Fre
idlin and Wentzel. We provide a complete analysis of this relationship in
the special case of a double-well potential in one dimension. More general
ly\, the coupling can be constructed for a general class of Markov process
es and any finite set of eigenvalues of the generator.
DTSTART;TZID=America/Los_Angeles:20231113T143000
DTEND;TZID=America/Los_Angeles:20231113T152000
LAST-MODIFIED:20231027T205542Z
LOCATION:SMI 305
SEQUENCE:279
SUMMARY:: Finite Markov chains coupled to general Markov processes and an a
pplication to metastability
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-13/finite-markov-chains-coup
led-general-markov-processes-and-application
END:VEVENT
BEGIN:VEVENT
UID:be484f48-e5ff-41d1-8c93-52b5e6a46da9
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20231101T173435Z
DESCRIPTION:Speaker: Justin Bloom\n\nAdvisor: Julia Pevtsova
DTSTART;TZID=America/Los_Angeles:20231113T150000
LAST-MODIFIED:20231101T173501Z
LOCATION:Loew Hall room 101
SEQUENCE:280
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-13/general-exam
END:VEVENT
BEGIN:VEVENT
UID:daad9907-46a8-4a63-a0d3-485a131a5611
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231030T033947Z
DESCRIPTION:Speaker: Akshat Kumar (Instituto de Telecomunicações\, Lisboa)
\n\nGraph Laplacians and Markov processes are intimately connected and ubi
quitous in the study of graph structures. They have led to significant adv
ances in a class of geometric inverse problems known as “manifold learning
”\, wherein one wishes to learn the geometry of a Riemannian submanifold f
rom finite Euclidean point samples. The data gives rise to the geometry-en
coding neighbourhood graphs. Present-day techniques are dominated primaril
y by the low spectral resolution of the graph Laplacians\, while finer asp
ects of the underlying geometry\, such as the geodesic flow\, are observed
only in the high spectral regime. We establish a data-driven uncertainty
principle that dictates the scaling of the wavelength h\, with respect to
the density of samples\, at which graph Laplacians are approximately h-pse
udodifferential operators. This sets the stage for a semiclassical approac
h to the high-frequency analysis of wave dynamics on weighted graphs. We t
hus establish a discrete version of Egorov’s theorem and achieve convergen
ce rates for the recovery of geodesics on the underlying manifolds through
quantum dynamics on the approximating graphs. I will briefly show some ap
plications to real-world datasets and connections to approximation of othe
r pseudodifferential operators on manifolds.
DTSTART;TZID=America/Los_Angeles:20231114T133000
DTEND;TZID=America/Los_Angeles:20231114T153000
LAST-MODIFIED:20231120T174427Z
LOCATION:PDL C-401
SEQUENCE:281
SUMMARY:: Wave dynamics and semiclassical analysis: from graphs to manifold
s
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-14/wave-dynamics-and-semicla
ssical-analysis-graphs-manifolds
END:VEVENT
BEGIN:VEVENT
UID:97c1c8e8-ae20-4861-8417-6295d20f104d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231109T175934Z
DESCRIPTION:Speaker: Guillermo Sanmarco (UW)\n\n\n\nPre talk title: Tannaka
-Krein duality for symmetric tensor categories and Deligne’s theorem \nAbs
tract: I will introduce the notion of symmetric category and explain Tanna
ka-Krein duality\, which reconstructs an affine group scheme G from the sy
mmetric category Rep(G). We will then go through Deligne’s classification
theorems in characteristic zero and give a first idea of why it fails in p
ositive characteristic.\n\n\nTalk title: Towards group scheme theory in in
compressible tensor categories\nAbstract: A fundamental theorem by Deligne
establishes that\, over an algebraically closed field of characteristic z
ero\, any symmetric tensor category under mild finiteness conditions admit
s a fiber functor to the category sVec of super vector spaces\, and can th
us be recovered from super group scheme theory. \nThe problem of obtaining
analog results for fields of positive characteristic has immediate compli
cations\, but in recent years it started to enjoy a systematic development
. It turns out that the theory is much richer\, and the role that sVec mon
opolized in characteristic zero can now be played by any incompressible ca
tegory. The family of incompressible categories is conjecturally classifie
d\, and includes at least a countable nested sequence\, the so-called Verl
inde categories.\nIt is presumed that each incompressible category should
host its own flavor of well-behaved commutative algebra and geometry\, in
the same way that Vec and sVec give rise to geometry and super geometry. I
n particular\, it should provide some interesting group scheme theory. How
ever\, such group schemes are not well understood\, even through examples.
\nI will start the talk with an account of this recent history\, followin
g works of Benson\, Coulembier\, Etingof and Ostrik. Then I will discuss h
ow to obtain group schemes from Lie algebras\, and report on joint work in
progress with Angiono and Plavnik where we generalize the construction of
contragredient Lie algebras (those of the form g(A) for a Cartan matrix A
) from sVec to any symmetric category.
DTSTART;TZID=America/Los_Angeles:20231114T134500
LAST-MODIFIED:20231109T175934Z
LOCATION:PDL C-38
SEQUENCE:282
SUMMARY:: Towards group scheme theory in incompressible tensor categories
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-14/towards-group-scheme-theo
ry-incompressible-tensor-categories
END:VEVENT
BEGIN:VEVENT
UID:26501cdd-53c1-4565-9568-1699795b15e1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231108T222120Z
DESCRIPTION:Speaker: Dhruv Bhatia\, University of Washington\n\nAlgebraic g
eometry is the study of algebraic sets: common zero sets of polynomials. D
ue to the correspondence of algebraic sets with ideals in multivariable po
lynomial rings over a field\, many computations related to algebraic sets
involve computations on these ideals. We will investigate a division algor
ithm for multivariable polynomials\, and see how Gröbner bases can be used
as a computational tool with various applications. No algebraic geometry
background required!
DTSTART;TZID=America/Los_Angeles:20231115T160000
DTEND;TZID=America/Los_Angeles:20231115T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU B006
SEQUENCE:283
SUMMARY:: Algebraic Geometry Student's Seminar : Introduction to Gröbner Ba
ses
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-16/algebraic-geometry-studen
ts-seminar-introduction-grobner-bases
END:VEVENT
BEGIN:VEVENT
UID:4a61472d-8a82-4350-a6e3-6fa2d6fbf66e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231112T225320Z
DESCRIPTION:Speaker: Kevin Tully\, University of Washington\n\nLoosely spea
king\, a Lévy process looks like Brownian motion interlaced with random ju
mps at random times. In this expository talk\, we will discuss how long it
should take a Lévy process to find a small target on a manifold (includin
g two fan favorites: the torus and the sphere) as the target shrinks to a
point. To accomplish this\, we will study the infinitesimal generator of t
he Lévy process\, with a particular eye toward the impact of geometry and
microlocal analysis.
DTSTART;TZID=America/Los_Angeles:20231116T123000
DTEND;TZID=America/Los_Angeles:20231116T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:284
SUMMARY:: Expected Stopping Time for Lévy Processes on Manifolds
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-16/expected-stopping-time-le
vy-processes-manifolds
END:VEVENT
BEGIN:VEVENT
UID:56d3198b-246f-4b23-9b62-6bd31949f90e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231114T215742Z
DESCRIPTION:Speaker: Courtney Paquette\, McGill University\n\nI will discus
s the differences between the two and how to get into industry research. I
n particular\, I will discuss research scientist positions at tech compani
es.
DTSTART;TZID=America/Los_Angeles:20231116T130000
DTEND;TZID=America/Los_Angeles:20231116T140000
LAST-MODIFIED:20231114T215742Z
LOCATION:PDL C-38
SEQUENCE:285
SUMMARY:: Academia versus Industry Research Labs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-16/academia-versus-industry-
research-labs
END:VEVENT
BEGIN:VEVENT
UID:3cbed8e3-cde1-4ca3-9c8f-d8c38df2bc4a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230928T204548Z
DESCRIPTION:Speaker: William Balderrama\, University of Virginia\n\nChromat
ic homotopy theory is an approach to understanding the stable homotopy gro
ups of spheres\, and stable homotopy theory in general\, which filters the
stable category by a form of complexity called 'height'. The height 1 por
tion of the sphere spectrum corresponds to what is seen by topological K-t
heory\, through the J-homomorphism and the Hurewicz image of KO. Higher he
ight phenomena is detected by certain generalizations of K-theory\, namely
the Morava E-theories and their fixed points.\n \nI will talk about some
of my work importing pieces of this story to the setting of equivariant st
able homotopy theory. In particular\, I will describe some computations an
d applications of equivariant K-theory and higher chromatic analogues.\n\n
There will be a pre-talk aimed at graduate students 2:30-3:20 in PDL C-401
.
DTSTART;TZID=America/Los_Angeles:20231116T153000
DTEND;TZID=America/Los_Angeles:20231116T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:286
SUMMARY:: Equivariant K-theory and higher chromatic analogues
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-16/equivariant-k-theory-and-
higher-chromatic-analogues
END:VEVENT
BEGIN:VEVENT
UID:ec847ccd-f0f8-46f9-b764-a339ba8a07cc
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions
CLASS:PUBLIC
CREATED:20231020T195745Z
DESCRIPTION:Speaker: Stefan Steinerberger (and possibly others)\n\nThis eve
nt is aimed at graduate students who are entering the research focused pha
se of the PhD program. We will discuss how to get started on research\,
the role of an advisor\, how to choose one\, suggestions for how to use yo
ur research time effectively\, how to prepare for the general exam\, and w
hat really happens at a thesis defense. This talk will focus on general a
dvice and encouragement. All are welcome to attend\, ask questions\, and
share their experiences.\nThis event is cross listed with the Current Top
ics Seminar.
DTSTART;TZID=America/Los_Angeles:20231116T163000
DTEND;TZID=America/Los_Angeles:20231116T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38
SEQUENCE:287
SUMMARY:: Transition into Research
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-17/transition-research
END:VEVENT
BEGIN:VEVENT
UID:662b0aa0-2742-46b4-ae74-68da1988937e
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20230922T222047Z
DESCRIPTION:Speaker: Courtney Paquette (McGill University)\n\nModern machin
e learning (ML) applications grapple with the challenges posed by high-dim
ensional datasets and high-dimensional parameter spaces. Stochastic gradie
nt descent (SGD) and its variants have emerged as the go-to algorithms for
optimizing in this expansive space. However\, the classical analysis of a
lgorithms\, rooted in low-dimensional geometry\, often leads to misconcept
ions in the realm of modern ML. In this talk\, we delve into the intricaci
es of high-dimensional phenomena in machine learning optimization landscap
es. The talk begins with an exploration of typical stochastic algorithms a
nd emphasizes the crucial role that high-dimensionality plays in shaping t
heir behavior. Drawing on tools from high-dimensional probability\, stocha
stic differential equations (SDEs)\, random matrix theory\, and optimizati
on\, we present a framework for analyzing the dynamics of SGD in scenarios
where both the number of samples and parameters are large. The resulting
limiting dynamics are governed by an ordinary differential equation (ODE)\
, providing valuable insights into algorithmic choices such as hyper-param
eters. We demonstrate the applicability of this framework on real datasets
\, highlighting its alignment with actual performance.
DTSTART;TZID=America/Los_Angeles:20231117T153000
LAST-MODIFIED:20231109T214919Z
LOCATION:ECE 125
SEQUENCE:288
SUMMARY:: Hitting the High-D(imensional) Notes: Stochastic Gradient Descent
Learning Dynamics
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-17/hitting-high-dimensional-
notes-stochastic-gradient-descent-learning-dynamics
END:VEVENT
BEGIN:VEVENT
UID:342ef801-95e8-406c-9f28-fd239511ce5b
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173403Z
DESCRIPTION:: Special Colloquium\n\nJHN 102\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-11-20/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231120T093000
DTEND;TZID=America/Los_Angeles:20231120T102000
LAST-MODIFIED:20231118T002931Z
LOCATION:JHN 102
SEQUENCE:289
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-20/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:77762b78-ff3a-4290-9ca2-cac5f9a266fc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230917T002332Z
DESCRIPTION:Speaker: David Aldous \, U.C. Berkeley and University of Washin
gton\n\nIn the critical beta-splitting model of a random \$n\$-leaf rooted
tree\, clades (subtrees) are recursively split into sub-clades\, and a cl
ade of \$m\$ leaves is split into sub-clades containing \$i\$ and \$m-i\$
leaves with probabilities \$\propto 1/(i(m-i))\$. This model turns out t
o have interesting properties: a wide range of results and open problems c
an be found in two preprints at https://arxiv.org/abs/2302.05066 and https
://arxiv.org/abs/2303.02529.\n\nIn brief:There is a canonical embedding in
to a continuous-time model (CTCS(n)). There is an inductive construction o
f CTCS(n) as \$n\$ increases\, analogous to the stick-breaking constructio
ns of the uniform random tree and its limit continuum random tree. We stud
y the heights of leaves and the limit {\em fringe distribution} relative t
o a random leaf. \nThere is a scaling limit\, a process of fragmentation o
f the unit interval. In addition to familiar probabilistic methods\, there
are analytic methods (developed by co-author Boris Pittel) based on expli
cit recurrences which often give more precise results. So this model prov
ides an interesting concrete setting in which to compare and contrast thes
e methods.
DTSTART;TZID=America/Los_Angeles:20231120T143000
DTEND;TZID=America/Los_Angeles:20231120T152000
LAST-MODIFIED:20230917T002332Z
LOCATION:SMI 305
SEQUENCE:290
SUMMARY:: The Critical Beta-splitting Random Tree
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-20/critical-beta-splitting-r
andom-tree
END:VEVENT
BEGIN:VEVENT
UID:655343cf-7b56-4731-bab2-fb3012eeeff3
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173525Z
DESCRIPTION:: Special Colloquium\n\nMGH 389\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-11-21/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231121T093000
DTEND;TZID=America/Los_Angeles:20231121T102000
LAST-MODIFIED:20231116T173525Z
LOCATION:MGH 389
SEQUENCE:291
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-21/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:31e8d7de-6f8d-44df-a046-2d1bf0f67dd5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231003T220058Z
DESCRIPTION:Speaker: Janne Junnila\, University of Helsinki\n\nIn this talk
I will discuss Jordan curves on the Riemann sphere passing through finite
ly many given points with the property that every arc between two consecut
ive points is a hyperbolic geodesic in the simply connected region bounded
by the rest of the arcs. During the first half of the talk I will present
interesting alternative characterisations of these curves and discuss the
ir existence\, mainly following earlier works by Marshall\, Rohde and Wang
. The second half will be focusing on showing that every isotopy class of
curves passing through at least three fixed points contains a unique diffe
rentiable piecewise geodesic curve\, and is based on upcoming joint work w
ith Bonk\, Marshall\, Rohde and Wang.
DTSTART;TZID=America/Los_Angeles:20231121T133000
DTEND;TZID=America/Los_Angeles:20231121T153000
LAST-MODIFIED:20231115T212443Z
LOCATION:PDL C-401
SEQUENCE:292
SUMMARY:: Piecewise geodesic Jordan curves on the sphere
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-21/piecewise-geodesic-jordan
-curves-sphere
END:VEVENT
BEGIN:VEVENT
UID:b795fe68-198b-4448-939a-06e5b7aac4c3
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231117T181442Z
DESCRIPTION:Speaker: Nathan Chen (Columbia)\n\n\n\nMain talk (2:30pm)\n\n\n
\n\nTitle: Nowhere vanishing one-forms and fibrations over abelian varieti
es\nAbstract: A result of Popa and Schnell shows that any holomorphic one-
form on a smooth complex projective variety of general type vanishes somew
here. In this talk\, we will explore a complementary question: given a var
iety of intermediate Kodaira dimension\, what can we say about the geometr
y of the variety if it carries a set of g pointwise linearly independent h
olomorphic one-forms? Our main result is a classification of all such vari
eties if the Kodaira ``codimension' is equal to g. This is joint work with
Ben Church and Feng Hao.\n\n\n\n\n\nPre-talk (1:45pm) Title: A brief intr
oduction to measures of irrationalityAbstract: The classical question of d
etermining which varieties are rational has led to a huge amount of intere
st and activity. On the other hand\, one can consider a complementary pers
pective - given a smooth projective variety whose nonrationality is known\
, how 'irrational' is it? I will survey what is currently known\, with an
emphasis on surfaces and open problems.
DTSTART;TZID=America/Los_Angeles:20231121T143000
LAST-MODIFIED:20231117T181442Z
LOCATION:PDL C-38
SEQUENCE:293
SUMMARY:: Nowhere vanishing one-forms and fibrations over abelian varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-21/nowhere-vanishing-one-for
ms-and-fibrations-over-abelian-varieties
END:VEVENT
BEGIN:VEVENT
UID:ed672180-5fb4-4445-aa89-c33ca20d91b8
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173553Z
DESCRIPTION:: Special Colloquium\n\nJHN 102\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-11-27/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231127T093000
DTEND;TZID=America/Los_Angeles:20231127T102000
LAST-MODIFIED:20231118T003712Z
LOCATION:JHN 102
SEQUENCE:294
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-27/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:19ae893b-aa77-45f0-bcaf-94104f73f893
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231115T043634Z
DESCRIPTION:Speaker: Andrea Ottolini\, University of Washington\n\nConsider
a dense Erdös-Rényi random graphs with parameters \$n\$ and \$p\$\, with
\$p\$ fixed in (0\,1). Let \$H_n(p)\$ be the hitting time between two dist
inct vertices: run simple random walk from a vertex \$w\$\, wait until it
hits another vertex \$v\$\, and average over the random walk. What does th
e distribution of \$H_n(p)\$ look like? Heuristic from the physics literat
ure suggests \$H_n(p)\$ concentrates around \$n\$. Löwe and Terveer settle
d the question when the starting point is randomized according to the stat
ionary distribution\, showing also a central limit theorem for the fluctua
tions. In joint work with Steinerberger\, we show that \$H_n(p)\$ satisfie
s\, with high probability and up to \$o(1)\$ error\, an extremely neat and
simple formula. Easy corollaries include a central limit theorem for \$H_
n(p)\$ from any starting point (deterministic or random).
DTSTART;TZID=America/Los_Angeles:20231127T143000
DTEND;TZID=America/Los_Angeles:20231127T152000
LAST-MODIFIED:20231115T043839Z
LOCATION:SMI 305
SEQUENCE:295
SUMMARY:: Hitting times in Erdös-Rényi random graphs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-27/hitting-times-erdos-renyi
-random-graphs
END:VEVENT
BEGIN:VEVENT
UID:83507b67-a72d-437f-9a97-1ae96a9de2af
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173610Z
DESCRIPTION:: Special Colloquium\n\nMGH 389\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-11-28/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231128T093000
DTEND;TZID=America/Los_Angeles:20231128T102000
LAST-MODIFIED:20231118T003735Z
LOCATION:MGH 389
SEQUENCE:296
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-28/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:e5f2855b-071d-4913-b552-2ae9c11ff910
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231012T233619Z
DESCRIPTION:Speaker: Lyudmila Korobenko (Reed College)\n\nSobolev and Poinc
ar\'{e} inequalities play a central role in the regularity theory of ellip
tic operators. This theory can be adapted to the case when ellipticity deg
enerates\, but one has to work in a certain metric measure space associate
d to the operator instead of the Euclidean space. Investigating geometric
properties of these metric measure spaces can provide powerful tools to ta
ckle regularity questions. One of the central questions for PDEs is what t
ypes of Sobolev inequalities (if any) such a space supports. On the other
hand\, if a metric measure space is known to support a Sobolev inequality\
, one can deduce some interesting geometric properties\, such as the doubl
ing condition. In this talk I will discuss connections between geometric p
roperties of metric measure spaces\, functional inequalities\, and regular
ity theory for degenerate elliptic operators.
DTSTART;TZID=America/Los_Angeles:20231128T133000
DTEND;TZID=America/Los_Angeles:20231128T153000
LAST-MODIFIED:20231114T020335Z
LOCATION:PDL C-401
SEQUENCE:297
SUMMARY:: Sobolev inequalities\, metric measure spaces\, and degenerate ell
iptic PDEs.
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-28/sobolev-inequalities-metr
ic-measure-spaces-and-degenerate-elliptic-pdes
END:VEVENT
BEGIN:VEVENT
UID:09f28ef1-c706-4301-a48c-918feb120941
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231124T205152Z
DESCRIPTION:Speaker: Talon Stark (UCLA)\n\n\n\nPretalk title: Cones of divi
sors\, the cone theorem\, and the cone conjecture.\nPretalk abstract: The
finite-dimensional vector space of divisors modulo numerical equivalence o
n a projective variety X contains several convex cones that tell you very
concrete and useful geometric information about X. We will explore the str
ucture of a few of these cones through theorems and examples\, building up
to some current work of myself and Joaquín Moraga.\n\n\nTalk title: The c
one conjecture in relative dimension 2\nAbstract: We motivate the cone con
jecture\, discussing its uses and progress that has been made\, and then d
iscuss some work of myself and Joaquín Moraga. We will outline the proof o
f the relative cone conjecture in relative dimension 2.
DTSTART;TZID=America/Los_Angeles:20231128T134500
LAST-MODIFIED:20231124T205152Z
LOCATION:PDL C-38
SEQUENCE:298
SUMMARY:: The cone conjecture in relative dimension 2
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-28/cone-conjecture-relative-
dimension-2
END:VEVENT
BEGIN:VEVENT
UID:9b63e46c-68ca-4be9-9ceb-bb344b7c6815
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173633Z
DESCRIPTION:: Special Colloquium\n\nJHN 102\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-11-29/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231129T093000
DTEND;TZID=America/Los_Angeles:20231129T102000
LAST-MODIFIED:20231118T003751Z
LOCATION:JHN 102
SEQUENCE:299
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-29/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:bfd159e9-d1a7-445a-9fbf-af680dc6bcce
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231127T193152Z
DESCRIPTION:Speaker: Justin Curry\, University at Albany SUNY\n\nBeginning
with an intuitive description of topology\, I will describe the topologica
l data analysis (TDA) pipeline\, which maps data to summary objects such a
s Betti curves\, merge trees\, and persistence diagrams. This pipeline can
be viewed as a sequence of maps between spaces\, which are typically many
-to-one. Studying the inverse problem for these maps yields interesting co
nnections between data science\, geometry\, and combinatorics. I will desc
ribe one inverse problem in detail\, which exemplifies how merge trees and
the symmetric group combine to give a new summary statistic for neuroscie
nce. \n \nAll are welcome to attend as this talk assumes no pre-requisites
in topology or data science.
DTSTART;TZID=America/Los_Angeles:20231129T130000
DTEND;TZID=America/Los_Angeles:20231129T140000
LAST-MODIFIED:20240822T184151Z
LOCATION:SMI 311
SEQUENCE:300
SUMMARY:: Inverse Problems in Topological Data Analysis
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-29/inverse-problems-topologi
cal-data-analysis
END:VEVENT
BEGIN:VEVENT
UID:771879e6-328f-4dd6-a1e7-5ffd340acbb9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T214518Z
DESCRIPTION:Speaker: Isaiah Siegl\, University of Washington\n\nAbstract:\n
The chromatic symmetric function \(X_G\) of a graph \(G\) was introduced b
y Richard Stanley in 1995 as a generalization of the chromatic polynomial.
The chromatic symmetric function has particularly interesting properties
when \(G\) is the incomparability graph of a \((3+1)\)-free poset. In this
case\, \(X_G\) has positive integer coefficients when expanded in the bas
is of Schur functions\, and the Stanley-Stembridge conjecture states that
\(X_G\) has positive integer coefficients when expanded in the basis of el
ementary symmetric functions. For a \((3+1)\)-free poset \(P\)\, we define
a ring of \(P\)-analogues of symmetric functions in noncommuting variable
s and reformulate the Stanley-Stembridge conjecture into a conjecture abou
t this ring. With this formulation\, we show that the coefficient of the e
lementary symmetric function \(e_\lambda\) is a non-negative integer when
\(\lambda\) is a two-column\, hook\, or rectangular shape. This talk is ba
sed on joint work with Jonah Blasiak\, Holden Eriksson\, and Pavlo Pylyavs
kyy.\nNote: This talk begins with a pre-seminar (aimed at graduate student
s) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: https:/
/washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231129T153000
DTEND;TZID=America/Los_Angeles:20231129T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:301
SUMMARY:: A noncommutative Schur function approach to chromatic symmetric f
unctions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-29/noncommutative-schur-func
tion-approach-chromatic-symmetric-functions
END:VEVENT
BEGIN:VEVENT
UID:380869a9-69c8-4790-a835-e078574cada2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231113T005500Z
DESCRIPTION:Speaker: Ting Gong\, University of Washington\n\nIn this talk\,
we are going to introduce Hodge structure\, and show that the smooth proj
ective varieties have them by using differential geometry\, spectral seque
nce and comparison theorems of cohomologies. Then I am going to talk about
further generalizations\, the Hodge conjecture\, and some arithmetic exte
nsions of the result.
DTSTART;TZID=America/Los_Angeles:20231129T160000
DTEND;TZID=America/Los_Angeles:20231129T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU B006
SEQUENCE:302
SUMMARY:: Algebraic Geometry Student's Seminar : Hodge Structures: what are
they and where to find them
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-30/algebraic-geometry-studen
ts-seminar-hodge-structures-what-are-they-and-where-find
END:VEVENT
BEGIN:VEVENT
UID:0dbecc86-81d9-4d1d-84cb-235f40fb94fa
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173647Z
DESCRIPTION:: Special Colloquium\n\nSMI 211\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-11-30/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231130T093000
DTEND;TZID=America/Los_Angeles:20231130T102000
LAST-MODIFIED:20231118T003826Z
LOCATION:SMI 211
SEQUENCE:303
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-30/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:58c2de8e-6630-42e9-9e4e-9d8f362e2d0e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities\, Workshops
CLASS:PUBLIC
CREATED:20231127T224222Z
DESCRIPTION:Speaker: Ruirui Wu\, University of Washington\n\nThe classical
Runge approximation property for uniformly elliptic equations states that
it is possible to approximate solutions to an equation in the smaller doma
in by solutions of the same equation in the larger domain. In this talk\,
we will discuss how this property boils down to the unique continuation pr
operty\, and how it leads to the Poisson embedding approach to the Calderó
n problem as one of its many applications in the inverse problems.
DTSTART;TZID=America/Los_Angeles:20231130T123000
DTEND;TZID=America/Los_Angeles:20231130T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:304
SUMMARY:: Runge approximation and its application in Calderón type inverse
problems
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-30/runge-approximation-and-i
ts-application-calderon-type-inverse-problems
END:VEVENT
BEGIN:VEVENT
UID:ba427fb7-f958-4aa8-803d-80e69ae6bf2b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231107T185628Z
DESCRIPTION:Speaker: Mariana Smit Vega Garcia\, Western Washington Universi
ty\n\nIn this talk\, we will learn more about free boundary problems\, whi
ch form a class of partial differential equations that are super cool and
challenging to deal with (as usual\, nothing is free in life!) We will see
examples of such problems and explore techniques used to study them. \n
Format of event: \nPart I: General audience math talk (2:00pm - 2:50pm)\nC
OFFEE BREAK (10 minutes)\nPart II: Advice for early career mathematicians
(3:00pm - 3:20pm)
DTSTART;TZID=America/Los_Angeles:20231130T140000
DTEND;TZID=America/Los_Angeles:20231130T152000
LAST-MODIFIED:20231123T004510Z
LOCATION:THO 125
SEQUENCE:305
SUMMARY:: What connects the melting of ice\, a Brazilian favorite dish\, an
d walls?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-30/what-connects-melting-ice
-brazilian-favorite-dish-and-walls
END:VEVENT
BEGIN:VEVENT
UID:ce687bad-6021-4393-a081-bc7b2d2fb8fe
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230909T170415Z
DESCRIPTION:Speaker: Justin Curry\, University at Albany SUNY\n\nIn this ta
lk I will describe a new model for time-varying graphs (TVGs) based on per
sistent topology and cosheaves. In its simplest form\, this model presents
TVGs as matrices with entries in the semi-ring of subsets of time\; apply
ing the classic Kleene star construction yields novel summary statistics f
or space networks (such as STARLINK) called 'lifetime curves.' In its more
complex form\, this model leads to a natural featurization and discrimina
tion of certain Earth-Moon-Mars communication scenarios using zig-zag pers
istent homology. Finally\, and if time allows\, I will describe recent wor
k with David Spivak and NASA\, which provides a complete description of de
lay tolerant networking (DTN) in terms of an enriched double category.\nTh
ere also will be a pre-talk 2:30-3:15 in PDL C-401 aimed at graduate stude
nts.
DTSTART;TZID=America/Los_Angeles:20231130T153000
DTEND;TZID=America/Los_Angeles:20231130T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:306
SUMMARY:: Algebraic and Geometric Models for Space Communications
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-11-30/algebraic-and-geometric-m
odels-space-communications
END:VEVENT
BEGIN:VEVENT
UID:fa6be220-fd46-43cd-8971-25a83bc392fa
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231106T193656Z
DESCRIPTION:Speaker: Farbod Shokrieh\n\nBerkovich's theory of analytic spac
es generalizes the notion of complex manifolds\, where the field of comple
x numbers is replaced by a general valued field\, (for example\, p-adic nu
mbers or Laurent series). The general theory has applications in various f
ields including arithmetic/Arakelov geometry\, tropical geometry and combi
natorics\, complex geometry\, dynamics\, etc. This talk will give a gentle
introduction to the subject. If time permits\, I might even talk about so
me applications or connections to other areas of mathematics.
DTSTART;TZID=America/Los_Angeles:20231130T163000
DTEND;TZID=America/Los_Angeles:20231130T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:307
SUMMARY:: Analytic geometry (over archimedean and non-archimedean fields)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-01/analytic-geometry-over-ar
chimedean-and-non-archimedean-fields
END:VEVENT
BEGIN:VEVENT
UID:3025363b-2d8d-44ec-bf16-cc9d27357f68
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20231127T210427Z
DESCRIPTION:Speaker: Josh Cutler\n\n'Stochastic Approximation with Dynamic
Distributions'\nAdvisor: Dmitriy Drusvyatskiy
DTSTART;TZID=America/Los_Angeles:20231201T153000
LAST-MODIFIED:20231127T210427Z
LOCATION:Remote
SEQUENCE:308
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-01/final-exam
END:VEVENT
BEGIN:VEVENT
UID:76e34f01-fc17-4ea7-a82b-c2e3c330c7e4
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20230922T222347Z
DESCRIPTION:Speaker: Katherine E. Stange (University of Colorado\, Boulder)
\n\nPrimitive integral Apollonian circle packings are fractal arrangements
of tangent circles with integer curvatures. The curvatures form an orbit
of a 'thin group\,' a subgroup of an arithmetic group having infinite ind
ex in its Zariski closure. The curvatures that appear must fall into one
of six or eight residue classes modulo 24. The twenty-year old local-globa
l conjecture states that every sufficiently large integer in one of these
residue classes will appear as a curvature in the packing. We prove that t
his conjecture is false for many packings\, by proving that certain quadra
tic and quartic families are missed. The new obstructions are a property o
f the thin Apollonian group (and not its Zariski closure)\, and are a resu
lt of quadratic and quartic reciprocity\, reminiscent of a Brauer-Manin ob
struction. Based on computational evidence\, we formulate a new conjecture
. This is joint work with Summer Haag\, Clyde Kertzer\, and James Rickard
s. Time permitting\, I will discuss some new results\, joint with Rickard
s\, that extend these phenomena to certain settings in the study of contin
ued fractions.
DTSTART;TZID=America/Los_Angeles:20231201T153000
LAST-MODIFIED:20231129T045800Z
LOCATION:ECE 125
SEQUENCE:309
SUMMARY:: The local-global conjecture for Apollonian circle packings is fal
se
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-01/local-global-conjecture-a
pollonian-circle-packings-false
END:VEVENT
BEGIN:VEVENT
UID:32342ac9-10f2-4a0a-93ce-59de64c26fd1
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173806Z
DESCRIPTION:: Special Colloquium\n\nJHN 102\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-12-04/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231204T093000
DTEND;TZID=America/Los_Angeles:20231204T102000
LAST-MODIFIED:20231118T003847Z
LOCATION:JHN 102
SEQUENCE:310
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-04/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:12fd4b39-6df4-4730-b8de-628865142e7a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231121T173306Z
DESCRIPTION:Speaker: Jon A. Wellner\, University of Washington\n\nChernoff'
s method is used for proving exponential bounds\, especially in connection
with problems involving (weighted) sums of independent random variables.
By using Chernoff's method twice\, Montgomery and Odlyzko developed a meth
od for weighted sums of Rademacher random variables which can be used to p
rove matching upper and lower exponential bounds. Chatterjee and Diaconis
(2014) used these bounds to establish limit theory for Bose-Einstein stati
stics. In this talk I will review these developments related to Chernoff's
method and its use in connection with the 'Bose-Einstein condensate.'
DTSTART;TZID=America/Los_Angeles:20231204T143000
DTEND;TZID=America/Los_Angeles:20231204T152000
LAST-MODIFIED:20231121T173448Z
LOCATION:SMI 305
SEQUENCE:311
SUMMARY:: Limit Theory for Bose-Einstein statistics via Chernoff's method
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-04/limit-theory-bose-einstei
n-statistics-chernoffs-method
END:VEVENT
BEGIN:VEVENT
UID:5b29b18f-41bb-43f0-97fd-fc8d3a7ebb5e
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173826Z
DESCRIPTION:: Special Colloquium\n\nMGH 389\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-12-05/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231205T093000
DTEND;TZID=America/Los_Angeles:20231205T102000
LAST-MODIFIED:20231118T003901Z
LOCATION:MGH 389
SEQUENCE:312
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-05/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:af94383d-0540-4980-aae6-80cc28248d0a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231201T225700Z
DESCRIPTION:Speaker: Kimoi Kemboi (IAS)\n\n\n\n\nPre-talk: What is a Phanto
m?\nAbstract: We will review key features of derived categories and introd
uce a mysterious class of subcategories called phantoms.\n\n\nTitle: Excep
tional Collections and Window Categories \nAbstract: The derived category
of a variety is a crucial algebraic invariant with several profound implic
ations on the geometry of the underlying variety. This talk will focus on
a particular structure of derived categories called a full exceptional col
lection. We will discuss the landscape of full exceptional collections and
then explore how to produce them for linear GIT quotients using ideas fro
m 'window' categories and equivariant geometry. As an example\, we will co
nsider a large class of linear GIT quotients by a reductive group of rank
two\, where this machinery produces full exceptional collections consistin
g of tautological vector bundles. \nThis talk is based on joint work with
Daniel Halpern-Leistner.
DTSTART;TZID=America/Los_Angeles:20231205T134500
LAST-MODIFIED:20231205T020432Z
LOCATION:PDL C-38
SEQUENCE:313
SUMMARY:: Exceptional Collections and Window Categories
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-05/exceptional-collections-a
nd-window-categories
END:VEVENT
BEGIN:VEVENT
UID:b5490534-34f2-4465-980f-db7cd57e6a46
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20221115T213603Z
DESCRIPTION:AGENDA\n\n\n\nExecutive Session\nAdjournment\n\nZoom link - htt
ps://washington.zoom.us/j/99265361200\nMeeting ID: 992 6536 1200\nOne tap
mobile+12063379723\,\,99265361200# US (Seattle)+12532158782\,\,99265361200
# US (Tacoma)
DTSTART;TZID=America/Los_Angeles:20231205T153000
DTEND;TZID=America/Los_Angeles:20231205T163000
LAST-MODIFIED:20231127T231731Z
LOCATION:via Zoom
SEQUENCE:314
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-05/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:93f2009c-4c4e-4596-90e7-87f687564f28
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173837Z
DESCRIPTION:: Special Colloquium\n\nJHN 102\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-12-06/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231206T093000
DTEND;TZID=America/Los_Angeles:20231206T102000
LAST-MODIFIED:20231118T003920Z
LOCATION:JHN 102
SEQUENCE:315
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-06/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:b1a82dab-7fed-4257-b535-48e37e28cb42
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230922T184258Z
DESCRIPTION:Speaker: Christopher O'Neill\, San Diego State University\n\nAb
stract:\nA numerical semigroup is a subset \(S\) of the natural numbers th
at is closed under addition. One of the primary attributes of interest in
commutative algebra are the relations (or trades) between the generators
of \(S\)\; any particular choice of minimal trades is called a minimal pre
sentation of \(S\) (this is equivalent to choosing a minimal binomial gene
rating set for the defining toric ideal of \(S\)). In this talk\, we pres
ent a method of constructing a minimal presentation of \(S\) from a portio
n of its divisibility poset. Time permitting\, we will explore connection
s to polyhedral geometry. \nNo familiarity with numerical semigroups or to
ric ideals will be assumed for this talk. \n\nNote: This talk begins with
a pre-seminar (aimed at graduate students) at 3:30–4:00\, as detailed belo
w. The main talk starts at 4:10.\nPre-seminar: The combinatorics of polyhe
dra\nWhen someone refers to 'the combinatorics' of a polyhedron\, they usu
ally mean its face lattice\, i.e.\, its collection of faces\, ordered by c
ontainment. In this pre-seminar talk\, we will explore several well-studi
ed families of polyhedra whose face lattices also arise in enumerative com
binatorics. \nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974M
eeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20231206T153000
DTEND;TZID=America/Los_Angeles:20231206T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:316
SUMMARY:: Numerical semigroups\, minimal presentations\, and posets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-06/numerical-semigroups-mini
mal-presentations-and-posets
END:VEVENT
BEGIN:VEVENT
UID:f097d340-8123-430d-85e1-40166ae1136e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20231128T032520Z
DESCRIPTION:Speaker: Michael Zeng\, University of Washington \n\nThis talk
contains a surface-level overview of algebraic K-theory and related topics
. We begin by motivating the construction of $K_0$ of a ring via the Serre
-Swan theorem\, which connects vector bundles and topological K-theory wit
h projective modules. Then\, we construct $K_1\, K_2$ and give examples. N
ext\, we introduce Quillen's constructions for higher K-groups via classif
ying spaces. Time permitting\, we may discuss combinatorial aspects of K-t
heory.
DTSTART;TZID=America/Los_Angeles:20231206T160000
DTEND;TZID=America/Los_Angeles:20231206T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU B006
SEQUENCE:317
SUMMARY:: Algebraic Geometry Student's Seminar : A Leisurely Introduction t
o Algebraic K-Theory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-07/algebraic-geometry-studen
ts-seminar-leisurely-introduction-algebraic-k-theory
END:VEVENT
BEGIN:VEVENT
UID:05a4c0c1-277d-4104-a6f5-aa6426df39a3
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Special Events
CLASS:PUBLIC
CREATED:20231116T173853Z
DESCRIPTION:: Special Colloquium\n\nSMI 211\nLectures\, Special Events\nhtt
ps://math.washington.edu/events/2023-12-07/special-colloquium
DTSTART;TZID=America/Los_Angeles:20231207T093000
DTEND;TZID=America/Los_Angeles:20231207T102000
LAST-MODIFIED:20231118T003944Z
LOCATION:SMI 211
SEQUENCE:318
SUMMARY:: Special Colloquium
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-07/special-colloquium
END:VEVENT
BEGIN:VEVENT
UID:4576c495-4c7c-4cb8-8d59-7976a6228ab0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231201T230316Z
DESCRIPTION:Speaker: Chad Giusti\, Oregon State University\n\nThe stimulus
space model for neural population activity describes the activity of indiv
idual neurons as points localized in a metric stimulus space\, with firing
rate falling off with distance to individual stimuli. Examples include si
mple cells in visual cortex\, place cells in hippocampus\, and grid cells
in entorhinal cortex. We will briefly review this model and explain why an
d how methods from topological data analysis allow us to extract the quali
tative structure of such spaces directly from measures of neural populatio
n activity. We will discuss challenges that arise when studying whether mu
ltiple neural populations encode the same topological structure\, and sket
ch an approach to solving this problem. Finally\, we will describe recent
computational investigations into learning circular coordinate systems in
feed-forward networks that leverage these tools. Time permitting\, we will
also survey some prior work using topology to study mesoscale structure i
n white matter tracts in the human brain. No prior knowledge of topologica
l methods will be assumed.
DTSTART;TZID=America/Los_Angeles:20231207T130000
DTEND;TZID=America/Los_Angeles:20231207T140000
LAST-MODIFIED:20240822T184151Z
LOCATION:SMI 309
SEQUENCE:319
SUMMARY:: CANCELED: Learning cyclic structure in neural population codes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-07/learning-cyclic-structure
-neural-population-codes
END:VEVENT
BEGIN:VEVENT
UID:fa5de64f-064e-4706-8601-57a02140ba6b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231204T030122Z
DESCRIPTION:Speaker: Hadrian Quan\n\nThe behavior of solutions to the wave
equation on a Riemannian manifold has a close relationship with both the b
ehavior of geodesics and the spectrum of the Laplacian. In this talk\, fol
lowing Duistermaat-Guillemin\, we study the wave solution operator on asym
ptotically complex hyperbolic manifolds and analyze of its (regularized) t
race. On this class of non-compact manifolds\, modeled on the complex ball
with its Bergman metric\, we prove in particular that the leading term ar
ises as a renormalized volume of this non-compact space\, and prove a rela
tionship between singularities of the wave trace and the lengths of closed
geodesics.
DTSTART;TZID=America/Los_Angeles:20231207T140000
DTEND;TZID=America/Los_Angeles:20231207T150000
LAST-MODIFIED:20231204T031336Z
LOCATION:PDL C-38
SEQUENCE:320
SUMMARY:: The wave trace on asymptotically complex hyperbolic manifolds
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-07/wave-trace-asymptotically
-complex-hyperbolic-manifolds
END:VEVENT
BEGIN:VEVENT
UID:ea6fef19-a74e-4593-960a-a55b6eadf96d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230928T195630Z
DESCRIPTION:Speaker: Chad Giusti\, Oregon State University\n\nThe most comm
on analysis pipeline in applied topology involves computing persistent hom
ology of some filtered simplicial complex derived from data\, then using t
he resulting persistence diagram as a feature for statistical or ML techni
ques. This is the default in part because it is very difficult to compare
persistence modules computed from different data sets directly. In an idea
l world\, we would try to approximate a function between the systems under
lying data sets and apply functoriality to build induced maps. However\, i
n many applications it is unreasonable to assume the existence of such fun
ctions. Even if we have full control over and knowledge of the state of on
e of the systems\, hidden variables and noise in the other will usually re
sult in a range of resulting behaviors and states in the other. Thus\, the
best we can hope for is to observe a relation between system states\, in
the guise of correlation or other cross-similarity. In this talk\, we desc
ribe a method for leveraging such observations to compare persistent homol
ogy classes between related persistence diagrams. This is joint work with
Iris Yoon and Robert Ghrist.
DTSTART;TZID=America/Los_Angeles:20231207T153000
DTEND;TZID=America/Los_Angeles:20231207T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:321
SUMMARY:: CANCELED: Building relations on persistence modules from data
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-07/building-relations-persis
tence-modules-data
END:VEVENT
BEGIN:VEVENT
UID:defda8fb-ab8e-4597-b584-fe3bee685f6c
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events\, Student Activities
CLASS:PUBLIC
CREATED:20231202T050154Z
DESCRIPTION:: WXML Poster Session\n\nPAR 120\nSpecial Events\, Student Acti
vities\nhttps://math.washington.edu/events/2023-12-08/wxml-poster-session
DTSTART;TZID=America/Los_Angeles:20231207T170000
DTEND;TZID=America/Los_Angeles:20231207T183000
LAST-MODIFIED:20240410T204939Z
LOCATION:PAR 120
SEQUENCE:322
SUMMARY:: WXML Poster Session
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-08/wxml-poster-session
END:VEVENT
BEGIN:VEVENT
UID:bee46070-b4e6-435f-9758-d667e3ad8adc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231207T214850Z
DESCRIPTION:Speaker: Tim Duff\n\nReconstructing a 3D scene from multiple im
ages is an intrinsically geometric problem with multiple applications. I w
ill introduce a line of work that aims to characterize the set of all vali
d algebraic constraints that relate any number of perspective cameras\, 3D
points\, and their 2D projections. More formally\, this framework involve
s the study of certain multigraded vanishing ideals. This leads to several
new results\, as well as new proofs of old results about the well-studied
multiview ideal. For example\, we give some perspective about a 'folklore
theorem' from geometric computer vision which roughly states: 'all algebr
aic constraints on the 2D projections of 3D points can be obtained from th
ose involving 2\, 3\, or 4 cameras.' I will also discuss a complementary l
ine of work focused on practical estimation methods. Incremental 3D recons
truction systems usually focus on estimating the relative orientation of t
wo cameras. This in turn requires solving systems of algebraic equations w
ith (very) special structure. I will describe recent progress extending th
e domain of such solvers to problems involving three or four cameras\, inc
luding non-perspective cameras with lens distortion. The key players are n
umerical homotopy continuation methods\, and the Galois/monodromy groups t
hat capture their inherent complexity.
DTSTART;TZID=America/Los_Angeles:20231214T140000
DTEND;TZID=America/Los_Angeles:20231214T150000
LAST-MODIFIED:20231207T214850Z
LOCATION:PDL C-38
SEQUENCE:323
SUMMARY:: Geometry of 2\, 3\, or 4 Cameras
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2023-12-14/geometry-2-3-or-4-cameras
END:VEVENT
BEGIN:VEVENT
UID:3d0f7ca2-400c-474b-90fe-be88e87dc2e1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231229T060214Z
DESCRIPTION:Speaker: Ravi Shankar\, Princeton U.\n\nWe present a recent new
\, doubling method for establishing a priori estimates\, then classical so
lvability and regularity for solutions to fully nonlinear PDEs. The metho
d produces the missing estimates for the quadratic Hessian and prescribed
hypersurface scalar curvature PDEs in dimension four. It also gives new p
roofs of the estimates and regularity for Monge–Ampère and special Lagrang
ian equations\, and provides prospects for classical solvability of altern
ative Dirichlet problems.
DTSTART;TZID=America/Los_Angeles:20240103T160000
DTEND;TZID=America/Los_Angeles:20240103T170000
LAST-MODIFIED:20240101T092335Z
LOCATION:PDL C-38
SEQUENCE:324
SUMMARY:: Doubling method for Monge-Ampere and special Lagrangian type equa
tions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-04/doubling-method-monge-amp
ere-and-special-lagrangian-type-equations
END:VEVENT
BEGIN:VEVENT
UID:8402cfc8-80ac-4b65-8cac-04faf1d6986f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240106T062034Z
DESCRIPTION:Speaker: Junyan Zhao (UIC)\n\n\nPretalk title: Geometry of modu
li of curves\nAbstract: I will introduce some basics concerning moduli spa
ces of algebraic curves. In particular\, I will compute some examples for
small genus cases.\n \nTalk title: Moduli of curves and K-stability\nAbstr
act: In this talk\, I will explore various compactifications of moduli spa
ces of genus six curves\, delving into their intricate interactions. A key
ingredient is the K-moduli spaces of log Fano pairs. The intricate wall c
rossing structure not only yields novel compactifications but also plays a
pivotal role in understanding the Hassett-Keel program of moduli spaces o
f curves.
DTSTART;TZID=America/Los_Angeles:20240109T134500
LAST-MODIFIED:20240106T062034Z
LOCATION:PDL C-38
SEQUENCE:325
SUMMARY:: Moduli of curves and K-stability
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-09/moduli-curves-and-k-stabi
lity
END:VEVENT
BEGIN:VEVENT
UID:fee85e4c-8ae5-4f13-b510-30b13c5b2dda
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20231127T231633Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
Speakers - Rohde\n\n\nCommittee Reports\n\nUndergraduate Program - Taggart
\n\n\nNew Business\nExecutive Session\nAdjournment\n\n\n\nMINUTES\nThe reg
ular meeting of the faculty of the Department of Mathematics was held virt
ually via Zoom at 3:30pm PST\, January 9\, 2024. Max Lieblich\, Chair\, pr
esided at the meeting. Rose Choi was recording secretary.\nChair's Remarks
\nThe Personnel Committee is going over unit adjustments over the next few
weeks.\nThere will be a postdoc hiring meeting on January 30th. Please re
ad James Zhang’s email detailing the timeline and process.\nThe first roun
d of offers for the assistant professor positions have been made.\nThe dep
artment’s retention policy has previously been to delegate the authority f
or these decisions to the Personnel Committee and Chair. In discussion wit
h the Executive Committee\, the recommendation is to renew this policy for
the next two years. A vote was held\, passed\, and approved. \nAnnounceme
nts\nThe Speakers Committee urged faculty to be more active in the colloqu
ium both before at the social gathering and at the talks themselves.\nThe
Chair also encouraged faculty to attend the department tea and socialize w
ith the graduate students.\nCommittee Reports\nThe Undergraduate Program C
ommittee proposes that the department offer credit for Math 120 to student
s earning a score of 3 or higher (out of 5) on the new AP Pre-Calculus Exa
m. A vote was held\, passed\, and approved.\nAs a reminder\, there is a de
pository for undergraduate course materials shared last quarter. It is a g
ood resource for instructors so please consider sharing your materials and
provide any feedback you may have to the UPC.\nADJOURNMENT\nThere being n
o new business and no executive session\, the meeting adjourned at 3:54pm.
DTSTART;TZID=America/Los_Angeles:20240109T153000
DTEND;TZID=America/Los_Angeles:20240109T163000
LAST-MODIFIED:20240206T221659Z
LOCATION:via Zoom
SEQUENCE:326
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-09/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:315d1c7a-5902-47a4-806d-639ce110245a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240103T232451Z
DESCRIPTION:Speaker: Gaku Liu\, University of Washington\n\nAbstract:\nIn t
his talk I will describe the first general construction of regular unimodu
lar triangulations for matroid base polytopes. This construction extends t
o all integral generalized permutahedra. I will also discuss how this rela
tes to White's conjecture in matroid theory. Joint work with Spencer Backm
an.\nNote: This talk begins with a pre-seminar (aimed at graduate students
) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: https://
washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240110T153000
DTEND;TZID=America/Los_Angeles:20240110T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:327
SUMMARY:: A regular unimodular triangulation of the matroid base polytope
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-10/regular-unimodular-triang
ulation-matroid-base-polytope
END:VEVENT
BEGIN:VEVENT
UID:341c3039-f9a9-43d8-b749-014c671b9665
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240106T232303Z
DESCRIPTION:Speaker: Xiaowen Zhu\, University of Washington\n\nTopological
insulators (TI) are a class of 2D materials which behave like insulators i
n their bulk but support robust states along their edges. One of the key p
roperty of TI that is expected to be true is the robustness of the propert
y above w.r.t. the shape of the edge. In this talk\, we will discuss how d
oes shape of edge influence the property of TI above. In particular\, we w
ill both give a general\, intuitive condition for this property to hold\,
and provide a counter-example otherwise. We also show why in practical sit
uation\, experiments may provide misleading results on TI. This work is ba
sed on a joint work with Alexis Drouot.
DTSTART;TZID=America/Los_Angeles:20240111T140000
DTEND;TZID=America/Los_Angeles:20240111T150000
LAST-MODIFIED:20240106T232303Z
LOCATION:PDL C-038
SEQUENCE:328
SUMMARY:: Topological edge spectrum along curved interface
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-11/topological-edge-spectrum
-along-curved-interface
END:VEVENT
BEGIN:VEVENT
UID:7ee2d6ed-52f7-4bec-85fa-8769239cdc0f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231231T074633Z
DESCRIPTION:Speaker: Daniel Berwick Evans\, UIUC\n\nSince the mid 1980s\, t
here have been hints of a deep connection between 2-dimensional field theo
ries and elliptic cohomology. This lead to Stolz and Teichner's conjecture
d geometric model for the universal elliptic cohomology theory of topologi
cal modular forms (TMF) in which cocycles are 2-dimensional supersymmetric
field theories. Basic properties of these field theories lead to expected
integrality and modularity properties\, but the abundant torsion in TMF h
as always been mysterious. In this talk\, I will describe deformation inva
riants of 2-dimensional field theories that realize some of the torsion in
TMF.
DTSTART;TZID=America/Los_Angeles:20240111T143000
DTEND;TZID=America/Los_Angeles:20240111T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:329
SUMMARY:: Topology Seminar: Supersymmetric field theories and elliptic coho
mology
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-11/topology-seminar-supersym
metric-field-theories-and-elliptic-cohomology
END:VEVENT
BEGIN:VEVENT
UID:11d403fa-0c04-4cd4-9f8d-8c8d4ca70be8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240103T012512Z
DESCRIPTION:Speaker: Jayadev Athreya\n\nStarting with the simple problem of
trying to understand the motion of a particle inside a polygon or polyhed
ron\, we see connections to various areas of mathematics\, including ergod
ic theory and dynamical systems\, the geometry of surfaces and moduli spac
es\, and the study of differentials on Riemann surfaces. Lots of pictures!
DTSTART;TZID=America/Los_Angeles:20240111T163000
DTEND;TZID=America/Los_Angeles:20240111T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:330
SUMMARY:: Billiards in polygons and polyhedra
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-12/billiards-polygons-and-po
lyhedra
END:VEVENT
BEGIN:VEVENT
UID:c66da47d-e3da-4c41-8302-3df1abe64c58
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240109T050137Z
DESCRIPTION:Speaker: Linhang Huang\, University of Washington\n\nThe centra
l limit theorem is used frequently in our daily lives\, but its statement
may still seem surprising. Why can we approximate so many distributions us
ing the bell curve\, even for non-continuous or asymmetric ones like stude
nts' grades?\nIn (mathematical) statistical physics\, we often come across
similar phenomena - when random objects converge\, the limits (which in s
ome sense are universal) observe new patterns or symmetries. This talk wil
l highlight some examples of such phenomena\, along with a brief introduct
ion to the measure-theoretic philosophy of probability and the necessary t
opological infrastructure.\nZoom Link: https://washington.zoom.us/j/928495
68892
DTSTART;TZID=America/Los_Angeles:20240112T143000
DTEND;TZID=America/Los_Angeles:20240112T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:331
SUMMARY:: 1-2-3 Seminar: Statistical physics: what and how to study for ran
dom stuff
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-12/1-2-3-seminar-statistical
-physics-what-and-how-study-random-stuff
END:VEVENT
BEGIN:VEVENT
UID:7cb3c672-8300-4587-9b6c-29b565c6e312
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240103T223104Z
DESCRIPTION:Speaker: Sara Veneziale (Imperial College London)\n\nAbstract:
In this talk\, I will describe recent work in the application of machine l
earning to explore questions in algebraic geometry\, specifically in the c
ontext of the study of Q-Fano varieties. Q-Fano varieties are Fano varieti
es with mild singularities (called terminal singularities) and they are th
e key players in the Minimal Model Program. We ask if machine learning can
determine if a toric Fano variety has terminal singularities\, since ther
e is no global efficient algorithm that does this (except for the weighted
projective spaces case). A simple feedforward neural network is able to d
etect terminal singularities with 95% accuracy for varieties in dimension
eight and Picard rank two. Building this high-accuracy model has two conse
quences. Firstly\, it inspires the formulation of a new global\, combinato
rial criterion to determine if a toric variety of Picard rank two has term
inal singularities. Secondly\, the machine learning model is used directly
to give the first sketch of the landscape of Q-Fano varieties in dimensio
n eight. This is joint work with Tom Coates and Al Kasprzyk.
DTSTART;TZID=America/Los_Angeles:20240116T110000
DTEND;TZID=America/Los_Angeles:20240116T120000
LAST-MODIFIED:20240822T184151Z
SEQUENCE:332
SUMMARY:: Machine learning\, toric Fano varieties\, and terminal singularit
ies
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-16/machine-learning-toric-fa
no-varieties-and-terminal-singularities
END:VEVENT
BEGIN:VEVENT
UID:ce480ff8-b7c1-45a8-9fa4-7dcfa6d81f7e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240103T232619Z
DESCRIPTION:Speaker: Danai Deligeorgaki\, KTH Royal Institute of Technology
\n\nAbstract:\nThe central objects in this talk are the descent polynomial
s of colored permutations on multisets\, referred to as colored multiset E
ulerian polynomials. These polynomials generalize the colored Eulerian pol
ynomials that appear frequently in algebraic combinatorics and are known t
o admit desirable distributional properties\, including real-rootedness\,
log-concavity\, unimodality and the alternatingly increasing property. In
joint work with Liam Solus and Bin Han\, symmetric colored multiset Euleri
an polynomials are identified and used to prove sufficient conditions for
a colored multiset Eulerian polynomial to be interlaced by its own recipro
cal. This property implies that the polynomial obtains all of the aforemen
tioned distributional properties as well as others\, including bi-\$\gamma
\$-positivity. To derive these results\, multivariate generalizations of a
generating function identity due to MacMahon are deduced. We will end wit
h open questions and some connections between colored multiset Eulerian po
lynomials and other families of well-studied polynomials\, including the \
$s\$-Eulerian polynomials.\nNote: This talk begins with a pre-seminar (aim
ed at graduate students) at 3:30–4:00. The main talk starts at 4:10.\nJoin
Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID: 915 473
3 5974
DTSTART;TZID=America/Los_Angeles:20240117T153000
DTEND;TZID=America/Los_Angeles:20240117T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:333
SUMMARY:: Distributional properties of colored multiset Eulerian polynomial
s
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-17/distributional-properties
-colored-multiset-eulerian-polynomials
END:VEVENT
BEGIN:VEVENT
UID:2cd05cd0-433d-4db0-baeb-ef212f1ebce4
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240117T054206Z
DESCRIPTION:Speaker: Emily Casey\, Garrett Mulcahy\, Ignacio Tejeda\, Jacob
Ogden\, Linhang Huang\, Ryan Bushling\, Silvia Ghinassi\n\nGraduate stude
nts and postdocs in analysis will each present a 5 minute lightning talk o
n their research.
DTSTART;TZID=America/Los_Angeles:20240118T123000
DTEND;TZID=America/Los_Angeles:20240118T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:334
SUMMARY:: Lightning Talks in Analysis
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-18/lightning-talks-analysis
END:VEVENT
BEGIN:VEVENT
UID:4d3113b1-0ad9-47f3-94a2-df115ac6e7b0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240103T012755Z
DESCRIPTION:Speaker: Max Lieblich\n\nAround a hundred years ago\, Veblen an
d Young proved what is now known as the Fundamental Theorem of Projective
Geometry. One way to interpret this theorem is as a topological characteri
zation of linear geometry. I will discuss a non-linear generalization of t
his result: a topological characterization of algebraic geometry.
DTSTART;TZID=America/Los_Angeles:20240118T133000
DTEND;TZID=America/Los_Angeles:20240118T143000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:335
SUMMARY:: What is algebraic geometry\, really?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-18/what-algebraic-geometry-r
eally
END:VEVENT
BEGIN:VEVENT
UID:04559a42-6528-4b68-9255-a8add8bd7d5f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240115T221613Z
DESCRIPTION:Speaker: Alexander Wang\, University of Washington\n\nOne of th
e most important aspects of the real numbers is that it is complete: every
Cauchy sequence of real numbers converges to a real number. Now that we h
ave the attention of the analysts\, we can begin an exploration of other w
ays to complete the rational numbers! This leads us to the p-adic numbers\
, a collection of complete fields which are closely related to prime numbe
rs\, and allow us to capture arithmetic information in an algebraic way. W
e'll discuss the structure and properties of the p-adics\, some techniques
to solve problems over these fields\, and how they generalize to a broade
r class of objects known as local fields.\nZoom Link: https://washington.z
oom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240119T143000
DTEND;TZID=America/Los_Angeles:20240119T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:336
SUMMARY:: 1-2-3 Seminar: Primes\, p-adics\, and an exploration of local fie
lds
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-19/1-2-3-seminar-primes-p-ad
ics-and-exploration-local-fields
END:VEVENT
BEGIN:VEVENT
UID:cdaca129-8bac-454b-9275-9a84c37209fc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240106T232511Z
DESCRIPTION:Speaker: Yang Zhang (UW)\n\nMicrolocal analysis provides a fram
ework to study distributions (generalized functions) and operators from a
phase space point of view. It is rooted in Fourier analysis and further de
veloped by functional analysis and symplectic geometry. A fundamental conc
ept in this field\, singularities\, refer to points in phase space where a
distribution is not smooth.\nIn this talk\, we will discuss the study of
several inverse problems using microlocal analysis\, especially from the p
erspective of singularities. The first inverse problem is to reconstruct a
density function of an object from its integral transform over cone surfa
ces\, which arises in Compton camera imaging. Using microlocal analysis\,
we describe which features (singularities) of the object can be reconstruc
ted in a stable way from local data measurements. Next\, we will talk abou
t inverse problems of recovering parameters in partial differential equati
ons from boundary measurements\, especially addressing nonlinear wave equa
tions in ultrasound imaging with damping effects. We will explain how the
analysis of new singularities\, produced by the nonlinear interactions of
waves\, enables the determination of these parameters. In particular\, we
will address the challenges in inverse boundary value problems and the tec
hniques to handle them.
DTSTART;TZID=America/Los_Angeles:20240119T213000
DTEND;TZID=America/Los_Angeles:20240119T223000
LAST-MODIFIED:20240118T225715Z
LOCATION:PDL C-401
SEQUENCE:337
SUMMARY:: Microlocal methods in inverse problems arising in medical imaging
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-20/microlocal-methods-invers
e-problems-arising-medical-imaging
END:VEVENT
BEGIN:VEVENT
UID:3b001ef3-6082-463f-aaf2-80541fe49510
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240117T202944Z
DESCRIPTION:Speaker: Jayadev Athreya\n\nWe describe how certain properties
of the extrema of the digits of Luroth expansions lead to a probabilistic
proof of a limiting relation involving the Riemann zeta function and the B
ernoulli triangles. We also discuss trimmed sums of Luroth digits. Our goa
l is to show how direct computations in this case lead to explicit formula
s and some interesting discussions of special functions. This is joint wor
k with the late K.B. Athreya.
DTSTART;TZID=America/Los_Angeles:20240122T143000
DTEND;TZID=America/Los_Angeles:20240122T152000
LAST-MODIFIED:20240117T210104Z
LOCATION:MEB 102
SEQUENCE:338
SUMMARY:: Extreme of Luroth Digits and a Zeta Function Limit Relation
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-22/extreme-luroth-digits-and
-zeta-function-limit-relation
END:VEVENT
BEGIN:VEVENT
UID:87df0b10-e76d-4ba9-9f78-49bd98b8da82
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231227T181609Z
DESCRIPTION:Speaker: Asimina Hamakiotes\, University of Connecticut\n\nLet
$K$ be an imaginary quadratic field\, and let $\mathcal{O}_{K\,f}$ be an o
rder in $K$ of conductor $f \geq 1$. Let $E$ be an elliptic curve with com
plex multiplication by $\mathcal{O}_{K\,f}$\, such that $E$ is defined by
a model over $\mathbb{Q}(j_{K\,f})$\, where $j_{K\,f} = j(E)$. Let $N \geq
2$ be an integer. In this talk\, we will see when $\mathbb{Q}(j_{K\,f}\,E
[N])$ is an abelian extension of $\mathbb{Q}(j_{K\,f})$. Further\, when th
e extension $\mathbb{Q}(j_{K\,f}\,E[N])/\mathbb{Q}(j_{K\,f})$ is not abeli
an\, we will discuss what the possible maximal abelian subextensions are.
DTSTART;TZID=America/Los_Angeles:20240123T110000
DTEND;TZID=America/Los_Angeles:20240123T115000
LAST-MODIFIED:20231227T181609Z
LOCATION:C-401
SEQUENCE:339
SUMMARY:: Elliptic curves with complex multiplication and abelian division
fields
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-23/elliptic-curves-complex-m
ultiplication-and-abelian-division-fields
END:VEVENT
BEGIN:VEVENT
UID:9c00caaa-ed9f-4e0c-afbd-c4f6cc08ea29
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240118T160756Z
DESCRIPTION:Speaker: Iacopo Brivio (CMSA at Harvard)\n\n\nTitle pre-talk: S
ome tools for positive characteristic fibrations\n\nAbstract pre-talk: we
first review the canonical bundle formula in characteristic zero and formu
late an analogous result for F-split Calabi-Yau fibration. In the second p
art we'll recall the basics of foliation theory in positive characteristic
and explain how they can be used to study 'wild' fibrations.\n\nTitle: An
ti Iitaka conjecture in positive characteristic\n\nAbstract: Given a fibra
tion of complex projective manifolds f:X---> Y with general fiber F\, a fa
mous conjecture due to Iitaka predicts the inequality \kappa(K_X)\geq \kap
pa(K_Y) +\kappa(K_F). If one assumes that the stable base locus of -K_X is
vertical then a theorem of Chang establishes the inequality \kappa(-K_X)\
leq \kappa(-K_Y) +\kappa(-K_F). Both Iitaka’s conjecture and Chang’s theor
em are known to fail over fields of characteristic p>0. In this talk I am
going to discuss a generalization of Chang’s result to fibrations in posit
ive characteristic satisfying certain tameness conditions. This is based o
n a joint project with Marta Benozzo and Chi-Kang Chang.
DTSTART;TZID=America/Los_Angeles:20240123T134500
LAST-MODIFIED:20240118T160756Z
LOCATION:PDL C-38
SEQUENCE:340
SUMMARY:: Anti Iitaka conjecture in positive characteristic
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-23/anti-iitaka-conjecture-po
sitive-characteristic
END:VEVENT
BEGIN:VEVENT
UID:ec2f4068-c558-4722-9691-ccbc8b953c38
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240116T221806Z
DESCRIPTION:Speaker: Arun Kannan\, Massachusetts Institute of Technology\n
\nAbstract:\nIn 1959\, Farahat and Higman showed a remarkable property abo
ut the symmetric group: the structure constants for the center of the grou
p algebra \(S_n\) depend polynomially on \(n\) and that there exists an in
finite-dimensional algebra\, which we call the Farahat-Higman algebra\, th
at sits over these centers. Moreover\, these admit mutually compatible fil
trations such that the structure constants of the associated graded rings
do not depend on \(n\) at all.\nIn 2003\, Ivanov and Kerov came up with a
new and elegant way to derive the results of Farahat and Higman. In this t
alk we review all of these results and then show how we can take an approa
ch similar to that of Ivanov and Kerov to prove statements analogous to th
ose above but for the classical linear groups over finite fields\, like \(
GL_n(F_q)\). Time permitting we will also discuss some connections to a no
tion called a symmetric tensor category\, which can be thought of as a gen
eralization of a representation category of a group.\nBased on joint work
(https://arxiv.org/pdf/2112.01467.pdf) with Christopher Ryba.\nNote: This
talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00.
The main talk starts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.
us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240124T153000
DTEND;TZID=America/Los_Angeles:20240124T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:341
SUMMARY:: Farahat-Higman Algebras for Classical Linear Groups
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-24/farahat-higman-algebras-c
lassical-linear-groups
END:VEVENT
BEGIN:VEVENT
UID:d60a62f7-2c29-45fe-829f-3994fcbca196
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231224T235449Z
DESCRIPTION:Speaker: Davide Parise (UCSD)\n\nIn the late 70s\, the work of
Modica\, Mortola\, De Giorgi\, and many others established deep connection
s between the Allen-Cahn equation\, a semi-linear elliptic equation arisin
g in the van der Waals-Cahn-Hilliard theory of phase transitions\, and min
imal hypersurfaces\, i.e. critical points of the area functional. Based on
these ideas\, in recent years\, the combined work of Guaraco\, Hutchinson
\, Tonegawa\, and Wickramasekera established the existence of (optimally r
egular) minimal hypersurfaces in compact manifolds without boundary. In th
is talk we will consider the Allen-Cahn equation on manifolds with boundar
y\, and describe geometric and analytic aspects of the boundary behavior o
f the associated limit interfaces. The end goal of this line of investigat
ion is the construction of free boundary minimal hypersurfaces in manifold
s with boundary\, i.e. submanifolds with vanishing mean curvature and meet
ing the boundary orthogonally. This is based on joint work with Martin Li
and Lorenzo Sarnataro.
DTSTART;TZID=America/Los_Angeles:20240124T160000
DTEND;TZID=America/Los_Angeles:20240124T170000
LAST-MODIFIED:20240119T082818Z
LOCATION:PDL C-38
SEQUENCE:342
SUMMARY:: Boundary behavior of the Allen-Cahn equation and the construction
of free boundary minimal hypersurfaces [joint with Rainwater seminar]
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-25/boundary-behavior-allen-c
ahn-equation-and-construction-free-boundary-minimal
END:VEVENT
BEGIN:VEVENT
UID:fd3d1e66-bbbc-4242-80d3-6d62b21dd8a1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240122T204426Z
DESCRIPTION:Speaker: Linhang Huang\, University of Washington\n\nIn this ta
lk\, I will introduce a Collet-Eckmann type condition for the quadratic la
minations on the unit circle. We will walk through the proof that this con
dition implies that the lamination admits a Hölder continuous conformal we
lding\, which produces the Julia set corresponding to some unicritical pol
ynomial \$z^2+c\$. As a consequence\, we prove that almost all points on t
he unit circle correspond to some quadratic Julia sets that are also Hölde
r trees. The project is advised by Steffen Rohde.
DTSTART;TZID=America/Los_Angeles:20240125T123000
DTEND;TZID=America/Los_Angeles:20240125T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:343
SUMMARY:: Symbolic Dynamics & Quadratic Laminations on the Circle
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-25/symbolic-dynamics-quadrat
ic-laminations-circle
END:VEVENT
BEGIN:VEVENT
UID:e178b90e-0336-4f6a-b55a-4143bcd4ce8c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240112T040942Z
DESCRIPTION:Speaker: Giovanni Inchiostro (UW)\n\nParameter spaces provide a
n important tool to study how certain objects\, say Riemann surfaces\, rel
ate to each other. I will start by discussing a few parameter spaces of co
mpact and open Riemann surfaces\, compare them\, and explain generalizatio
ns to studying arbitrary dimensional spaces.
DTSTART;TZID=America/Los_Angeles:20240125T140000
DTEND;TZID=America/Los_Angeles:20240125T150000
LAST-MODIFIED:20240123T172826Z
LOCATION:PDL C-401
SEQUENCE:344
SUMMARY:: Wall crossings and parameter spaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-25/wall-crossings-and-parame
ter-spaces
END:VEVENT
BEGIN:VEVENT
UID:7b9ca14f-c4ce-4529-8558-65ff57935274
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240112T014757Z
DESCRIPTION:Speaker: Cynthia Vinzant\n\nMany polynomials associated to comb
inatorial objects have special functional properties\, such as real-rooted
ness or log-concavity. These have strong implications for the discrete pro
bability distributions associated to their coefficients. I will survey som
e interesting classes of multivariate real polynomials and their applicati
ons in combinatorics\, probability\, and operator theory.
DTSTART;TZID=America/Los_Angeles:20240125T163000
DTEND;TZID=America/Los_Angeles:20240125T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:345
SUMMARY:: The geometry of polynomials
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-26/geometry-polynomials
END:VEVENT
BEGIN:VEVENT
UID:8d8f7ffc-3b13-41c3-9952-1b58e8ab0e6e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240122T221522Z
DESCRIPTION:Speaker: Andrew Tawfeek\, University of Washington\n\nGiven a t
ropical cycle X\, one can talk about a notion of ''tropical' vector bundle
s on X having tropical fibers. By restricting our attention to bounded rat
ional sections of these bundles\, one can develop a good notion of charact
eristic classes that behave as expected classically. We present further re
sults on these characteristic classes and use these properties to prove a
Porteous' formula for these bundles\, which gives a determinantal expressi
on of the fundamental class of degeneracy loci of a (tropical) bundle morp
hism in terms of their Chern classes. \nZoom Link: https://washington.zoom
.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240126T143000
DTEND;TZID=America/Los_Angeles:20240126T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:346
SUMMARY:: 1-2-3 Seminar: A tropical framework for using Porteous' formula
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-26/1-2-3-seminar-tropical-fr
amework-using-porteous-formula
END:VEVENT
BEGIN:VEVENT
UID:a307ffb2-b655-4cd9-a964-3a1a79dd2a1f
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20231227T195700Z
DESCRIPTION:Speaker: Isabella Novik\, University of Washington\n\nA polytop
e is the convex hull of finitely many points. A polytope is simplicial if
all of its faces are simplices. What partial information about a simplicia
l polytope P is enough to uniquely determine P (up to certain equivalences
)? We will discuss two versions of this question and report on recent prog
ress on two conjectures of Gil Kalai. Our answers involve a mixture of too
ls from combinatorics\, discrete geometry\, and commutative algebra. No pr
ior knowledge on polytopes will be assumed.
DTSTART;TZID=America/Los_Angeles:20240126T153000
DTEND;TZID=America/Los_Angeles:20240126T163000
LAST-MODIFIED:20240119T172310Z
LOCATION:ECE 125
SEQUENCE:347
SUMMARY:: Reconstructing simplicial polytopes from partial information
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-26/reconstructing-simplicial
-polytopes-partial-information
END:VEVENT
BEGIN:VEVENT
UID:6b268e2d-76df-4b9d-af1c-aa5b39ab4285
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T184050Z
DESCRIPTION:Speaker: Christopher Hoffman\n\nStable matchings are a way to p
air different groups in an (arguably) fair manner. Common examples of stab
le matchings come from pairing men and women into couples and pairing medi
cal residents with their first job. The mathematical study of stable match
ings began over 60 years ago with the beautiful work of Gale and Shapley.
Since then many statistics of stable matchings have been extensively studi
ed in the case that the preferences of the different groups are independen
t and all preferences are equally likely. Pitel proved that the number of
stable matchings of n men and n women is of order n log(n). In this talk w
e consider a distribution on preferences that are highly correlated. We sh
ow that with these preferences there are exponentially many stable matches
.\nThis is joint work with Avi Levy and Elchanan Mossel.
DTSTART;TZID=America/Los_Angeles:20240129T144000
DTEND;TZID=America/Los_Angeles:20240129T153000
LAST-MODIFIED:20240125T184050Z
LOCATION:MEB 102
SEQUENCE:348
SUMMARY:: Stable matchings with correlated preferences
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-29/stable-matchings-correlat
ed-preferences
END:VEVENT
BEGIN:VEVENT
UID:e0f45150-10b4-44a6-bdaa-69a9826e38a2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240118T180718Z
DESCRIPTION:Speaker: Florentin Guth (NYU)\n\nThe generalization performance
of deep learning is impressive. In unsupervised learning\, recent generat
ive models such as diffusion models are able to generate very high-quality
images. In supervised learning\, deep networks trained to classify images
learn features that transfer to a wide variety of tasks. This raises the
question: to what extent is what is learned independent on the training sa
mples and even the training data distribution? I will show that diffusion
models transition from memorization to generalization as the number of tra
ining samples increases\, and that networks trained on different image cla
ssification datasets learn common features even at deep layers. These resu
lts imply that a large part of what deep learning extracts from an image d
ataset is universal.
DTSTART;TZID=America/Los_Angeles:20240130T110000
DTEND;TZID=America/Los_Angeles:20240130T120000
LAST-MODIFIED:20240118T180718Z
LOCATION:Zoom: https://washington.zoom.us/j/98292982594
SEQUENCE:349
SUMMARY:: Generalization and universality in deep learning
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-30/generalization-and-univer
sality-deep-learning
END:VEVENT
BEGIN:VEVENT
UID:e16899ca-1292-405c-94be-f66bff99fb0e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240122T212757Z
DESCRIPTION:Speaker: Jayadev Athreya (UW Seattle)\n\nWe show how classical
results of Furstenberg combined with more recent ideas from renormalizatio
n dynamics give interesting ergodic results for billiard flows in certain
right-angled prisms. This is joint work with Nicolas Bedaride\, Pat Hooper
\, and Pascal Hubert.
DTSTART;TZID=America/Los_Angeles:20240130T133000
DTEND;TZID=America/Los_Angeles:20240130T153000
LAST-MODIFIED:20240122T212757Z
LOCATION:PDL C-401
SEQUENCE:350
SUMMARY:: Billiards in Polyhedra
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-30/billiards-polyhedra
END:VEVENT
BEGIN:VEVENT
UID:33d3c46a-109a-4112-b810-4bdef226e1a5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240103T232657Z
DESCRIPTION:Speaker: Cynthia Vinzant\, University of Washington\n\nAbstract
:\nTropicalization is a way to understand the asymptotic behavior of algeb
raic (or semi-algebraic) sets through polyhedral geometry. In this talk\,
I will talk about the tropicalization of the principal minors of positive
semidefinite matrices. This gives a combinatorial way of understanding the
ir asymptotic behavior and discovering new inequalities on these minors. T
he resulting tropicalization will be a subset of M-concave functions on th
e discrete hypercube closely related to the tropical Grassmannian and trop
ical flag variety. I will not assume any familiarity with tropical geometr
y or the positive semidefinite cone. This is based on joint work with Abee
r Al Ahmadieh\, Felipe Rincón\, and Josephine Yu.\nNote: This talk begins
with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main tal
k starts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/9154733
5974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240131T153000
DTEND;TZID=America/Los_Angeles:20240131T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:351
SUMMARY:: Tropicalization of the principal minors of positive semidefinite
matrices
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-01-31/tropicalization-principal
-minors-positive-semidefinite-matrices
END:VEVENT
BEGIN:VEVENT
UID:dd0fba84-c24e-43fa-98fc-b985e67754a8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240130T213101Z
DESCRIPTION:Speaker: Kuan-Ting Yeh\, University of Washington \n\nThe Gauss
ian isoperimetric problem holds significant relevance across various field
s\, with Ehrhard symmetrization serving as a crucial tool in its examinati
on. One natural question to ask is if we can extend those concepts to anis
otropic Gaussian measures. In this talk\, we uncover an example highlighti
ng a scenario where Ehrhard symmetrization fails to decrease the anisotrop
ic Gaussian perimeter\, thereby introducing a novel inequality that incorp
orates an error term. Finally\, we present that within specific classes\,
only the isotropic Gaussian measure satisfies the perimeter-decreasing pro
perty under symmetrization.
DTSTART;TZID=America/Los_Angeles:20240201T123000
DTEND;TZID=America/Los_Angeles:20240201T132000
LAST-MODIFIED:20240130T213101Z
LOCATION:PDL C-401
SEQUENCE:352
SUMMARY:: Anisotropic Gaussian Measures and Ehrhard Symmetrization
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-01/anisotropic-gaussian-meas
ures-and-ehrhard-symmetrization
END:VEVENT
BEGIN:VEVENT
UID:24ad5436-153f-4916-a862-1bedafc43956
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240116T200633Z
DESCRIPTION:Speaker: Be'eri Greenfeld (UW)\n\nThe growth of an infinite-dim
ensional algebra is a fundamental tool to measure its 'size.' The growth o
f noncommutative algebras plays an important role in noncommutative geomet
ry\, representation theory\, differential algebraic geometry\, symbolic dy
namics\, homological stability results\, and more. \nWe analyze the space
of growth functions of algebras\, answering a question of Zelmanov on the
existence of certain 'holes' in this space\, and provide evidence for the
ampleness of the possible growth rates of algebras with prescribed propert
ies\; we conclude a strong quantitative solution of the Kurosh Problem on
algebraic algebras.\nFinally\, the largest objects (groups\, algebras\, Li
e algebras) are\, in many contexts\, those containing free substructures.
We discuss the coexistence of this phenomenon with finiteness properties -
- in particular\, 'almost algebraicity' of algebras and 'almost periodicit
y' of groups -- from algebraic\, geometric\, and probabilistic perspective
s.
DTSTART;TZID=America/Los_Angeles:20240201T140000
DTEND;TZID=America/Los_Angeles:20240201T150000
LAST-MODIFIED:20240130T020345Z
LOCATION:PDL C-401
SEQUENCE:353
SUMMARY:: Quantifying Infinitude in Algebraic Structures: Growth\, Local Sm
allness\, and Global Largeness
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-01/quantifying-infinitude-al
gebraic-structures-growth-local-smallness-and-global
END:VEVENT
BEGIN:VEVENT
UID:13d3de9c-76aa-4d70-8adb-448306a8ba6e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T050335Z
DESCRIPTION:Speaker: Rekha Thomas\n\nI will discuss some problems on graphs
that I have worked on recently. They involve a mix of combinatorics\, con
vex geometry and optimization.
DTSTART;TZID=America/Los_Angeles:20240201T163000
DTEND;TZID=America/Los_Angeles:20240201T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:354
SUMMARY:: Problems on Graphs though Optimization and Geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-02/problems-graphs-though-op
timization-and-geometry
END:VEVENT
BEGIN:VEVENT
UID:6a7f1d88-9c01-4de1-84a3-f0cf76ddb262
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240127T205650Z
DESCRIPTION:Speaker: Arkamouli Debnath\, University of Washington\n\nOne us
ually encounters moduli spaces in Algebraic or Complex Geometry\, but the
concept itself is categorical and can hence be used in almost every branch
of mathematics. We will first introduce the idea of a 'family' which vagu
ely speaking is a map from X ---> Y such that each fibre has some special
property P. It turns out that we would like to have 'families' of various
objects of interest\, because instead of studying each of them individuall
y\, studying them collectively is more systematic and gives stronger under
standing. A moduli space\, will then be defined as a very special 'family'
such that each point on it parameterizes a certain object of interest. In
fact one is usually introduced to the projective space as something that
parameterizes lines in the plane passing through the origin. \nNo backgrou
nd knowledge in any of the above will be required to understand examples 1
and 2 of my talk. Example 3\, time permitting\, will be related to comple
x geometry\, with very little background assumed.\nZoom Link: https://wash
ington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240202T143000
DTEND;TZID=America/Los_Angeles:20240202T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:355
SUMMARY:: 1-2-3 Seminar: What is a moduli space?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-02/1-2-3-seminar-what-moduli
-space
END:VEVENT
BEGIN:VEVENT
UID:4cd615fb-11c5-4be4-9e05-28132aa76214
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T185522Z
DESCRIPTION:Speaker: Shayan Oveis Gharan\n\nI will give a survey on recent
connections developed between the rapidly growing area of high dimensional
expanders and analysis of mixing time of Markov chains. We will then see
application to several classical counting and sampling problems such as sa
mpling spanning trees\, independent sets\, and proper edge coloring of gra
phs. I will conclude the talk by explaining several avenues of future rese
arch.
DTSTART;TZID=America/Los_Angeles:20240205T143000
DTEND;TZID=America/Los_Angeles:20240205T152000
LAST-MODIFIED:20240202T202335Z
LOCATION:THO 119
SEQUENCE:356
SUMMARY:: The MCMC method and High Dimensional Expanders
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-05/mcmc-method-and-high-dime
nsional-expanders
END:VEVENT
BEGIN:VEVENT
UID:da38b3f0-2f30-4b11-b385-36f84f1f837d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240124T190708Z
DESCRIPTION:Speaker: Jerson Caro\, Boston University\n\nA celebrated result
of Coleman gives a completely explicit version of Chabauty's finiteness t
heorem for rational points in curves over a number field\, by a study of z
eros of p-adic analytic functions. After several developments around this
result\, the problem of proving an analogous explicit bound for higher dim
ensional subvarieties of abelian varieties remains elusive. \nIn this talk
\, I'll sketch the proof of such a bound for surfaces contained in abelian
varieties. This is joint work with Hector Pasten.\nAdditionally\, I'll pr
esent an application of this method to give an upper bound for the number
of unexpected quadratic points of hyperelliptic curves of genus 3 defined
over Q. This is joint work in progress with Jennifer Balakrishnan.
DTSTART;TZID=America/Los_Angeles:20240206T110000
DTEND;TZID=America/Los_Angeles:20240206T235000
LAST-MODIFIED:20240124T190708Z
LOCATION:PDL C-401
SEQUENCE:357
SUMMARY:: Unexpected quadratic points of hyperelliptic curves via Chabauty-
Coleman bound for surfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-06/unexpected-quadratic-poin
ts-hyperelliptic-curves-chabauty-coleman-bound-surfaces
END:VEVENT
BEGIN:VEVENT
UID:017d82e9-db8e-4c83-bbb9-1b04ead22e28
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T191454Z
DESCRIPTION:Speaker: Derek Lim (MIT)\n\nNeural networks efficiently encode
learned information within their parameters. Consequently\, many tasks can
be unified by treating neural networks themselves as input data. In this
talk\, we discuss new metanetworks - neural networks that take weights fro
m other neural networks as input. Put simply\, we carefully build graphs r
epresenting the input neural networks and process the graphs using graph n
eural networks. Our approach\, Graph Metanetworks (GMNs)\, generalizes to
input neural architectures where competing methods struggle\, such as mult
i-head attention layers\, normalization layers\, convolutional layers\, Re
sNet blocks\, and group-equivariant linear layers. We prove that GMNs are
expressive and equivariant to parameter permutation symmetries that leave
the input neural network functions unchanged. We validate the effectivenes
s of our method on several metanetwork tasks over diverse neural network a
rchitectures.
DTSTART;TZID=America/Los_Angeles:20240206T110000
DTEND;TZID=America/Los_Angeles:20240206T120000
LAST-MODIFIED:20240125T191537Z
LOCATION:Zoom: https://washington.zoom.us/j/98292982594
SEQUENCE:358
SUMMARY:: Graph Metanetworks for Processing Diverse Neural Architectures
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-06/graph-metanetworks-proces
sing-diverse-neural-architectures
END:VEVENT
BEGIN:VEVENT
UID:b4610e8a-7605-4874-bacc-ba7b41f7cedc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240122T192356Z
DESCRIPTION:Speaker: Albert Artiles (UW Seattle)\n\nThe minimal denominator
function (MDF) quantifies how hard it is to approximate a real number x t
o a prescribed level of precision through rational numbers. We will explor
e some quantitative results about the statistics of this function through
the lens of homogeneous dynamics.\nThe first part of the talk will be used
to define measure preserving systems\, with an emphasis on Lie groups\, a
nd translation surfaces.\nThe second part of the talk will use the setup f
rom the first part to provide quantitative results about the distribution
of the MDF. We will prove the existence of a limiting distribution as one
of its parameters tends to zero\, and generalize it to higher dimensions a
nd statistics of holonomy vectors of translation surfaces. If time allows\
, we will describe the density function associated to the distribution of
the MDF and statistics of saddle connections of translation surface.
DTSTART;TZID=America/Los_Angeles:20240206T133000
DTEND;TZID=America/Los_Angeles:20240206T153000
LAST-MODIFIED:20240131T184805Z
LOCATION:PDL C-401
SEQUENCE:359
SUMMARY:: Diophantine approximation\, statistics on translation surfaces\,
and equivariant processes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-06/diophantine-approximation
-statistics-translation-surfaces-and-equivariant
END:VEVENT
BEGIN:VEVENT
UID:fb3c3fd3-5c6d-4717-956f-ba719f59e158
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20231127T231705Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
Advancement - Reem Sabha\nGraduate Program - Novik\n\n\nCommittee Reports
\nNew Business\nExecutive Session\nAdjournment\n\n\n\nMINUTES\nThe regular
meeting of the faculty of the Department of Mathematics was held virtuall
y via Zoom at 3:30pm PST\, February 6\, 2024. Max Lieblich\, Chair\, presi
ded over the meeting. Rose Choi was the recording secretary.\nChair's Rema
rks\nThe chair announced that Giovanni Inchiostro will be joining the depa
rtment next year as an Assistant Professor. Additional hire updates are to
follow.\nAnnouncements\nReem Sabha\, the Assistant Director of Developmen
t for Natural Sciences\, shared information on how their office can assist
the department with fundraising efforts.\nThe Graduate Program committee
proposed creating MATH 601 (Internship) to replace MATH 600B. A vote was h
eld\, passed\, and approved.\nNew Business\nThe chair thanked the voting m
embers for ranking the postdoc candidates and announced that offers will b
e going out shortly.\nADJOURNMENT\nThere being no executive session\, the
meeting adjourned at 4:13pm.
DTSTART;TZID=America/Los_Angeles:20240206T153000
DTEND;TZID=America/Los_Angeles:20240206T163000
LAST-MODIFIED:20240301T001929Z
LOCATION:via Zoom
SEQUENCE:360
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-06/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:1c7242fc-5385-4d00-aa8c-efa0cce82a0f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240116T222821Z
DESCRIPTION:Speaker: Galen Dorpalen-Barry\, University of Oregon\n\nAbstrac
t:\nMotivated by a conjecture of Maglione–Voll from group theory\, we intr
oduce and study the Poincaré-extended ab-index. This polynomial generalize
s both the ab-index and the Poincaré polynomial. For posets admitting R-la
belings (a relaxation of EL-labelings)\, we prove that the coefficients ar
e nonnegative and give a combinatorial description of the coefficients. Th
is proves Maglione–Voll’s conjecture as well as a conjecture of the Kühne–
Maglione. We also define the pullback ab-index generalizing the cd-index o
f face posets for oriented matroids. Our results recover\, generalize and
unify results from Billera–Ehrenborg–Readdy\, Bergeron–Mykytiuk–Sottile–va
n Willigenburg\, Saliola–Thomas\, and Ehrenborg. This is joint work with J
oshua Maglione and Christian Stump.\nNote: This talk begins with a pre-sem
inar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:
10.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID
: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240207T153000
DTEND;TZID=America/Los_Angeles:20240207T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:361
SUMMARY:: CANCELED: The Poincare-Extended ab-Index
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-07/poincare-extended-ab-inde
x
END:VEVENT
BEGIN:VEVENT
UID:e076a869-da87-4496-888f-02d8b19b55f7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240206T155033Z
DESCRIPTION:Speaker: Jacob Ogden\, University of Washington\n\nOne of the m
ost important and useful features of linear elliptic equations is the maxi
mum principle which asserts that solutions attain their maximum values on
the boundary of the domain. Solutions of fully nonlinear equations enjoy a
similar feature for their Hessians provided the equation satisfies a conv
exity condition. Results of this type are known as constant rank theorems.
In this talk we will introduce the constant rank theorem of Caffarelli-Gu
an-Ma\, discuss a new approach to proving this result\, and mention its ap
plication to the special Lagrangian equation.
DTSTART;TZID=America/Los_Angeles:20240208T123000
DTEND;TZID=America/Los_Angeles:20240208T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:362
SUMMARY:: Constant rank theorems for elliptic PDEs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-08/constant-rank-theorems-el
liptic-pdes
END:VEVENT
BEGIN:VEVENT
UID:a28a7238-21b1-4821-951d-0c52b6347086
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240116T214729Z
DESCRIPTION:Speaker: Andrea Ottolini (UW)\n\n\n\n\n\n\nThis talk is really
three talks. In the first part\, our main focus is an algorithm used to ap
proximately solve an optimal transport problem that often arises in econom
ic applications: how do we minimise the cost of matching producers with co
nsumers\, when the cost of a matching is a concave function of the distanc
e? In the second part\, we analyze how feedback can be used to improve the
performance of certain card guessing games\, closely related to well-know
n statistical problems such as bias-detection in clinical trials and hypot
hesis testing. In the third part\, motivated by a novel notion of curvatur
e on graphs\, we provide some close-to-exact formula for the hitting times
in Erdös-Rényi random graphs. These stories are held together by a common
theme: sometimes\, greediness and dependencies are not that harmful. This
is based on joint works with J. He\, S. Steinerberger and R. Tripathi.
DTSTART;TZID=America/Los_Angeles:20240208T140000
DTEND;TZID=America/Los_Angeles:20240208T150000
LAST-MODIFIED:20240207T045433Z
LOCATION:PDL C-401
SEQUENCE:363
SUMMARY:: A journey through greediness and dependences
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-08/journey-through-greedines
s-and-dependences
END:VEVENT
BEGIN:VEVENT
UID:ff51616e-8a7c-4762-abc1-528d1769e4c2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T050607Z
DESCRIPTION:Speaker: Gabriel Paternain\n\nI will discuss an interesting cla
ss of Riemannian metrics on the unit disc in the plane and on the 2-sphere
together with some remarkable rigidity results connected with them.\n\n\n
No background on manifolds or geometry is needed\, you just need to know a
bout cylindrical coordinates on the 2-sphere (and polar coordinates on the
disc). Riemannian metrics and geodesics (on open sets in the plane) will
be briefly introduced at the beginning of the lecture.
DTSTART;TZID=America/Los_Angeles:20240208T163000
DTEND;TZID=America/Los_Angeles:20240208T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:364
SUMMARY:: Zoll surfaces\, invisible lenses and rigidity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-09/zoll-surfaces-invisible-l
enses-and-rigidity
END:VEVENT
BEGIN:VEVENT
UID:a23ed367-c213-4298-a6ec-cb1b775654c5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240128T231058Z
DESCRIPTION:Speaker: Justin Bloom\, University of Washington\n\nExploring p
henomena in representation theory including tensor structures and support
varieties. We will make extensive use of the Klein 4 group for explicit co
mputations\, and briefly discuss why this group is so special\nZoom Link:
https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240209T143000
DTEND;TZID=America/Los_Angeles:20240209T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:365
SUMMARY:: 1-2-3 Seminar: Modular Representations or: How I Learned to Stop
Worrying and Love the Klein 4 group
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-09/1-2-3-seminar-modular-rep
resentations-or-how-i-learned-stop-worrying-and-love
END:VEVENT
BEGIN:VEVENT
UID:05c0a284-8253-4d37-abee-71e192044831
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20231227T200025Z
DESCRIPTION:Speaker: Mario Bonk\, University of California\, Los Angeles\n
\nA standard topic in a somewhat more advanced graduate course in complex
analysis are elliptic functions. These are doubly-periodic meromorphic fun
ctions in the complex plane. According to Liouville's basic theorems\, eac
h elliptic function has to have poles and if there are only poles at the p
oints of the period lattice\, then they cannot be of first order. Now in h
is systematic theory of elliptic functions\, Weierstrass introduced his ze
ta function as a meromorphic function with only first order poles at the p
oints of a given rank-2 lattice. So this zeta function cannot be doubly-pe
riodic according to Liouville. But can it be periodic? I will answer this
question and show how this relates to many classical themes such as ellipt
ic integrals\, the hypergeometric ODE\, Schwarz triangle functions\, modul
ar forms\, etc. The talk will provide entertainment for a broad mathematic
al audience.
DTSTART;TZID=America/Los_Angeles:20240209T153000
DTEND;TZID=America/Los_Angeles:20240209T163000
LAST-MODIFIED:20240125T163904Z
LOCATION:ECE 125
SEQUENCE:366
SUMMARY:: Elliptic integrals\, modular forms\, and the Weierstrass zeta-fun
ction
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-09/elliptic-integrals-modula
r-forms-and-weierstrass-zeta-function
END:VEVENT
BEGIN:VEVENT
UID:37801a5f-2c2e-42ef-8c14-a2be1ebb2fee
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T185804Z
DESCRIPTION:Speaker: Matthew Dickson (UBC)\n\nRandom connection models (RCM
s) form a family of random graph models embedded in R^d. Their vertex set
is distributed as a Poisson point process and edges then form independen
tly with a probability depending on the relative displacement of the two
vertices. Many of these models exhibit a percolation phase transition\, a
nd one may be interested in how properties such as the expected cluster s
ize and the percolation probability behave near the critical point. If on
e were to cheat and assume some independence that does NOT exist\, then s
uch behaviors would be exactly calculable and obey power laws with given
exponents. If the RCMs actually do satisfy these power law behaviors wit
h these exponents\, they are said to have mean-field critical exponents.
We will give conditions (including a version of the triangle condition) t
hat show that some RCMs have mean-field critical exponents. We will also
consider RCMs in which the vertices are randomly assigned marks that affe
ct the probability of edges forming. This is based on joint work with Ale
jandro Caicedo and Markus Heydenreich.
DTSTART;TZID=America/Los_Angeles:20240212T143000
DTEND;TZID=America/Los_Angeles:20240212T152000
LAST-MODIFIED:20240202T202450Z
LOCATION:THO 119
SEQUENCE:367
SUMMARY:: Random Connection Models and Mean-Field Critical Exponents
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-12/random-connection-models-
and-mean-field-critical-exponents
END:VEVENT
BEGIN:VEVENT
UID:e0a6b1fc-178a-4623-951d-c7ba5dc2115d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240209T210215Z
DESCRIPTION:Speaker: Giovanni Inchiostro (UW)\n\n\n\nTitle pre-talk: review
of Castelnuovo’s theorem and blow-ups\nAbstract pre-talk: I will recall t
he main ideas of the proof of Castelnuovo’s theorem\, and how one can use
blow-ups to resolve the indeterminacy locus of a rational map of surfaces.
\n \nTitle: Smooth weighted blowdowns\nAbstract: An analogue of blow-ups a
re weighted blow-ups. Those are transformations\, in nature similar to a b
low-up\, but which are a bit more flexible. For example\, weighted blow-up
s give better algorithms for resolving singularities of algebraic varietie
s\, and often appear in moduli spaces of interest. The price that one has
to pay for the extra flexibility is that the result of a weighted blow-up
might no longer be a variety\, but rather an algebraic stack. Therefore on
e natural question is: when is an algebraic stack a weighted blow-up of a
simpler space? My coauthors and I give some criteria for when this questio
n has a positive answer. This is a joint work with Arena\, Di Lorenzo\, Ma
thur\, Obinna and Pernice.
DTSTART;TZID=America/Los_Angeles:20240213T134500
LAST-MODIFIED:20240209T210215Z
LOCATION:PDL C-38
SEQUENCE:368
SUMMARY:: Smooth weighted blowdowns
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-13/smooth-weighted-blowdowns
END:VEVENT
BEGIN:VEVENT
UID:ff6551e8-c10f-4a25-b868-ac5502d767da
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240206T181658Z
DESCRIPTION:Speaker: Moshe Rosenfeld\, University of Washington\, Tacoma\n
\nAbstract:\nMoshe’s Insanity is a fascinating puzzle based on the game In
stant Insanity. It was created for the ACM ICPC competition in 1994. The p
remise of the puzzle is relatively straightforward: you are given eight cu
bes\, and your task is to arrange these cubes in a 2x2x2 arrangement so th
at each side of the finished puzzle displays solid colors. Here are the ke
y constraints for Moshe’s Insanity:1. Each of the eight cubes has six side
s\, each colored with an individual color.2. No duplicate colorings are al
lowed on a single cube.3. The eight cubes can include duplicates.The main
goal of the project related to Moshe’s Insanity is to allow users to inter
act with the puzzle and determine if their set of cubes can produce a vali
d solution. Specifically\, this means:1. Allowing users to input their own
cubes or use a set of randomly generated ones.2. Enabling users to place
their cubes into specific positions within the puzzle.3. Allowing users to
rotate cubes within the puzzle.4. Providing a way for users to check if t
heir set of cubes is solvable.If you’re interested in exploring the source
code and materials related to Moshe’s Insanity\, you can find them on the
GitHub repository. Happy puzzling!\nNote: This talk begins with a pre-sem
inar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:
10.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID
: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240214T153000
DTEND;TZID=America/Los_Angeles:20240214T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:369
SUMMARY:: Moshe's Insanity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-14/moshes-insanity
END:VEVENT
BEGIN:VEVENT
UID:36b27bcd-667f-477b-bcbe-dfae3cdf993a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240213T225455Z
DESCRIPTION:Speaker: Kevin Tully\, University of Washington\n\nThe fraction
al anisotropic Calderón problem asks if we can determine a compact connect
ed Riemannian manifold simply from knowing the metric and the local source
-to-solution map for the fractional Laplacian on a given open set. This is
a nonlocal analogue of the anisotropic Calderón problem\, which has been
solved in two dimensions but remains wide open in higher dimensions. In th
is talk\, we will compare these two problems and present a result of Feizm
ohammadi\, Ghosh\, Krupchyk\, and Uhlmann that solves the fractional probl
em in dimensions two and higher.
DTSTART;TZID=America/Los_Angeles:20240215T123000
DTEND;TZID=America/Los_Angeles:20240215T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:370
SUMMARY:: The Fractional Anisotropic Calderón Problem
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-15/fractional-anisotropic-ca
lderon-problem
END:VEVENT
BEGIN:VEVENT
UID:baf9151b-5999-48e2-b078-b518c246df64
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240206T020000Z
DESCRIPTION:Speaker: Julia Pevtsova\n\nClassically\, representation theory
studies symmetries encoded as actions of group-like objects on vector spac
es. A celebrated theorem of Deligne from 2002 explained that abstract cate
gorical symmetries in characteristic zero are still governed by classical
``supersymmetries” and have super vector spaces lurking in the background.
In positive characteristic the situation is much wilder: we don’t yet hav
e a good understanding of what it is that is lurking. It is definite\, tho
ugh\, that there is a lot there beyond vector and super vector spaces. I w
ill try to describe where the new theory meets the old and what we do (not
much) and don’t (a lot) know.
DTSTART;TZID=America/Los_Angeles:20240215T163000
DTEND;TZID=America/Los_Angeles:20240215T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:371
SUMMARY:: Representation theory without vector spaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-16/representation-theory-wit
hout-vector-spaces
END:VEVENT
BEGIN:VEVENT
UID:dc8a7bfb-8851-4e1c-b1c7-b67a087c61c8
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events
CLASS:PUBLIC
CREATED:20240209T230333Z
DESCRIPTION:The Simons Laufer Mathematical Sciences Institute (SLMath) in p
artnership with the National Association of Mathematicians (NAM) and Zala
Films presents Journeys of Black Mathematicians: Forging Resilience (2024\
, 58 min)\, by director George Csicsery. Forging Resilience is the first o
f two documentary films produced by Zala Films as part of the Journeys of
Black Mathematicians project started in collaboration with SLMath (formerl
y MSRI) in 2020. The second film in this series is anticipated for 2025 re
lease.\nPlease join us for a free public screening of the film courtesy of
SLMath and UW's Departments of Mathematics\, Applied Mathematics\, and St
atistics. The director will be in attendance with a Q&A and reception to f
ollow.\nDate: Thursday\, February 15\, 2024\nTime: 6:00 PM\nLocation: Kane
Hall 110\nRSVP
DTSTART;TZID=America/Los_Angeles:20240215T180000
DTEND;TZID=America/Los_Angeles:20240215T200000
LAST-MODIFIED:20240209T231126Z
LOCATION:KNE 110
SEQUENCE:372
SUMMARY:: Journeys of Black Mathematicians: Forging Resilience
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-16/journeys-black-mathematic
ians-forging-resilience
END:VEVENT
BEGIN:VEVENT
UID:7477c176-1883-4b29-965a-3421f1752123
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240211T101520Z
DESCRIPTION:Speaker: Michael Zeng\, University of Washington\n\nA famous re
sult in classical enumerative geometry says that there are exactly 27 line
s on a cubic surface. Meanwhile\, a classifying space classifies principal
G-bundles. This talk aims to explore a connection between these seemingly
unrelated concepts. We will see how classifying spaces give rise to a the
ory of equivariant integrals\, which in turn provides a novel way of addre
ssing the question: “How many lines are there on a cubic surface?”\nZoom L
ink: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240216T143000
DTEND;TZID=America/Los_Angeles:20240216T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:373
SUMMARY:: 1-2-3 Seminar: 27 Lines on a Cubic Surface —— via Classifying Spa
ces!?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-16/1-2-3-seminar-27-lines-cu
bic-surface-classifying-spaces
END:VEVENT
BEGIN:VEVENT
UID:8097aca7-7e64-4b90-86a1-f8d3d35289fb
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231111T105801Z
DESCRIPTION:Speaker: Thibault Lefeuvre (Université de Paris and Sorbonne U
niversité)\n\nClassifying real polynomial maps between spheres is a chall
enging \nproblem in real algebraic geometry. Remarkably\, this question ha
s found recent applications in two seemingly unrelated fields: - in spectr
al theory\, it allowed to solve Kac's celebrated isospectral problem (Can
one hear the shape of a drum?) for the connection Laplacian. - in dynamica
l systems\, it allowed to prove ergodicity for a certain class of partiall
y hyperbolic flows (extensions of the geodesic flow on negatively-curved m
anifolds). I will explain these problems and how they all connect together
. No prerequisite required -- the talk is intended for a broad audience.
\nJoint work with Mihajlo Cekić.
DTSTART;TZID=America/Los_Angeles:20240221T160000
DTEND;TZID=America/Los_Angeles:20240221T170000
LAST-MODIFIED:20240130T220111Z
LOCATION:PDL C-38
SEQUENCE:374
SUMMARY:: Isospectral connections\, frame flow ergodicity\, and polynomial
maps between spheres
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-22/isospectral-connections-f
rame-flow-ergodicity-and-polynomial-maps-between-spheres
END:VEVENT
BEGIN:VEVENT
UID:b750da5f-1476-494b-a2fa-4b1d081118e0
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240212T201515Z
DESCRIPTION:Speaker: Yirong Yang\n\nAdvisor: Isabella Novik
DTSTART;TZID=America/Los_Angeles:20240221T160000
LAST-MODIFIED:20240212T201515Z
LOCATION:PDL C-401
SEQUENCE:375
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-22/general-exam
END:VEVENT
BEGIN:VEVENT
UID:af4bb0cf-8863-4fd3-a7d0-14298f43ad1c
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam\, Seminars
CLASS:PUBLIC
CREATED:20240104T194959Z
DESCRIPTION:Speaker: Yirong Yang\, University of Washington\n\nAbstract:\nR
econstructing simplicial complexes from partial information has been a pro
blem of interest for decades. A triangulation of a \(d\)-dimensional spher
e is obtained by gluing a collection of \(d\)-dimensional simplices (“high
er dimensional triangles”) along their faces\, such that the resulting sim
plicial complex is homeomorphic to a topological \(d\)-sphere. For such a
triangulation\, if we only know the number of simplices in the triangulati
on and which pairs of simplices are glued along a \((d-1)\)-face\, can we
uniquely recover the entire combinatorial structure of the triangulation?
In this talk\, I will show the answer is yes for shellable spheres\, gener
alizing the result from the 1980s on reconstructing simple polytopes from
their 1-skeleta.\nNote: There will be no pre-seminar this week. The talk w
ill start at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/915473
35974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240221T161000
DTEND;TZID=America/Los_Angeles:20240221T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:376
SUMMARY:: Solving puzzles of shellable simplicial spheres
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-22/solving-puzzles-shellable
-simplicial-spheres
END:VEVENT
BEGIN:VEVENT
UID:cf9f91e8-b67f-4a02-86b2-9e65f46c48d1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240220T175312Z
DESCRIPTION:Speaker: Maddy Brown\, University of Washington\n\nThe Activate
d Random Walk (ARW) is one example of self-organized criticality\, which d
escribes stochastic processes that tend to a critical point without outsid
e influence. One important aspect of the ARW is the existence of a critica
l density\, a parameter that tells us immediately whether the system will
eventually stabilize\, with all particles falling asleep\, or if it will k
eep running forever. This critical density\, however\, has primarily been
studied in the context of all particles starting active. This talk will di
scuss ongoing work to show that an ARW system starting with a supercritica
l density and just one active particle has a probability of stabilizing st
rictly between 0 and 1.
DTSTART;TZID=America/Los_Angeles:20240222T123000
DTEND;TZID=America/Los_Angeles:20240222T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:377
SUMMARY:: Activated Random Walk in a Supercritical Configuration
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-22/activated-random-walk-sup
ercritical-configuration
END:VEVENT
BEGIN:VEVENT
UID:a4bcc87a-3d6f-4bdd-9797-eb571dfe5e3b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240218T214005Z
DESCRIPTION:: The generalized Tate diagram of the equivariant slice filtrat
ion\n\nPDL C-401\nSeminars\nhttps://math.washington.edu/events/2024-02-22/
generalized-tate-diagram-equivariant-slice-filtration
DTSTART;TZID=America/Los_Angeles:20240222T143000
DTEND;TZID=America/Los_Angeles:20240222T163500
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:378
SUMMARY:: The generalized Tate diagram of the equivariant slice filtration
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-22/generalized-tate-diagram-
equivariant-slice-filtration
END:VEVENT
BEGIN:VEVENT
UID:feec271d-0dfd-484a-bd26-08261c4b5988
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240206T020043Z
DESCRIPTION:Speaker: Ricky Liu\n\nGiven a group action on a set of combinat
orial objects\, one can study its orbit structure or the behavior of combi
natorial statistics under this action. In this talk\, we'll look at some e
xamples that highlight some of the interesting phenomena that can occur an
d discuss connections to algebra and geometry.
DTSTART;TZID=America/Los_Angeles:20240222T163000
DTEND;TZID=America/Los_Angeles:20240222T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:379
SUMMARY:: Dynamical algebraic combinatorics
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-23/dynamical-algebraic-combi
natorics
END:VEVENT
BEGIN:VEVENT
UID:5b696b88-f97b-440d-b665-a38cb8c033ec
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240216T225818Z
DESCRIPTION:Speaker: Jackson Morris\, University of Washington\n\nThere are
many things in math named after Heinz Hopf. What are they? Where do they
come from? How do they fit together? In this talk\, we will talk about and
connect 3 main examples (with some sub-Hopf examples along the way): the
Hopf fibration\, H-spaces\, and Hopf algebras. I Hopf to see you there!\nZ
oom Link: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240223T143000
DTEND;TZID=America/Los_Angeles:20240223T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:380
SUMMARY:: 1-2-3 Seminar: What the Hopf?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-23/1-2-3-seminar-what-hopf
END:VEVENT
BEGIN:VEVENT
UID:c763bf13-a8db-4d04-b45a-0ca91373147e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T190020Z
DESCRIPTION:Speaker: Toshihiro Uemura (Kansai University)\n\nI will talk ab
out symmetric alpha-stable type \nprocesses having singular/degenerate Lev
y densities \nat 0 via their Dirichlet forms. In particular\, I consider
\nhow the degeneracy or singularity at 0 of the densities \naffect (local)
path properties of the processes. This \nis based on a joint work with M
. Takeda and K. Tsuchida
DTSTART;TZID=America/Los_Angeles:20240223T143000
DTEND;TZID=America/Los_Angeles:20240223T152000
LAST-MODIFIED:20240216T230953Z
LOCATION:THO 119
SEQUENCE:381
SUMMARY:: Estimates of symmetric stable-type processes with singular Levy d
ensities.
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-23/estimates-symmetric-stabl
e-type-processes-singular-levy-densities
END:VEVENT
BEGIN:VEVENT
UID:a3bbc51e-4b9f-4f40-933e-fb0cf3a1efa2
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240212T223559Z
DESCRIPTION:Speaker: Shuntao Chen\n\n'Pinned Balls\, Folding and Particle C
ollisions'\nAdvisor: Chris Burdzy
DTSTART;TZID=America/Los_Angeles:20240226T143000
LAST-MODIFIED:20240213T204259Z
LOCATION:THO 119
SEQUENCE:382
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-26/final-exam
END:VEVENT
BEGIN:VEVENT
UID:36b515ca-976b-4934-806a-568249151ddf
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T185846Z
DESCRIPTION:Speaker: Shuntao Chen (UW)\n\nIn the foldings part\, we estimat
ed the convergence rate for the folding model on the unit sphere in \(R^n\
). This is a toy model for the coupling approach to the convergence rate i
n densely packed pinned billiard balls on a torus. In the particle collisi
ons part\, we gave the asymptotic formula for the collision location of tw
o sample particles with fixed initial locations and velocities distributed
according to the microcanonical ensemble formula.
DTSTART;TZID=America/Los_Angeles:20240226T143000
DTEND;TZID=America/Los_Angeles:20240226T152000
LAST-MODIFIED:20240220T170403Z
LOCATION:THO 119
SEQUENCE:383
SUMMARY:: Pinned Ball\, Foldings and Particle Collisions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-26/pinned-ball-foldings-and-
particle-collisions
END:VEVENT
BEGIN:VEVENT
UID:86154abc-f630-4c4b-a342-b0eb75829c96
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240222T170055Z
DESCRIPTION:Speaker: Leo Mayer\n\nAdvisor: Max Lieblich
DTSTART;TZID=America/Los_Angeles:20240227T140000
LAST-MODIFIED:20240222T170055Z
LOCATION:PDL C-38
SEQUENCE:384
SUMMARY:: General exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-27/general-exam
END:VEVENT
BEGIN:VEVENT
UID:dcfb347a-4db2-4b53-9826-b750d95e4e33
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240216T171108Z
DESCRIPTION:Speaker: Tracy Chin\n\nAdvisor: Cynthia Vinzant
DTSTART;TZID=America/Los_Angeles:20240228T090000
LAST-MODIFIED:20240216T171108Z
LOCATION:THO 211
SEQUENCE:385
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-28/general-exam
END:VEVENT
BEGIN:VEVENT
UID:2df6c480-645a-4bbb-b0b6-f8da645d9321
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240222T170500Z
DESCRIPTION:Speaker: Vasily Ilin\n\nAdvisor: Jingwei Hu
DTSTART;TZID=America/Los_Angeles:20240228T090000
LAST-MODIFIED:20240222T170500Z
LOCATION:THO 235
SEQUENCE:386
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-28/general-exam-0
END:VEVENT
BEGIN:VEVENT
UID:d61806ab-02ae-41a1-ba3e-39597ac8fb6a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240103T232732Z
DESCRIPTION:Speaker: Sergey Fomin\, University of Michigan\n\nAbstract:\nWe
show that various classical theorems of real/complex linear incidence geo
metry\, such as the theorems of Pappus\, Desargues\, Möbius\, and so on\,
can be interpreted as special cases of a single 'master theorem' that invo
lves an arbitrary tiling of a closed oriented surface by quadrilateral til
es. This yields a general mechanism for producing new incidence theorems
and generalizing the known ones.This is joint work with Pavlo Pylyavskyy.
\nNote: This talk begins with a pre-seminar (aimed at graduate students) a
t 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: https://was
hington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240228T153000
DTEND;TZID=America/Los_Angeles:20240228T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:387
SUMMARY:: Incidences and Tilings
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-28/incidences-and-tilings
END:VEVENT
BEGIN:VEVENT
UID:9e0a713b-564e-4f1a-b43e-49236e38c511
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231206T194713Z
DESCRIPTION:Speaker: Boyu Zhang (University of Maryland)\n\nThe singular in
stanton Floer homology of S^1 times a surface has a natural ring structure
given by the pair-of-pants cobordisms. The study of this ring structure
and related questions has a long history that can be dated back to the wor
k of Atiyah and Bott. In this talk\, I will present a complete characteri
zation of the ring structures on singular instanton homology in C coeffici
ents. I will then present several applications of this computation in low
-dimensional topology. For example\, using the properties of this ring st
ructure on instanton homology\, we can show that if L is a link in S^3 tha
t is not the unknot or the Hopf link\, then the fundamental group of the c
omplement of L has an irreducible SU(2) representation\; we also give a co
mplete classification for links whose Khovanov homology have the minimal p
ossible rank.
DTSTART;TZID=America/Los_Angeles:20240228T160000
DTEND;TZID=America/Los_Angeles:20240228T170000
LAST-MODIFIED:20240222T221141Z
LOCATION:PDL C-38
SEQUENCE:388
SUMMARY:: Ring structures on singular instanton homology and link detection
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-29/ring-structures-singular-
instanton-homology-and-link-detection
END:VEVENT
BEGIN:VEVENT
UID:d1b57bd0-8756-4e17-a7be-8554ad692357
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240227T050059Z
DESCRIPTION:Speaker: Curtiss Lyman\, University of Washington\n\nWe study t
he spectral theory of Schrödinger operators \$H = -\Delta + V(x)\$ where t
he potential \$V\$ is periodic with respect to a lattice \$\Lambda\$ and h
as additional symmetries. We first focus on the impact of these symmetries
on the multiplicity of Floquet-Bloch eigenvalues using results from latti
ce and perturbation theory. Our main result then states that the multiplic
ities of the eigenvalues of \$H_z = -\Delta+ zV\$ are constant in \$z\$ on
an open neighborhood of \$\mathbb{R}\$ except for a discrete set.
DTSTART;TZID=America/Los_Angeles:20240229T123000
DTEND;TZID=America/Los_Angeles:20240229T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:389
SUMMARY:: Schrödinger Degeneracies of Lattice Potentials
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-29/schrodinger-degeneracies-
lattice-potentials
END:VEVENT
BEGIN:VEVENT
UID:a88a9fd6-39de-4ab5-b97c-203d4518f667
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240214T221125Z
DESCRIPTION:Speaker: Kelvin Lam (UW)\n\nWe prove that the geodesic X-ray tr
ansform is injective on \$L^2(M)\$ when the Riemannian metric is simple bu
t the metric tensor is only finitely differentiable. The number of derivat
ives needed depends explicitly on dimension\, and in dimension 2 we assume
\$g\in C^{10}\$. Our proof is based on microlocal analysis of the normal
operator: we establish 10 ellipticity and a smoothing property in a suitab
le sense and then use a recent injectivity result on Lipschitz functions [
1]. The proof of this injectivity result in the smooth setting [2] uses th
e parametrix construction for elliptic pseudodifferential operators which
is a standard result in PDE theory [3]\; when the metric tensor is \$C^k\$
\, the Schwartz kernel is not smooth but \$C^{k-2}\$ off the diagonal\, wh
ich makes standard smooth microlocal analysis inapplicable as the correspo
nding symbol only satisfies the pseudodifferential operators symbol estima
tes up to a finite degree.\nAs an application we use the injectivity of th
e geodesic X-ray transform to prove that even for metrics at low regularit
y - the scattering relation on a compact two-dimensional simple manifolds
determines the Dirichlet-to-Neumann map - a major component of the proof o
f boundary rigidity for simple metrics proved in [4] for smooth geometry.
\nReferences:\n[1] Joonas Ilmavirta and Antti Kykkänen\, Pestov identities
and X-ray tomography on manifolds of low regularity\, Inverse Problems an
d Imaging\, December 2021.[2] Paternain\, Gabriel P. and Salo\, Mikko and
Uhlmann\, Gunther\, Geometric inverse problems—with emphasis on two dimens
ions\, volume 4 of Cambridge Studies in Advanced Mathematics\, Cambridge U
niversity Press (2023).[3] Taylor Michael E\, Partial differential equatio
ns. III\, volume 117 of Applied Mathematical Sciences\, Springer-Verlag\,
New York (1997).[4] Leonid Pestov and Gunther Uhlmann\, Two dimensional co
mpact simple Riemannian manifolds are boundary distance rigid. Ann. of Mat
h. (2) \, 161(2):1093–1110 (2005).
DTSTART;TZID=America/Los_Angeles:20240229T140000
DTEND;TZID=America/Los_Angeles:20240229T150000
LAST-MODIFIED:20240219T050901Z
LOCATION:PDL C-038 (tentatively)
SEQUENCE:390
SUMMARY:: Geodesic X-ray transform and boundary rigidity in low regularity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-29/geodesic-x-ray-transform-
and-boundary-rigidity-low-regularity
END:VEVENT
BEGIN:VEVENT
UID:875e7a2b-7ec5-47c9-89d4-89ce0aa51a68
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240223T182645Z
DESCRIPTION:Speaker: Maddie Weinstein\, University of Puget Sound \n\nA rea
l algebraic variety is a set of points in real Euclidean space that satisf
y a system of polynomial equations. Metric algebraic geometry is the stud
y of properties of real algebraic varieties that depend on a metric. In th
is talk\, we introduce metric algebraic geometry through a discussion of V
oronoi cells\, bottlenecks\, and the reach of an algebraic variety. We des
cribe applications to the study of the geometry of data with nonlinear mod
els and to low-rank matrix approximation.\nFormat of event: \nPart I: Gene
ral audience math talk (2:00pm - 2:50pm)\nCOFFEE BREAK (10 minutes)\nPart
II: Advice for early career mathematicians (3:00pm - 3:20pm)
DTSTART;TZID=America/Los_Angeles:20240229T140000
DTEND;TZID=America/Los_Angeles:20240229T152000
LAST-MODIFIED:20240226T221706Z
LOCATION:CMU 228
SEQUENCE:391
SUMMARY:: Metric Algebraic Geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-02-29/metric-algebraic-geometry
END:VEVENT
BEGIN:VEVENT
UID:94053cd7-52d1-4367-ac8f-c80539bf2035
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240212T064526Z
DESCRIPTION:Speaker: Chris Hoffman\n\nStable matchings are a way to pair di
fferent groups in an (arguably) fair manner. Common examples of stable mat
chings come from pairing men and women into couples and pairing medical re
sidents with their first job. The mathematical study of stable matchings b
egan over 60 years ago with the beautiful work of Gale and Shapley. Since
then many statistics of stable matchings have been extensively studied in
the case that the preferences of the different groups are independent and
all preferences are equally likely. Pitel proved that the number of stable
matchings of n men and n women is of order n log(n). In this talk we cons
ider a distribution on preferences that are highly correlated. We show tha
t with these preferences there are exponentially many stable matches.This
is joint work with Avi Levy and Elchanan Mossel.
DTSTART;TZID=America/Los_Angeles:20240229T163000
DTEND;TZID=America/Los_Angeles:20240229T173000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:392
SUMMARY:: Stable matchings with correlated preferences
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-01/stable-matchings-correlat
ed-preferences
END:VEVENT
BEGIN:VEVENT
UID:8522c922-ee0a-46f1-80df-5a8e633e4972
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240219T211105Z
DESCRIPTION:Speaker: Prasit Bhattacharya\, New Mexico State\n\nIn this talk
\, I will demonstrate how the spectrum of topological modular forms and it
s Hurewicz image can be used to identify eight new 192-periodic infinite f
amilies in the stable stems which are not in the Hurewicz image of tmf. Th
ese families live in chromatic layer 2 as their images are nonzero in the
height 2 telescopic localization of the stable stems.\n
DTSTART;TZID=America/Los_Angeles:20240301T133000
DTEND;TZID=America/Los_Angeles:20240301T143000
LAST-MODIFIED:20240822T184151Z
LOCATION:THO 211
SEQUENCE:393
SUMMARY:: New infinite families in the stable homotopy groups of spheres
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-01/new-infinite-families-sta
ble-homotopy-groups-spheres
END:VEVENT
BEGIN:VEVENT
UID:b428b8c5-bc0a-471c-91f0-00f9a64169b0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240226T193510Z
DESCRIPTION:Speaker: Joe Rogge\, University of Washington\n\nGiven a finite
set of points S in a metric space\, an interconnection network is a colle
ction of paths in which it is possible to start at any point of S and trav
el to any other point in S. A Steiner tree is an interconnection network o
f minimum total length\, where the minimum is taken over all possible inte
rconnection networks. Steiner trees in Euclidean space (equipped with the
l_2 metric) are structurally completely characterized and simultaneously v
ery difficult to compute in practice---NP-hard\, in fact. The same is true
when Euclidean space is equipped with the l_1 metric. In this talk\, we w
ill explore the elegant geometry of Steiner trees in the l_1 and l_2 metri
cs\, see a linear time reconstruction algorithm\, and discuss open problem
s.\nZoom Link: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240301T143000
DTEND;TZID=America/Los_Angeles:20240301T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:394
SUMMARY:: 1-2-3 Seminar: Euclidean Steiner Trees
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-01/1-2-3-seminar-euclidean-s
teiner-trees
END:VEVENT
BEGIN:VEVENT
UID:7c4a08c5-71d5-480a-b6e5-6e773942f53d
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20231227T201758Z
DESCRIPTION:Speaker: Cynthia Vinzant\, University of Washington\n\nA Fourie
r quasicrystal is a discrete subset of Euclidean space whose Fourier trans
form is also discrete. These sets are almost periodic\, often without bein
g periodic or even containing long arithmetic progressions. In 2020\, Kura
sov and Sarnak gave a method for constructing one-dimensional Fourier quas
icrystals from multivariate stable polynomials\, which are polynomials who
se zeroes avoid certain regions in the complex plane. The rich theory of s
table polynomials can be used to control and extract features of the corre
sponding quasicrystals. Analogous varieties of higher codimension also giv
e rise to higher dimensional quasicrystals. I will give an introduction to
these objects and the beautiful connection between them. This is based on
joint works with Lior Alon\, Alex Cohen\, Mario Kummer\, and Pavel Kuraso
v.
DTSTART;TZID=America/Los_Angeles:20240301T153000
DTEND;TZID=America/Los_Angeles:20240301T163000
LAST-MODIFIED:20240226T165858Z
LOCATION:ECE 125
SEQUENCE:395
SUMMARY:: Stable polynomials and Fourier quasicrystals
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-01/stable-polynomials-and-fo
urier-quasicrystals
END:VEVENT
BEGIN:VEVENT
UID:f1a0d469-4f37-4f8b-9c37-475f5f2a2a07
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events
CLASS:PUBLIC
CREATED:20240224T041317Z
DESCRIPTION:Speaker: Sergey Fomin\, University of Michigan\n\n\nAbstract: P
ick a few points on the plane. Draw several lines through them. Mark some
points on these lines\, such as the points where the lines intersect. Draw
additional lines through some of these points\, and so on. Sometimes this
process produces miracles: points lying on the same line for no obvious r
eason. I will explain where these miracles are coming from.
DTSTART;TZID=America/Los_Angeles:20240303T130000
DTEND;TZID=America/Los_Angeles:20240303T140000
LAST-MODIFIED:20240224T041317Z
LOCATION:ARC 147
SEQUENCE:396
SUMMARY:: Geometric miracles
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-03/geometric-miracles
END:VEVENT
BEGIN:VEVENT
UID:28e305ea-d14b-4089-9381-01a9adc1455f
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240222T170237Z
DESCRIPTION:Speaker: Alexander Waugh\n\nAdvisors: Danny Shi and John Palmie
ri
DTSTART;TZID=America/Los_Angeles:20240304T103000
LAST-MODIFIED:20240222T170237Z
LOCATION:MLR 316
SEQUENCE:397
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-04/general-exam
END:VEVENT
BEGIN:VEVENT
UID:6cbf4fae-edbd-42a6-a53a-0ae74eb835ef
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240222T170352Z
DESCRIPTION:Speaker: Madeline Brown\n\nAdvisor: Christopher Hoffman
DTSTART;TZID=America/Los_Angeles:20240304T143000
LAST-MODIFIED:20240222T170352Z
LOCATION:THO 119
SEQUENCE:398
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-04/general-exam-0
END:VEVENT
BEGIN:VEVENT
UID:b42a66c8-3476-468b-aa85-6b265e0bdca4
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240125T185932Z
DESCRIPTION:: Probability Seminar \n\nTHO 119\nSeminars\nhttps://math.washi
ngton.edu/events/2024-03-04/probability-seminar
DTSTART;TZID=America/Los_Angeles:20240304T143000
DTEND;TZID=America/Los_Angeles:20240304T152000
LAST-MODIFIED:20240202T202416Z
LOCATION:THO 119
SEQUENCE:399
SUMMARY:: Probability Seminar
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-04/probability-seminar
END:VEVENT
BEGIN:VEVENT
UID:6afdebe3-da17-49ac-9381-6a2570a9af8b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240303T213350Z
DESCRIPTION:Speaker: Irmak Balçik\, Northwestern University\n\nIn this talk
\, we will examine the effect that quadratic base change of an elliptic cu
rve $E$ over a number field $K$ has on its torsion subgroup $E(K)_{\text{t
or}}.$ If $K=\mathbb{Q}\,$ it has been extensively studied. As a step towa
rd number fields greater than $\mathbb{Q}$\, we will start with elliptic c
urves defined over a fixed quadratic field. The proofs require the use of
several techniques ranging from the Galois action to the study of quadrati
c points on certain modular curves.
DTSTART;TZID=America/Los_Angeles:20240305T110000
DTEND;TZID=America/Los_Angeles:20240305T235000
LAST-MODIFIED:20240303T213350Z
LOCATION:PDL C-401
SEQUENCE:400
SUMMARY:: Growth of Torsion of Elliptic Curves Over Imaginary Quadratic Fie
lds with Class Number 1
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-05/growth-torsion-elliptic-c
urves-over-imaginary-quadratic-fields-class-number-1
END:VEVENT
BEGIN:VEVENT
UID:9cef942f-d461-4117-93d9-e613279f1bc9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240101T214426Z
DESCRIPTION:Speaker: Weinan Wang (University of Oklahoma)\n\nIn this talk\,
I will discuss some recent well-posedness and stability results for sever
al incompressible fluid equations. More precisely\, I will first discuss a
global well-posedness result for the 2D Boussinesq equations with fractio
nal dissipation and the long-time behavior of solutions. For the Oldroyd-B
model\, we show that small smooth data lead to global and stable solution
s. When the Navier-Stokes is coupled with the magnetic field in the magnet
o-hydrodynamics (MHD) system\, solutions near a background magnetic field
are shown to be always global in time. The magnetic field stabilizes the f
luid. In the examples for Oldroyd-B and MHD\, the systems governing the pe
rturbations can be converted to damped wave equations\, which reveal the s
moothing and stabilizing effect. If time permits\, I will discuss the stab
ilization and dissipation enhancement in stochastic PDEs together with som
e open problems.
DTSTART;TZID=America/Los_Angeles:20240305T133000
LAST-MODIFIED:20240207T162151Z
SEQUENCE:401
SUMMARY:: Global well-posedness\, long-time behavior of solutions\, and the
stabilization phenomenon for some fluid equations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-05/global-well-posedness-lon
g-time-behavior-solutions-and-stabilization-phenomenon
END:VEVENT
BEGIN:VEVENT
UID:cf6da06e-d7e3-488f-8b82-f21e7c9f45a5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240227T192544Z
DESCRIPTION:Speaker: Karl Schwede (Utah)\n\n\n Title: Singularities in mixe
d characteristic via alterationsAbstract: Multiplier ideals and test ideal
s are ways to measure singularities in characteristic zero and p > 0 respe
ctively. In characteristic zero\, multiplier ideals are computed by a suf
ficiently large blowup by comparing the canonical module of the base and t
he resolution. In characteristic p > 0\, test ideals were originally defi
ned via Frobenius\, but under moderate hypotheses\, can be computed via a
sufficiently large alteration again via canonical modules. In mixed chara
cteristic (for example over the p-adic integers) we show that the various
mixed analogs of multiplier/test ideals can be computed via a single suffi
ciently large alteration\, at least when one builds in a small perturbatio
n term. Besides unifying the three pictures\, this has various applicatio
ns. This is joint work with Bhargav Bhatt\, Linquan Ma\, Zsolt Patakfalvi
\, Kevin Tucker\, Joe Waldron and Jakub Witaszek.
DTSTART;TZID=America/Los_Angeles:20240305T133000
LAST-MODIFIED:20240227T192544Z
LOCATION:PDL C-38
SEQUENCE:402
SUMMARY:: Singularities in mixed characteristic via alterations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-05/singularities-mixed-chara
cteristic-alterations
END:VEVENT
BEGIN:VEVENT
UID:540840d9-caf9-449c-895e-555cf3627db4
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240227T214346Z
DESCRIPTION:Speaker: Janina Letz (U. Bielefeld and UCLA)\n\n\n\nTitle: Kosz
ul homomorphisms and universal resolutions in local algebra\n \nAbstract:
I will define a Koszul property for a homomorphism of local\nrings $\varph
i \colon Q \to R$. Koszul homomorphisms have good\nhomological properties.
Using $\mathrm{A}_\infty$-structures one can\nconstruct universal free re
solutions of $R$-modules from free\nresolutions over $Q$\, generalizing th
e classical construction by\nPriddy. This recovers the resolutions of Sham
ash and Eisenbund for\ncomplete intersection homomorphisms and the resolut
ions of Iyengar and\nBurke for Golod homomorphisms. This is based on work
with Ben Briggs\,\nJames Cameron and Josh Pollitz.
DTSTART;TZID=America/Los_Angeles:20240305T143000
LAST-MODIFIED:20240227T214346Z
LOCATION:PDL C-38
SEQUENCE:403
SUMMARY:: Koszul homomorphisms and universal resolutions in local algebra
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-05/koszul-homomorphisms-and-
universal-resolutions-local-algebra
END:VEVENT
BEGIN:VEVENT
UID:59d5ac8e-3074-4fb8-9479-8cbf561a4323
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20231127T232016Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
Prospective grad students - Koblitz\n\n\nCommittee Reports\nNew Business\n
Executive Session\nAdjournment\n\n\n\nMINUTES\nThe regular meeting of the
faculty of the Department of Mathematics was held virtually via Zoom at 3:
30pm PST\, March 5\, 2024. Max Lieblich\, Chair\, presided over the meetin
g. Rose Choi was the recording secretary.\nThe meeting began with approval
of the previous meeting’s minutes.\nChair's Remarks\nPiotr Pstrągowski wi
ll be joining the department as an Assistant Professor in January 2026. Th
ere is one additional hire that is still being negotiated.\nThe department
beer bash is this Friday\, March 8th.\nAnnouncements\nJessie Loucks-Tavit
as won a poster prize at the 2024 Joint Mathematics Meetings.\nUndergradua
te double major Cin Dacey Ahrens (computer science and mathematics) was aw
arded the President’s Freshman Medalist Award.\nThe WXML poster session is
on Thursday at 5pm. AWM-UW is also screening “Secrets of the Surface: The
Mathematical Vision of Maryam Mirzakhani” the same evening at 7pm.\nProsp
ective graduate students will be visiting the campus this Thursday and Fri
day. Please make them feel welcome.\nCommittee Reports\nThe Graduate Commi
ttee proposes the following changes to the manifolds sequence:\n\nChange t
itle to “Geometry and Topology”\nRemove some point-set topology and add so
me algebraic topology e.g. simplicial homology in the first quarter\n\nStu
dents who want to take this sequence but have never taken an undergrad cla
ss in topology will be strongly encouraged to read a set-topology book ove
r the summer before the start of classes and/or enroll concurrently in Mat
h 544 and Math 441.\nThe plan for implementing the changes is to:\n\nRun t
he new version in the coming year and see how it goes.\nAsk for the depart
ment's approval to make the change permanent if it goes well.\n\nADJOURNME
NT\nThere being no new business\, the meeting passed into executive sessio
n at 3:44pm.
DTSTART;TZID=America/Los_Angeles:20240305T153000
DTEND;TZID=America/Los_Angeles:20240305T163000
LAST-MODIFIED:20240422T213358Z
LOCATION:via Zoom
SEQUENCE:404
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-05/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:d51a41bc-a790-4931-b578-6e382bcbf8dc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240104T005453Z
DESCRIPTION:Speaker: Matjaž Konvalinka\, University of Ljubljana\n\nAbstrac
t:\nAlternating sign matrices (ASMs) were introduced by Robbins and Rumsey
in the early 1980s. Together with Mills they conjectured an enumerative f
ormula for the number of ASMs of size \$n \times n\$\, which was proved in
dependently by Zeilberger and Kuperberg about 10 years later. In this talk
\, I will present the first bijective proof of this result. A crucial part
is played by signed sets and sijections (bijections on signed sets). This
is joint work with Ilse Fischer.\nNote: This talk begins with a pre-semin
ar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10
.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID:
915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240306T153000
DTEND;TZID=America/Los_Angeles:20240306T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:405
SUMMARY:: The first bijective proof of the ASM theorem
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-06/first-bijective-proof-asm
-theorem
END:VEVENT
BEGIN:VEVENT
UID:f178f3d3-abbc-4f2e-b0e3-cd61099c3098
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240307T014834Z
DESCRIPTION:Speaker: Ryan Bushling\, Emily Casey\, Linhang Huang\, Garrett
Mulcahy\, Jacob Ogden\, Ignacio Tejeda\, Kevin Tully \n\n5 minute research
introductions given by graduate students in analysis
DTSTART;TZID=America/Los_Angeles:20240307T123000
DTEND;TZID=America/Los_Angeles:20240307T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:406
SUMMARY:: GSAS: Lightning Talks
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-07/gsas-lightning-talks
END:VEVENT
BEGIN:VEVENT
UID:8b8c0ea7-b777-417a-9eac-30cc90d0e1ef
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240214T221306Z
DESCRIPTION:Speaker: Zachary Nicolaou (UW)\n\nComplex systems amount to mor
e than the sum of their parts\, exhibiting emergent and collective behavio
rs that defy expectations and resist classification. Nevertheless\, over t
he last several decades\, universal mechanisms have been recognized leadin
g to synchronization in coupled oscillators\, symmetry-breaking pattern fo
rmation\, and the development of chaotic dynamics\, which promise to shine
a light on complex phenomena. More recently\, machine-learning methods ha
ve also emerged to automate and streamline the discovery of parsimonious a
nd accurate models of real systems. This understanding may enable the desi
gn of new technological paradigms for computation\, information processing
\, and self-assembly that leverage complexity\, much in the way that biolo
gical systems have evolved to do. In this talk\, I will discuss some recen
t efforts to design and manipulate emergent behavior in mechanical systems
\, networks\, and pattern-forming media.
DTSTART;TZID=America/Los_Angeles:20240307T140000
LAST-MODIFIED:20240304T045937Z
LOCATION:PDL C-401
SEQUENCE:407
SUMMARY:: Discovery and design of complex dynamics and pattern formation
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-07/discovery-and-design-comp
lex-dynamics-and-pattern-formation
END:VEVENT
BEGIN:VEVENT
UID:87145a03-5b25-417c-8a46-82f665b58081
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240223T235315Z
DESCRIPTION:Speaker: Bobby Wilson\n\nGiven a one-dimensional set in the pla
ne\, what is the likelihood that a random line intersects the given set? T
his probability is fundamentally connected to the regularity of the given
set. In particular\, if a set is similar to a finite length curve\, then t
he probability is positive. Moreover\, the probability is zero if and only
if the set meets every finite length curve on a null set. We will discuss
this classical regularity result and related questions pertaining to frac
tal sets.
DTSTART;TZID=America/Los_Angeles:20240307T150000
DTEND;TZID=America/Los_Angeles:20240307T160000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-038
SEQUENCE:408
SUMMARY:: Buffon's Needle Probability and Regularity of Sets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-07/buffons-needle-probabilit
y-and-regularity-sets
END:VEVENT
BEGIN:VEVENT
UID:3cd5227a-b40c-41b4-9682-17c3b1b8db17
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events\, Student Activities
CLASS:PUBLIC
CREATED:20240126T063448Z
DESCRIPTION:: WXML poster session\n\n\nSpecial Events\, Student Activities
\nhttps://math.washington.edu/events/2024-03-08/wxml-poster-session
DTSTART;TZID=America/Los_Angeles:20240307T170000
DTEND;TZID=America/Los_Angeles:20240307T183000
LAST-MODIFIED:20240126T063448Z
SEQUENCE:409
SUMMARY:: WXML poster session
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-08/wxml-poster-session
END:VEVENT
BEGIN:VEVENT
UID:2183f6ec-430b-42ae-b12a-a1a463e8bee5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240304T214257Z
DESCRIPTION:Speaker: Cody Tipton\, University of Washington\n\nOne of the f
irst examples of Koszul duality in the world of quadratic algebras is the
duality between the symmetric algebras S(V) and the exterior algebra \Lamb
da(V^*). This arises from taking relations in S(V) and finding the orthog
onal complement with respect to some non-degenerate bilinear form. Since
these algebras are Koszul (having some minimal graded resolution) then the
re is some equivalence between some subcategories of their derived categor
ies. We will first introduce the conept of Koszul duality in the realm of
algebras and describe some important examples.Next\, we will introduce th
e extension of Koszul duality in the world of operads and give a few impli
cations of the relationships between their respective algebras\, specifica
lly to the deformation theories of them. The most important examples of K
oszul duality will come from the operads Ass\, Com\, and Lie\, the operads
encoding associative\, commutative associative\, and Lie algebras respect
ively. In particular\, the algebra Ass is Koszul dual to itself and Com is
Koszul dual to Lie.Finally\, we will introduce the two operads I have bee
n working with\, which are proved to be Koszul dual. Specifically\, we wi
ll talk about the operad n-Lie_d\, the operad encoding n-Lie algebras of d
egree d\, and its Koszul dual n-Com_{-d+n-2}\, the operad encoding algebra
s with n-arity operations of degree -d+n-2 that satisfy relations coming f
rom a Young tableaux of shape (n\,n-1).\nZoom Link: https://washington.zoo
m.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240308T143000
DTEND;TZID=America/Los_Angeles:20240308T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:410
SUMMARY:: 1-2-3 Seminar: Koszul Duality\, Operads\, and Young Tableaux
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-08/1-2-3-seminar-koszul-dual
ity-operads-and-young-tableaux
END:VEVENT
BEGIN:VEVENT
UID:81c540d1-6ae2-4f33-a338-d74a1533e74a
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240304T210131Z
DESCRIPTION:Speaker: Erin Connelly\n\n'Classical and Computational Algebrai
c Geometry in Computer Vision'\nAdvisor: Rekha Thomas
DTSTART;TZID=America/Los_Angeles:20240314T103000
LAST-MODIFIED:20240304T210210Z
LOCATION:PDL C-401
SEQUENCE:411
SUMMARY:: Final exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-14/final-exam
END:VEVENT
BEGIN:VEVENT
UID:7961d6bb-da9c-48c9-9094-b69b6cf8db86
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240126T220704Z
DESCRIPTION:Speaker: Caleb Marshall (UBC)\n\nThe Favard Length of a compact
subset of the plane is the average length of its projection onto linear s
ubspaces. Due to a theorem of A. Besicovitch\, the Favard length of a set
of finite length is zero if-and-only-if the set is purely 1-unrectifiable.
However\, precise asymptotics for delta thickenings (as delta decreases t
o zero) of unrectifiable sets is still an open question--even over familie
s of sets with many additional structures. We call such asymptotic stateme
nts Quantitative Besicovitch Projection Theorems (QBPT's).\nIn the first p
ortion of this talk\, we discuss QBPT's for rational product Cantor sets--
a class of self-similar product sets whose iterated function systems are g
iven by rational digit sets. We motivate these sets as\, ``canonical worki
ng examples''\, for studying the Favard Length and QBPT's by contrasting t
heir projection's behaviour with those of less-structured sets. We also di
scuss some foundational tools--such as Riesz products and Mask Polynomials
of Digit Sets--which we use to prove QBPT's for rational product Cantor s
ets. Emphasis is placed on our new advances in estimating Riesz products a
ssociated to these sets.In the second portion of the talk\, we focus on th
e Cyclotomic Structure of digit sets. This introduces another of our new a
dvancements--an extension of the Lam-Leung structure theorem for cyclotomi
c polynomial divisors. We sketch the connection between such structure the
orems for cyclotomic polynomials\, strong estimates upon associated Riesz
products\, and QBPT's for rational product Cantor sets. We conclude with o
ngoing research and some open questions.This is joint work with Izabella Ł
aba (UBC)
DTSTART;TZID=America/Los_Angeles:20240326T133000
DTEND;TZID=America/Los_Angeles:20240326T153000
LAST-MODIFIED:20240212T222737Z
LOCATION:PDL C-401
SEQUENCE:412
SUMMARY:: The Favard Length and Cyclotomic Structure of Rational Product Ca
ntor Sets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-26/favard-length-and-cycloto
mic-structure-rational-product-cantor-sets
END:VEVENT
BEGIN:VEVENT
UID:7c2afa5a-d352-4270-9b65-eaa8b2b5a092
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240319T185513Z
DESCRIPTION:Speaker: Ming Hao Quek (Stanford)\n\n\n\nPre-seminar\nTitle: In
troduction to the monodromy conjecture\nAbstract: I will give a brief intr
oduction to the monodromy conjecture of Denef—Loeser\, which predicts a on
e-way relationship between two objects arising in singularity theory.\n \n
Seminar\nTitle: Towards a geometric version of the monodromy conjecture\nA
bstract: I will formulate a geometric version of the conjecture and elabo
rate on ongoing work\, starting from the case of Newton non-degenerate hyp
ersurfaces. These are hypersurface singularities whose singularities are g
overned\, up to a certain extent\, by faces of their Newton polyhedra. The
extent to which the former is governed by the latter is a key aspect of t
he conjecture. Depending on time\, I will try to sketch a recent pursuit t
o reduce the conjecture to a setting that is slightly more general than th
e case of Newton non-degenerate hypersurfaces.
DTSTART;TZID=America/Los_Angeles:20240326T134500
LAST-MODIFIED:20240319T185513Z
LOCATION:PDL C-38
SEQUENCE:413
SUMMARY:: Towards a geometric version of the monodromy conjecture
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-26/towards-geometric-version
-monodromy-conjecture
END:VEVENT
BEGIN:VEVENT
UID:433541c7-975f-4a71-a515-605135173c3c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240130T190644Z
DESCRIPTION:: CANCELED: TBA\n\nPDL C-401\nSeminars\nhttps://math.washington
.edu/events/2024-03-28/tba
DTSTART;TZID=America/Los_Angeles:20240328T153000
DTEND;TZID=America/Los_Angeles:20240328T163000
LAST-MODIFIED:20240326T023410Z
LOCATION:PDL C-401
SEQUENCE:414
SUMMARY:: CANCELED: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-28/tba
END:VEVENT
BEGIN:VEVENT
UID:1717b1b0-e088-4dc1-8193-9b5edbf20146
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240324T004047Z
DESCRIPTION:Speaker: Justin Bloom\, University of Washington\n\nLie algebra
s play a fundamental role in the representation theory of groups. The conn
ection between real and complex representations for Lie groups and their c
orresponding Lie algebras is understood classically\, but we will be inter
ested in representations over positive characteristic. In this setting it
is important to introduce the concept of a restricted Lie algebra. A parti
cular connection I’ve been interested in is how a given group and restrict
ed Lie algebra can have the same abelian category of representations\, but
with different tensor products. A group or a restricted Lie algebra may a
ppear innocent enough while having wild representation type\, making it ve
ry difficult to say anything reasonable about these sorts of things. Never
theless\, we will do what we can\, even conjecture if we must!\nZoom Link:
https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240329T143000
DTEND;TZID=America/Los_Angeles:20240329T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:415
SUMMARY:: 1-2-3 Seminar: Lie algebras and tensor products
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-03-29/1-2-3-seminar-lie-algebra
s-and-tensor-products
END:VEVENT
BEGIN:VEVENT
UID:ba4901f1-7f57-4236-b22c-12fa64beb060
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240326T070007Z
DESCRIPTION:Speaker: Yiyun He (UC Irvine)\n\nWe present a highly effective
algorithmic approach\, PMM\, for generating \epsilon-differentially privat
e synthetic data in a bounded metric space with near-optimal utility guara
ntees under the 1-Wasserstein distance. In particular\, for a dataset in t
he hypercube [0\,1]^d\, our algorithm generates synthetic dataset such tha
t the expected 1-Wasserstein distance between the empirical measure of tru
e and synthetic dataset is O(n^{-1/d}) for d>1. Our accuracy guarantee is
optimal up to a constant factor for d>1\, and up to a logarithmic factor f
or d=1. Also\, PMM is time-efficient with a fast running time of O(\epsilo
n d n). Derived from PMM algorithm\, more variations of synthetic data pub
lishing problems can be studied under different settings.
DTSTART;TZID=America/Los_Angeles:20240401T143000
DTEND;TZID=America/Los_Angeles:20240401T152000
LAST-MODIFIED:20240326T070007Z
LOCATION:CLK 219
SEQUENCE:416
SUMMARY:: Differentially private synthetic data generation
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-01/differentially-private-sy
nthetic-data-generation
END:VEVENT
BEGIN:VEVENT
UID:2eff5f1b-ce8c-4ca1-8922-15d31a01437c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240324T190503Z
DESCRIPTION:Speaker: Niven Achenjang\, MIT\n\nThe Brauer groups Br(-) = H^2
(-\, Gm) of fields and schemes have found much utility in number theory\,
but Brauer groups of stacks have yet to receive as much attention. In this
setting\, new phenomena emerge\; for example\, the Brauer group of a stac
ky curve over an algebraically closed field can still be non-trivial\, i.e
. the analogue of Tsen's theorem fails. In this talk\, after summarizing s
ome of the previous work on the Gm-cohomology of modular curves\, I will e
xplain how one can compute the Brauer group of Y_0(2)\, the modular curve
parameterizing elliptic curves equipped with a cyclic subgroup of order 2.
Along the way\, I hope to indicate which features of this computation one
should expect to generalize to other modular curves as well as to indicat
e which features I personally am not yet sure how to fit into a nice gener
al picture. This is joint work with Deewang Bhamidipati\, Aashraya Jha\, C
aleb Ji\, and Rose Lopez.
DTSTART;TZID=America/Los_Angeles:20240402T110000
DTEND;TZID=America/Los_Angeles:20240402T120000
LAST-MODIFIED:20240324T190503Z
LOCATION:PDL C-401
SEQUENCE:417
SUMMARY:: The Brauer Group of Stacky Y_0(2)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-02/brauer-group-stacky-y02
END:VEVENT
BEGIN:VEVENT
UID:43882cbd-f2b5-493a-b5fe-70c28507bdc4
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240325T224248Z
DESCRIPTION:Speaker: Narek Hovsepyan\, Rutgers University\n\nSecond Harmoni
c Generation (SHG) is a process in which the input wave (e.g. laser beam)
interacts with a nonlinear medium and generates a new wave\, called the se
cond harmonic\, at double the frequency of the original input wave. We inv
estigate whether there are situations in which the generated second harmon
ic wave does not scatter and is localized inside the medium\, i.e.\, the n
onlinear interaction of the medium with the probing wave is invisible to a
n outside observer. This leads to the analysis of a semilinear elliptic sy
stem formulated inside the medium with non-standard boundary conditions. M
ore generally\, we set up a mathematical framework needed to investigate a
multitude of questions related to the nonlinear scattering problem associ
ated with SHG (or other similar multi-frequency optical phenomena). This i
s based on a joint work with Fioralba Cakoni\, Matti Lassas and Michael Vo
gelius.
DTSTART;TZID=America/Los_Angeles:20240402T113000
DTEND;TZID=America/Los_Angeles:20240402T122000
LAST-MODIFIED:20240327T010910Z
LOCATION:SMI 105
SEQUENCE:418
SUMMARY:: On the lack of external response of a nonlinear medium in the sec
ond-harmonic generation process
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-02/lack-external-response-no
nlinear-medium-second-harmonic-generation-process
END:VEVENT
BEGIN:VEVENT
UID:14fc0df3-8ebe-45fa-a643-b90d9127c49e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20231012T233750Z
DESCRIPTION:Speaker: Alan Chang (Washington University St Louis)\n\nIn the
first part of the talk\, we introduce the Venetian blind construction\, a
technique in geometric measure theory. One application is the proof of Fal
coner's digital sundial theorem\, which states that we can construct a set
in the plane to have any desired projections\, up to null sets. This resu
lt has a dual formulation\, known as Davies's efficient covering theorem\,
which states that we can cover any measurable set in the plane by lines w
ithout increasing the total measure. \n\nIn the second part of the talk\,
we discuss the proofs of these classical results as well as some recent re
sults. By using Venetian blinds\, we can prove a variant of Davies's effic
ient covering theorem in which we replace lines with curves. (This is join
t work with Alex McDonald and Krystal Taylor.) Another application is the
construction of Kakeya sets for curves. (This is joint work with Marianna
Csörnyei.)
DTSTART;TZID=America/Los_Angeles:20240402T133000
DTEND;TZID=America/Los_Angeles:20240402T153000
LAST-MODIFIED:20240329T183836Z
LOCATION:PDL C-401
SEQUENCE:419
SUMMARY:: Venetian blinds\, digital sundials\, efficient coverings\, and Ka
keya sets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-02/venetian-blinds-digital-s
undials-efficient-coverings-and-kakeya-sets
END:VEVENT
BEGIN:VEVENT
UID:0b293b29-4966-4e84-afe9-77c52da4dadc
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240330T233629Z
DESCRIPTION:Speaker: Ben Tighe (Oregon)\n\n\nMain talk (2:30pm)Title: Ratio
nal v.s. k-du Bois SingularitiesAbstract: du Bois singularities are a broa
d class of singularities where one can study Hodge theory and deformation
theory. Two fundamental results concerning these singularities are that l
og-canonical (Kollár-Kovács) and rational (Kovács\, Saito) singularities a
re du Bois. While du Bois singularities are 'very close' to being log-can
onical\, the du Bois property is much less restrictive than having rationa
l singularities. In this talk\, we will outline this gap by studying holo
morphic and logarithmic extension for the 'k-du Bois' property. Of partic
ular interest will be the case when X is a singular symplectic variety\, w
here the du Bois complex admits many useful symmetries.\n\nPre-talk (1:45p
m)\nTitle: The Holomorphic and Logarithmic Extension PropertiesAbstract:
Let X be a normal complex variety. An important property in the Hodge theo
ry of singularities is holomorphic extension: every holomorphic p-form on
the regular locus U 'extends holomorphically' across the singularities. Ho
lomorphic extension holds in all degrees when X has klt or rational singul
arities\, but this can fail for broad classes of singularities. If X has l
og-canonical or du Bois singularities\, then holomorphic forms on U instea
d extend meromorphically with logarithmic poles. We will investigate these
properties with concrete examples and highlight how holomorphic/logarithm
ic extension can be detected by classic vanishing conditions corresponding
to these singularities.
DTSTART;TZID=America/Los_Angeles:20240402T143000
LAST-MODIFIED:20240330T233629Z
LOCATION:PDL C-38
SEQUENCE:420
SUMMARY:: Rational v.s. k-du Bois Singularities
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-02/rational-vs-k-du-bois-sin
gularities
END:VEVENT
BEGIN:VEVENT
UID:1b7ca4db-497d-45f4-9908-2d3f5a8a6161
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20231127T232038Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
PIMS - Jayadev Athreya\nFaculty Senate - Farbod Shokrieh\nDiversity Commit
tee - Farbod Shokrieh\n\n\nCommittee Reports\nNew Business\nExecutive Sess
ion\nAdjournment\n\n\n\nMINUTES\nThe regular meeting of the faculty of the
Department of Mathematics was held virtually via Zoom at 3:30pm PST\, Apr
il 2\, 2024. Max Lieblich\, Chair\, presided over the meeting. Rose Choi w
as the recording secretary.\nThe meeting began with approval of the previo
us meeting’s minutes.\nChair's Remarks\nThe chair thanked the members of t
he Appointments Committee along with all the faculty who helped with the r
ecruiting efforts of this year’s tenure-track search. We have successfully
recruited three people: Piotr Pstrągowski\, Dan Mikulincer\, and Giovanni
Inchiostro. Dan and Giovanni will be joining us in the Fall\; Piotr will
arrive in January of 2026.\nThe chair opened the floor to faculty who wish
ed to share their memories of Jim Morrow. Details for his remembrance cere
mony will be shared as soon as they are available.\nAnnouncements\nThere a
re travel awards available to researchers interested in attending a PIMS/B
IRS workshop. An email will be sent with details on how to apply.\nThe Div
ersity Committee is collecting questions and news to share at their upcomi
ng meeting with Maya Smith\, the CAS associate dean for equity\, justice a
nd inclusion. Please send emails to any of the committee members.\nThe dep
artment’s faculty senator\, Farbod Shokrieh\, is requesting input from the
department on two proposed pieces of legislation being brought to the Fac
ulty Senate pertaining to promotion and retention. An email with details h
as been shared with the voting faculty.\nADJOURNMENT\nThere being no new b
usiness\, the meeting passed into executive session at 4:26pm.
DTSTART;TZID=America/Los_Angeles:20240402T153000
DTEND;TZID=America/Los_Angeles:20240402T163000
LAST-MODIFIED:20240422T231402Z
LOCATION:via Zoom
SEQUENCE:421
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-02/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:4cd2378c-adc3-47f4-aabd-e675e9a6b19b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240325T221011Z
DESCRIPTION:Speaker: Brendon Rhoades\, University of California\, San Diego
\n\nAbstract:\nThe Schensted correspondence is a bijection between permuta
tions in \$S_n\$ and pairs of standard Young tableaux \$(P\,Q)\$ with \$n\
$ boxes which have the same shape. This bijection has remarkable propertie
s in algebraic and enumerative combinatorics. Motivated by a problem in cr
yptography\, we study a graded quotient \$R_n\$ of the polynomial ring in
\$n \times n\$ variables whose standard monomial theory encodes Viennot's
shadow line formulation of the Schensted correspondence. The quotient ring
\$R_n\$ may be understood as coming from the locus of permutation matrice
s via the machine of orbit harmonics. I will report on work of my student
Moxuan Liu who has extended this theory to colored permutation groups.\nNo
te: This talk begins with a pre-seminar (aimed at graduate students) at 3:
30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: https://washing
ton.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240403T153000
DTEND;TZID=America/Los_Angeles:20240403T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:422
SUMMARY:: Increasing subsequences\, orbit harmonics\, and shadow play
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-03/increasing-subsequences-o
rbit-harmonics-and-shadow-play
END:VEVENT
BEGIN:VEVENT
UID:9fb26aaf-6448-468e-9b11-572c7fd4ac5d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240402T003435Z
DESCRIPTION:Speaker: Garrett Mulcahy\, University of Washington\n\nOriginal
ly posed in the 18th century by Gaspard Monge\, the problem central to opt
imal transport is to transport a unit mass in some shape (i.e. a probabili
ty measure) into another shape while doing the least amount of work. This
1-2-3 talk will walk through the computation of optimal transport maps in
explicit settings and conclude with a brief discussion of the geometry of
Wasserstein space (the space of probability measures). This expository tal
k should be accessible to all graduate students\; all necessary probabilit
y and analysis notions will be introduced in the talk. \nZoom Link: https:
//washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240405T143000
DTEND;TZID=America/Los_Angeles:20240405T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:423
SUMMARY:: 1-2-3 Seminar: A Gentle Introduction to Optimal Transport
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-05/1-2-3-seminar-gentle-intr
oduction-optimal-transport
END:VEVENT
BEGIN:VEVENT
UID:b1bc8fb3-6eca-4dc1-ba5f-c9083f5e973d
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20231227T200329Z
DESCRIPTION:Speaker: Anna Gilbert\, Yale University\n\nBuilding trees to re
present or to fit distances is a critical component of phylogenetic analys
is\, metric embeddings\, approximation algorithms\, geometric graph neural
nets\, and the analysis of hierarchical data. We summarize several recent
efforts to fit data to trees\, including several works of ours that lever
age ideas from the mathematical analysis of hyperbolic geometry to study t
he tree fitting problem as finding the relation between the hyperbolicity
(ultrametricity) vector and the error of tree (ultrametric) embedding. The
n\, we discuss the use (misuse and abuse) of such embeddings in geometric
graph neural nets. Joint work with Rishi Sonthalia\, Joon-Hyeok Yim\, and
Isay Katsman.
DTSTART;TZID=America/Los_Angeles:20240405T153000
DTEND;TZID=America/Los_Angeles:20240405T163000
LAST-MODIFIED:20240326T231537Z
LOCATION:ECE 125
SEQUENCE:424
SUMMARY:: Seeing the forest for the trees
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-05/seeing-forest-trees
END:VEVENT
BEGIN:VEVENT
UID:6962627e-1363-4d86-8394-f0c3a4df0022
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240326T070215Z
DESCRIPTION:Speaker: Andrea Ottolin (UW)\n\nI will discuss a general approa
ch to derive nearly-exact formulas for average hitting times in large grap
hs. As a main example\, we will consider the case of the stochastic block
model with two communities\, though the idea is much more general. Time p
ermitting\, I will explain the connection with community detection.\n
DTSTART;TZID=America/Los_Angeles:20240408T143000
DTEND;TZID=America/Los_Angeles:20240408T152000
LAST-MODIFIED:20240401T202444Z
LOCATION:CLK 219
SEQUENCE:425
SUMMARY:: Hitting times in random graphs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-08/hitting-times-random-grap
hs
END:VEVENT
BEGIN:VEVENT
UID:2b3c540e-03b8-42c5-8b20-b22361bb675d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240206T181243Z
DESCRIPTION:Speaker: Galen Dorpalen-Barry\, University of Oregon\n\nAbstrac
t:\nMotivated by a conjecture of Maglione–Voll from group theory\, we intr
oduce and study the Poincaré-extended ab-index. This polynomial generalize
s both the ab-index and the Poincaré polynomial. For posets admitting R-la
belings (a relaxation of EL-labelings)\, we prove that the coefficients ar
e nonnegative and give a combinatorial description of the coefficients. Th
is proves Maglione–Voll’s conjecture as well as a conjecture of the Kühne–
Maglione. We also define the pullback ab-index generalizing the cd-index o
f face posets for oriented matroids. Our results recover\, generalize and
unify results from Billera–Ehrenborg–Readdy\, Bergeron–Mykytiuk–Sottile–va
n Willigenburg\, Saliola–Thomas\, and Ehrenborg. This is joint work with J
oshua Maglione and Christian Stump.\nNote: This talk begins with a pre-sem
inar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:
10.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID
: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240410T153000
DTEND;TZID=America/Los_Angeles:20240410T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:426
SUMMARY:: The Poincare-Extended ab-Index
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-10/poincare-extended-ab-inde
x
END:VEVENT
BEGIN:VEVENT
UID:36ea0c29-ba9b-454f-a37d-547bcd56ef48
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240409T182643Z
DESCRIPTION:Speaker: Ruirui Wu\, University of Washington\n\nThe classical
Calderón inverse problem asks whether we can determine the conductivity in
an isotropic linear elliptic equation and by the Dirichlet-to-Neumann (DN
) map. With some mention of its applications in medical imaging and geophy
sics\, we will focus on the classical approach to solve the uniqueness pro
blem\, as well as discuss the case with nonlinear and anisotropic conducti
vities.
DTSTART;TZID=America/Los_Angeles:20240411T123000
DTEND;TZID=America/Los_Angeles:20240411T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:427
SUMMARY:: Calderón Problem with quasilinear anisotropic conductivity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-11/calderon-problem-quasilin
ear-anisotropic-conductivity
END:VEVENT
BEGIN:VEVENT
UID:14d82273-baef-4fe1-88f4-7a5d6cf6acb7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20230906T174428Z
DESCRIPTION:Speaker: Daniel Dugger\, University of Oregon\n\nConsider the c
onfiguration space of n distinct points in Euclidean space. The singular
cohomology is computed classically\, with the answer having interesting co
nnections to combinatorics and geometry. If G is a finite group\, one can
attempt the analogous computation for RO(G)-graded equivariant (Bredon) c
ohomology of configuration spaces of points in a G-representation. The cl
assical approach runs into trouble and one has to instead find a different
method. This talk will report on recent work with Christy Hazel on one s
uch method\, which has led to some success but not a complete resolution o
f the problem. We will also discuss some open questions about the cohomol
ogy of a point that are related to these issues.
DTSTART;TZID=America/Los_Angeles:20240411T153000
DTEND;TZID=America/Los_Angeles:20240411T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:428
SUMMARY:: Bredon cohomology of equivariant configuration spaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-11/bredon-cohomology-equivar
iant-configuration-spaces
END:VEVENT
BEGIN:VEVENT
UID:7a00eb94-4afc-40b1-b22d-477f626c4d09
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240409T015504Z
DESCRIPTION:Speaker: Tony Zeng\, University of Washington\n\nDesmos is an o
nline graphing calculator and a versatile tool for mathematical visualizat
ion. It has the standard graphing calculator features of defining variable
s and functions\, plotting points\, curves\, and polygons\, and much more.
It even includes features that allow for more sophisticated graphs such a
s physics simulators\, 3d rendering\, and cellular automata. In this talk\
, we will explore how these features allow for graphs which more heavily r
ely on direct user interaction in several fun applications.\nZoom Link: ht
tps://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240412T143000
DTEND;TZID=America/Los_Angeles:20240412T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:429
SUMMARY:: 1-2-3 Seminar: An Exploration of Math and Recreation
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-12/1-2-3-seminar-exploration
-math-and-recreation
END:VEVENT
BEGIN:VEVENT
UID:04f86088-19cc-461c-b99c-c268fdd01cf5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240409T233744Z
DESCRIPTION:Speaker: Jesse Michael Han\n\nLarge language models and their d
escendants are rapidly approaching human proficiency on a wide range of kn
owledge work tasks\, and in many cases have already exceeded it. I will re
view some recent progress on the field and examine their implications for
mathematical research. In particular\, I will make the case for the follow
ing claims: (1) mathematical research will soon become predominantly AI-as
sisted\, (2) frameworks for formalized mathematics like Lean will play a c
ritical role in making mathematical research legible to both humans and AI
reasoning systems at scale\, and (3) the future of mathematics has alread
y begun to arrive\, but is not evenly distributed.\nJesse Michael Han is t
he CEO and founder of Morph Labs\, which is developing infrastructure for
robust and scalable AI code generation. He was previously a senior researc
h scientist at OpenAI where he contributed to GPT-4 and automated theorem
proving for mathematical Olympiad problems. He received his PhD from the U
niversity of Pittsburgh under the supervision of Tom Hales in 2023 on the
applications of large language models to neural theorem proving.
DTSTART;TZID=America/Los_Angeles:20240415T130000
DTEND;TZID=America/Los_Angeles:20240415T142000
LAST-MODIFIED:20240822T184151Z
LOCATION:DEN 113
SEQUENCE:430
SUMMARY:: AI and the future of mathematics
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-15/ai-and-future-mathematics
END:VEVENT
BEGIN:VEVENT
UID:123b124a-3845-4c39-826a-bec43a2bb9d2
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240403T152439Z
DESCRIPTION:Speaker: Chengyuan Ma\n\nInvariants of Poisson Algebras\, Poiss
on Enveloping Algebras\, and Deformation Quantizations\nAdvisor: James Zha
ng
DTSTART;TZID=America/Los_Angeles:20240415T143000
LAST-MODIFIED:20240403T152439Z
LOCATION:CLK 316
SEQUENCE:431
SUMMARY:: Final exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-15/final-exam
END:VEVENT
BEGIN:VEVENT
UID:1132f454-0db4-4abe-b47a-48c34848bdf0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240326T064415Z
DESCRIPTION:Speaker: Tvrtko Tadic (Microsoft) \n\nRandom projections (RP) p
rovide a simple and elegant approach to perform dimensionality reduction.
In the context of large graphs\, they can be applied to generate low-dimen
sional encodings of a node’s connectivity to other nodes in the graph. In
this work\, we provide an in-depth analysis of the behavior of three popul
ar ways to measure relevance between the nodes estimated by Random Project
ions. We conclude that in two cases relevance estimation for high degree n
odes will often be a significant miss. Such fail modes are important in pr
actical applications\, since high degree nodes often exert high-influence
in the graph. We develop results for the specific use of random projection
in ranking\, and illustrate its consequences with a real graph dataset fr
om Wikipedia. This work builds on many experiments the Graph Intelligence
Sciences team at Microsoft did to compute relevance between entities (emai
l\, documents\, people\, events\, ...) in Office 365. Joint work with Cass
iano Becker.
DTSTART;TZID=America/Los_Angeles:20240415T143000
DTEND;TZID=America/Los_Angeles:20240415T152000
LAST-MODIFIED:20240326T065650Z
LOCATION:CLK 219
SEQUENCE:432
SUMMARY:: The Curse of Popularity: How High Degree Nodes in Graphs Distort
the Relevance Estimated by Gaussian Random Projection
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-15/curse-popularity-how-high
-degree-nodes-graphs-distort-relevance-estimated
END:VEVENT
BEGIN:VEVENT
UID:804d33f9-d292-44fe-9680-034372b64c8e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240409T204816Z
DESCRIPTION:Speaker: Brian Nugent\, University of Washington\n\nThe most fu
ndamental invariant of a curve in projective space is its degree. This is
the number of intersection points of the curve with a general hyperplane a
nd can be thought of roughly as “how many twists the curve has”. Given an
abstract curve $C$\, it is natural to ask for which $d$ and $r$ does $C$ a
dmit a degree $d$ map into $\mathbb{P}^r$. The Brill-Noether theorem gives
a complete answer to this question for a general curve as well as a parti
al answer for any curve. We will discuss the key ideas of the proof\, name
ly the reduction of the problem to studying a map of vector bundles on the
Picard scheme of $C$.
DTSTART;TZID=America/Los_Angeles:20240415T160000
DTEND;TZID=America/Los_Angeles:20240415T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU 228 (Please note the location)
SEQUENCE:433
SUMMARY:: Students' Algebraic Geometry Seminar : Brill-Noether theory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-15/students-algebraic-geomet
ry-seminar-brill-noether-theory
END:VEVENT
BEGIN:VEVENT
UID:fbd9daf3-d884-44ab-b748-3b37084374cb
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240409T235911Z
DESCRIPTION:Speaker: Tangli Ge\, Princeton University\n\nThe talk will be
about a generalization of the Ueno locus for subvarieties of abelian varie
ties\, the so-called anomalous locus\, which naturally appears in the sett
ing of unlikely intersections. In particular\, the anomalous locus is know
n to be Zariski closed by Rémond. I will show that there is a generalized
Ueno fibration. In the family setting\, I will explain the Zariski closedn
ess of fiber-wise anomalous locus in characteristic 0\, and of fiber-wise
Ueno locus in arbitrary characteristic.
DTSTART;TZID=America/Los_Angeles:20240416T110000
DTEND;TZID=America/Los_Angeles:20240416T115000
LAST-MODIFIED:20240409T235911Z
LOCATION:PDL C-401
SEQUENCE:434
SUMMARY:: Exceptional loci on abelian varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-16/exceptional-loci-abelian-
varieties
END:VEVENT
BEGIN:VEVENT
UID:2fb50bb6-b91a-4124-b4e9-b24d287eab06
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240402T013129Z
DESCRIPTION:Speaker: Pedra Andrade (Instituto Superior Técnico)\n\n\n\n\nIn
this presentation\, we will consider a class of minimization problems for
the first Dirichlet Laplacian eigenvalue with volume constraint for parti
tions of a given bounded domain. We will demonstrate the existence of an o
ptimal open partition by proving the local Lipschitz continuity of the ass
ociated eigenfunctions. Our proofs rely on a weak formulation entailing th
e minimization of a penalized functional\, where the variables are functio
ns rather than domains. We will employ appropriate deformations\, blowup t
echniques\, and a monotonicity formula to obtain our results.
DTSTART;TZID=America/Los_Angeles:20240416T133000
DTEND;TZID=America/Los_Angeles:20240416T153000
LAST-MODIFIED:20240412T192317Z
LOCATION:PDL C-401
SEQUENCE:435
SUMMARY:: Minimization problems for the first Dirichlet Laplacian eigenvalu
e with volume constraint
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-16/minimization-problems-fir
st-dirichlet-laplacian-eigenvalue-volume-constraint
END:VEVENT
BEGIN:VEVENT
UID:9f93c621-411b-4d1a-b73f-d2b48e39e1b5
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240413T150748Z
DESCRIPTION:Speaker: Caelan Ritter (UW)\n\n\n\nPre seminar: An introduction
to tropicalization\nWe will discuss various ways to go from the algebraic
world to the tropical world (and why one might want to do such a thing)\,
with an emphasis on degenerations of families of curves over non-archimed
ean valuation rings.\n \nSeminar: A graph invariant from tropical homology
and the Ceresa cycle\nThe Jacobian of a very general complex algebraic cu
rve of genus at least 3 contains an algebraic cycle called the Ceresa cycl
e that is homologically trivial but algebraically nontrivial. An analogou
s notion due to Zharkov exists in the tropical setting\, with a similar al
gebraic nontriviality statement for metric graphs overlying the complete g
raph on four vertices. We extend this result by considering a related\, '
universal' invariant of the underlying graph\; we show that triviality of
this invariant has a forbidden minor characterization that coincides with
the graph being of hyperelliptic type.
DTSTART;TZID=America/Los_Angeles:20240416T134500
LAST-MODIFIED:20240413T150817Z
LOCATION:PDL C-38
SEQUENCE:436
SUMMARY:: A graph invariant from tropical homology and the Ceresa cycle
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-16/graph-invariant-tropical-
homology-and-ceresa-cycle
END:VEVENT
BEGIN:VEVENT
UID:83f494cf-dcc3-4096-895c-3a01f4238478
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240403T152621Z
DESCRIPTION:Speaker: Ruirui Wu\n\nAdvisor: Gunther Uhlmann
DTSTART;TZID=America/Los_Angeles:20240416T150000
LAST-MODIFIED:20240403T152621Z
LOCATION:CLK 120
SEQUENCE:437
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-16/general-exam
END:VEVENT
BEGIN:VEVENT
UID:9381a7c6-524b-46cf-a16b-4df26b1706dd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240403T082313Z
DESCRIPTION:Speaker: Michael Tang\, University of Washington\n\nAbstract:\n
In characteristic zero\, the Hopf algebra of quasisymmetric functions QSym
is isomorphic to the shuffle algebra of compositions Sh\, and isomorphism
s between them can be specified via shuffle bases of QSym. We give charact
erizations of shuffle bases via the notions of characters and infinitesima
l characters\, and we establish a universal property for Sh that is analog
ous to the universal property of QSym as a combinatorial Hopf algebra desc
ribed by Aguiar\, Bergeron\, and Sottile. We use these results to give gen
eral constructions of quasisymmetric power sums\, a class of bases for QSy
m which are closely related to shuffle bases\, and prove properties of som
e larger families of quasisymmetric power sums. (This is joint work with R
icky Liu.)\nNote: This talk begins with a pre-seminar (aimed at graduate s
tudents) at 3:30–4:00. The main talk starts at 4:10.\nJoin Zoom Meeting: h
ttps://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240417T153000
DTEND;TZID=America/Los_Angeles:20240417T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:438
SUMMARY:: Shuffle bases and quasisymmetric power sums
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-17/shuffle-bases-and-quasisy
mmetric-power-sums
END:VEVENT
BEGIN:VEVENT
UID:6aa07d4b-80c6-41f8-b622-ffbb39a5c550
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240404T184838Z
DESCRIPTION:Speaker: Michael Tang\n\nAdvisor: Ricky Liu
DTSTART;TZID=America/Los_Angeles:20240417T160000
LAST-MODIFIED:20240404T184838Z
LOCATION:PDL C-401
SEQUENCE:439
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-17/general-exam
END:VEVENT
BEGIN:VEVENT
UID:ea700f9c-745a-42a4-b44a-f4b5885890db
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240402T184606Z
DESCRIPTION:Speaker: Kelvin Lam\n\nBoundary Rigidity and the Geodesic X-ray
transform in Low Regularity\nAdvisor: Gunther Uhlmann
DTSTART;TZID=America/Los_Angeles:20240418T140000
LAST-MODIFIED:20240402T184606Z
LOCATION:PDL C-38
SEQUENCE:440
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-18/final-exam
END:VEVENT
BEGIN:VEVENT
UID:29f3e475-45be-4ad7-9de2-e266504a9009
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240415T034856Z
DESCRIPTION:Speaker: Yang Yang\, Michigan State\n\nWe consider the acoustic
inverse boundary value problem of recovering a sound speed from near fiel
d data represented by the Neumann-to-Dirichlet map. We develop linearized
boundary control methods to analyze the stability and reconstruction. The
analysis leads to reconstructive algorithms that are numerically validated
. This is joint work with Lauri Oksanen (University of Helsinki) and Tiany
u Yang (Michigan State University).
DTSTART;TZID=America/Los_Angeles:20240418T160000
DTEND;TZID=America/Los_Angeles:20240418T170000
LAST-MODIFIED:20240415T190457Z
LOCATION:SMI 313
SEQUENCE:441
SUMMARY:: Computational Boundary Control Methods for Acoustic Inverse Bound
ary Value Problems
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-18/computational-boundary-co
ntrol-methods-acoustic-inverse-boundary-value-problems
END:VEVENT
BEGIN:VEVENT
UID:c1dee848-dbb5-4968-9b97-3c75e2987499
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220306T172421Z
DESCRIPTION:Speaker: Sara Billey\, Isabella Novik\, Alex Wang (and likely a
few more)\n\n\n\nThis event is about giving 1st year graduate students an
d members of the graduate committee a chance to meet and talk about the pr
ogram. We want to support you as you navigate through the whole phd progr
am\, particularly this first year. This year is about digging deeply in
to some core mathematics\, working hard on homework\, fine tuning your mat
hematical writing skills\, meeting new people\, and developing some connec
tions. Now that you have been here for a while\, we would like to check i
n and have a discussion about how it's going. We hope to talk about what
strategies are working for you\, share some tips for the next steps in yo
ur transition toward being a professional mathematician\, and answer quest
ions that have come up. We can also talk about the expectations for the
writing milestone and what steps you should be taking at some point this c
alendar year. Please join us for a group discussion with time for questio
ns and student input. Then\, all are invited to walk together to U. Vill
age for dinner paid for by the department. \n\n\nHosted by Sara Billey\,
Isabella Novik\, and Alex Wang
DTSTART;TZID=America/Los_Angeles:20240418T163000
DTEND;TZID=America/Los_Angeles:20240418T180000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38
SEQUENCE:442
SUMMARY:: Surviving and Thriving in the First Year of Grad School
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-18/surviving-and-thriving-fi
rst-year-grad-school
END:VEVENT
BEGIN:VEVENT
UID:4ea417b1-f898-4a7d-9791-61a337f19ccb
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240411T154059Z
DESCRIPTION:Speaker: Natasha Crepeau\n\nAdvisor: Farbod Shokrieh
DTSTART;TZID=America/Los_Angeles:20240419T110000
LAST-MODIFIED:20240411T154059Z
LOCATION:MEB 245
SEQUENCE:443
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-19/general-exam
END:VEVENT
BEGIN:VEVENT
UID:a0cd5366-8db5-471b-a1d8-dd5857d7ff4e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240416T174402Z
DESCRIPTION:Speaker: Tyson Klingner\, University of Washington\n\nEigenvalu
es are one of the most foundational concepts in Mathematics and are applic
able across the board. In this talk we will build up from eigenvalues asso
ciated to endomorphisms of vector spaces all the way to the generalised no
tion of an eigenvalue to a twisted endomorphism of vector bundles\, which
is called a spectral curve.\nZoom Link: https://washington.zoom.us/j/92849
568892
DTSTART;TZID=America/Los_Angeles:20240419T143000
DTEND;TZID=America/Los_Angeles:20240419T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:444
SUMMARY:: 1-2-3 Seminar: Eigenvalues and Much More
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-19/1-2-3-seminar-eigenvalues
-and-much-more
END:VEVENT
BEGIN:VEVENT
UID:6e888dbc-5272-42c8-a7e3-f11ff47a7e7f
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events
CLASS:PUBLIC
CREATED:20240327T233626Z
DESCRIPTION:Speaker: Cynthia Vinzant\n\n\n\nSuppose we lazily slice up a pi
zza. How many pieces can we make with just a few straight cuts? What if we
don't like crusts? What if we had a watermelon? Together we will try to a
nswer these questions and explore some of the beautiful geometry behind th
em.
DTSTART;TZID=America/Los_Angeles:20240421T130000
DTEND;TZID=America/Los_Angeles:20240421T140000
LAST-MODIFIED:20240327T233626Z
LOCATION:ARC 147
SEQUENCE:445
SUMMARY:: Slicing space
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-21/slicing-space
END:VEVENT
BEGIN:VEVENT
UID:14e34d6c-09ad-4ad8-8bf0-04c653a3345b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240409T193417Z
DESCRIPTION:Speaker: Erik Bates (North Carolina State University)\n\nDirect
ed polymers are a statistical mechanics model for random growth. Their pa
rtition functions collectively form a solution to a discrete stochastic he
at equation. This talk will discuss ratios of partition functions\, which
lead to solutions of a discrete stochastic Burgers equation. Of interest
is the success or failure of the “one force-one solution principle” for t
his equation. I will reframe this question in the language of polymers\,
and share some surprising results that follow. Based on joint work with L
ouis Fan and Timo Seppäläinen.
DTSTART;TZID=America/Los_Angeles:20240422T143000
DTEND;TZID=America/Los_Angeles:20240422T152000
LAST-MODIFIED:20240409T193643Z
LOCATION:CLK 219
SEQUENCE:446
SUMMARY:: The Busemann process of (1+1)-dimensional directed polymers
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-22/busemann-process-11-dimen
sional-directed-polymers
END:VEVENT
BEGIN:VEVENT
UID:887681b7-f67e-4118-8574-91d54e66c3ba
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240418T075635Z
DESCRIPTION:Speaker: Alex Wang\, University of Washington\n\nGiven an algeb
raic variety\, we can capture a snapshot of its arithmetic information via
its degree set\, roughly given by the collection of all degrees of field
extensions over which the variety has points. For a curve\, one can show t
hat over global and finite fields\, this collection contains all sufficien
tly large multiples of its GCD\, but over local fields\, the structure of
these degree sets can take on a different form. In this talk\, we'll discu
ss how this exceptional case can occur\, as a part of our results in the c
lassification of degree sets of superelliptic curves over Henselian fields
. This is joint work in progress with Alex Galarraga.
DTSTART;TZID=America/Los_Angeles:20240422T160000
DTEND;TZID=America/Los_Angeles:20240422T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU 228 (Note location)
SEQUENCE:447
SUMMARY:: Algebraic Geometry Student's Seminar : Realizable Degree Sets of
Superelliptic Curves over Henselian Fields
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-22/algebraic-geometry-studen
ts-seminar-realizable-degree-sets-superelliptic-curves
END:VEVENT
BEGIN:VEVENT
UID:8b324118-8ff2-40e0-8eb9-3695a4131694
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240416T202757Z
DESCRIPTION:Speaker: Julie Curtis\n\nAdvisor: Gaku Liu
DTSTART;TZID=America/Los_Angeles:20240424T160000
LAST-MODIFIED:20240416T202757Z
LOCATION:PDL C-401
SEQUENCE:448
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-24/general-exam
END:VEVENT
BEGIN:VEVENT
UID:16f0ef86-5269-4684-afdc-1bd186374126
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240410T192441Z
DESCRIPTION:Speaker: Julie Curtis\, University of Washington\n\nAbstract:\n
Tadao Oda conjectured that every smooth polytope\, in any dimension\, has
the Integer Decomposition Property. Beck et al. previously showed that smo
oth polytopes which are both 3-dimensional and centrally symmetric have th
is property. We show this result for different subclasses of polytopes: sm
ooth combinatorial cubes of any dimension and 3-dimensional pseudo-prisms.
\nNote: There will be no pre-seminar. The main talk starts at 4:10.\nJoin
Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID: 915 473
3 5974
DTSTART;TZID=America/Los_Angeles:20240424T161000
DTEND;TZID=America/Los_Angeles:20240424T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:449
SUMMARY:: Smooth Combinatorial Cubes are IDP
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-24/smooth-combinatorial-cube
s-are-idp
END:VEVENT
BEGIN:VEVENT
UID:4e9f1c89-edf5-42cd-b30a-a00828a2a554
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240424T025931Z
DESCRIPTION:Speaker: Linhang Huang\, University of Washington\n\nIn this ta
lk\, I will introduce the framework to glue together a pair of independent
continuum random trees (CRTs). This 'mating' of the two trees draws an im
portant connection between the space-filling Schramm–Loewner evolution (SL
E) and the Liouville quantum gravity (LQG). We will go through the definit
ion of these random trees as well as their associated random process—Brown
ian excursion. Using the techniques from Stochastic Calculus and Moore's t
heorem\, we will show that the gluing process almost surely produces a top
ological 2-sphere.
DTSTART;TZID=America/Los_Angeles:20240425T123000
DTEND;TZID=America/Los_Angeles:20240425T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:450
SUMMARY:: Topological Mating of CRTs & Geometry of Brownian Excursion
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-25/topological-mating-crts-g
eometry-brownian-excursion
END:VEVENT
BEGIN:VEVENT
UID:f001b7c9-5a1c-4a36-9a47-d39e8ca9dbc7
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions
CLASS:PUBLIC
CREATED:20240328T005011Z
DESCRIPTION:Speaker: Ken Chan\, Stephen Lewis Bianamara\, Harishchandra Ram
adas\, Jordan Weaver\, Ursula Whitcher\n\nIn a recent AMS Survey of New Do
ctorate Recipients\, 33 percent accept positions in government\, business
and industry. What are these jobs like? How do you find them? And\, are
they interesting jobs? To provide insight into these questions\, we will
hold our annual Industrial Panel Discussion featuring four UW alums from
the PhD program. The speakers will be Ken Chan\, Stephen Lewis Bianamara
\, Harishchandra Ramadas\, Jordan Weaver\, Ursula Whitcher. All are invi
ted to attend!\n\nHarish Ramadas graduated with a PhD in mathematics from
the University of Washington in 2017\, where his research focus was probab
ility and discrete optimization. He then spent a little over 3 years worki
ng as a data scientist at Palantir while based in Palo Alto\, CA\, where h
e worked closely with customers in diverse fields including cancer researc
h\, aerospace\, energy and public health. In 2020\, he joined the machine
learning team at GRAIL\, a biotech company in Menlo Park\, CA\, where he d
evelops models for detecting multiple types of cancer early using cell-fre
e DNA in blood plasma.\nUrsula Whitcher is an Associate Editor at Mathemat
ical Reviews (MathSciNet)\, a division of the American Mathematical Societ
y. In addition to editing math reviews in areas from algebraic geometry to
the history of mathematics\, Ursula is the editor of and a regular contri
butor to the AMS Feature Column. A past recipient of the Mathematical Asso
ciation of America's Merten Hasse prize for exposition\, Ursula volunteers
as an editor for the MAA's American Mathematical Monthly and the Associat
ion for Women in Math's journal La Matematica\, and has published poetry a
nd short fiction in venues including Analog\, Asimov's Science Fiction Mag
azine\, and the Lambda-Award-nominated anthology Rosalind's Siblings. Prio
r to joining the AMS in 2016\, Ursula received a PhD in algebraic geometry
from the University of Washington in 2009\, was a postdoc at Harvey Mudd
College\, and earned tenure from the University of Wisconsin-Eau Claire.
\nKenneth Chan is currently a Principal Data Scientist at Indeed\, where h
e builds and maintains tools for data analytics and machine learning opera
tions (MLOps). He earned his PhD at the University of New South Wales in A
ustralia\, and was a postdoc in mathematics at the University of Washingto
n. When he is not working on MLOps\, he makes time to continue research in
noncommutative algebra.\nJordan Weaver is a recent graduate\, having fini
shed her PhD at UW last year. As a student\, Jordan studied algebraic comb
inatorics with Sara Billey. During that time\, she also completed UW's dat
a science option and participated in two data science internships. For the
last year\, she has been a data scientist at Microsoft\, specifically wor
king on the ranker for Bing's image search results.\nStephen Bianamara (né
e Lewis) studied geometric measure theory under Prof. Toro\, graduating in
2014. After a brief stint as a post-doc at UMN\, Stephen moved back to Se
attle and joined Panopto\, a mid-stage startup focusing on educational Vid
eo Content Management. Stephen eventually built out and was the owner for
in-video search\, allowing students and teachers to search into the actual
contents of videos rather than just associated metadata\, and began build
ing out a fledgling AI product suite including automatically identifying a
nd labeling sections of the video ('Smart Chapters'). After Panopto sold\,
Stephen joined a pre-seed startup named EchoMark\, an AI based informatio
n security company. Though it's a bit of a cliché in the startup world\, S
tephen's work can best be described there as 'wearing many hats'\, where a
ny given day might include learning from customers what their needs are\,
tuning AI models\, designing robust and secure systems\, or discovering a
new combinatorial sequence (true!). Stephen is extremely grateful for his
PhD studies\, where he learned how to learn fast and independently\, handl
e complex projects and ambiguity\, and write technical explanations effici
ently but precisely.\n\nThis talk will be hosted by Sara Billey and Alex W
ang
DTSTART;TZID=America/Los_Angeles:20240425T163000
DTEND;TZID=America/Los_Angeles:20240425T180000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-38
SEQUENCE:451
SUMMARY:: Industrial Panel 2024
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-25/industrial-panel-2024
END:VEVENT
BEGIN:VEVENT
UID:c20e27e5-53ea-4e80-be24-1d0b6bbf962d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240422T224520Z
DESCRIPTION:Speaker: Tracy Chin\, University of Washington\n\nThis talk wil
l be a survey of a hierarchy of classes of real polynomials. Along the way
\, we'll investigate the underlying geometry and see some surprising conne
ctions to combinatorial objects. We'll start from real-rooted univariate p
olynomials\, then make our way through real stable polynomials to Lorentzi
an and log-concave polynomials\, building more evidence along the way that
all math is secretly linear algebra.\nZoom Link: https://washington.zoom.
us/j/92849568892Link to 1-2-3 website: https://sites.google.com/uw.edu/hni
ng/1-2-3-seminar-2024
DTSTART;TZID=America/Los_Angeles:20240426T143000
DTEND;TZID=America/Los_Angeles:20240426T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:452
SUMMARY:: 1-2-3 Seminar: Real Algebraic Geometry
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-26/1-2-3-seminar-real-algebr
aic-geometry
END:VEVENT
BEGIN:VEVENT
UID:ee14ab76-f566-4938-9371-61fb4c50d205
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240429T192408Z
DESCRIPTION:Speaker: Boya Liu\, North Carolina State University\n\nIn this
talk we discuss inverse problems of determining time-dependent coefficient
s appearing in the wave equation in a compact Riemannian manifold of dimen
sion three or higher. More specifically\, we are concerned with the case o
f conformally transversally anisotropic manifolds\, or in other words\, co
mpact Riemannian manifolds with boundary conformally embedded in a product
of the Euclidean line and a transversal manifold. With an additional assu
mption of the attenuated geodesic ray transform being injective on the tra
nsversal manifold\, we prove that the knowledge of a certain partial Cauch
y data set determines time-dependent coefficients of the wave equation uni
quely in a space-time cylinder. We shall discuss two problems: (1) Recover
y of a potential appearing in the wave equation\, when the Dirichlet and N
eumann values are measured on opposite parts of the lateral boundary of th
e space-time cylinder. (2) Recovery of both a damping coefficient and a po
tential appearing in the wave equation\, when the Dirichlet values are mea
sured on the whole lateral boundary and the Neumann data is collected on r
oughly half of the boundary. This talk is based on joint works with Teemu
Saksala (NC State University) and Lili Yan (University of Minnesota).
DTSTART;TZID=America/Los_Angeles:20240429T122500
DTEND;TZID=America/Los_Angeles:20240429T132500
LAST-MODIFIED:20240501T162717Z
LOCATION:PDL C-38
SEQUENCE:453
SUMMARY:: Recovery of time-dependent coefficients in hyperbolic equations o
n Riemannian manifolds from partial data
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-29/recovery-time-dependent-c
oefficients-hyperbolic-equations-riemannian-manifolds
END:VEVENT
BEGIN:VEVENT
UID:f0eff965-96d3-4174-86b8-5a14600b1720
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240417T035313Z
DESCRIPTION:Speaker: Hong Wang (University of South Carolina)\n\nThe classi
cal integer-order Fickian diffusion PDE was formulated based onassumptions
of particle movements characterized by mean free path and meanwaiting tim
e. These assumptions are valid for transport in homogeneous media\,where s
olute plumes were observed to display exponentially decaying tails.However
\, field tests have unveiled that transport in heterogeneous mediaexhibits
markedly nonlocal behavior\, featuring highly skewed power-lawdecaying ta
ils. Modeling such behavior using Fickian diffusion PDE across abroad para
meter range poses significant challenges.\nFractional diffusion PDE was de
veloped with the assumption that its solutionsmanifest power-law decaying
tails. This framework presents a competitiveapproach for modeling transpor
t in heterogeneous media. Nevertheless\,fractional PDEs introduce novel mo
deling\, computational\, and mathematicalchallenges distinct from those en
countered with integer-order PDEs.\nIn this session\, we will delve into t
he modeling and analysis\, addressing thecomplexities and challenges uniqu
e to this domain.
DTSTART;TZID=America/Los_Angeles:20240429T143000
DTEND;TZID=America/Los_Angeles:20240429T152000
LAST-MODIFIED:20240417T035313Z
LOCATION:CLK 219
SEQUENCE:454
SUMMARY:: Fractional PDEs for anomalously diffusive transport in porous med
ia
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-29/fractional-pdes-anomalous
ly-diffusive-transport-porous-media
END:VEVENT
BEGIN:VEVENT
UID:cfed6357-5604-4721-afac-9015fda764c0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240426T032219Z
DESCRIPTION:Speaker: Sándor Kovács\, University of Washington\n\nAn importa
nt part of higher dimensional geometry is the minimal model program. For s
urfaces\, this is classical\, going back to the famous 19th century Italia
n school of algebraic geometry. Early difficulties at generalizing the the
ory to higher (i.e.\, >2) dimensions first led people to believe that a hi
gher dimensional theory is not possible. It was realized by Reid and Mori
in the late 70s that a meaningful theory is in fact possible if one allows
mild singularities on their birational models. The 3-dimensional theory w
as developed in the 80s and the general theory about 20 years later.\nThe
starting point is a higher dimensional analogue of Castelnuovo's theorem o
n contractibility of (-1)-curves. In higher dimensions this leads to multi
ple possibilities and one of the possibilities seem to lead into a deadend
\, namely producing an image that has worse singularities than the origina
l theorem could possibly handle. In order to get around this obstacle\, an
other operation\, named a *flip* was invented which allows the process to
continue. \nI will try to explain how one gets to this point\, what a flip
is\, and how it solves the problem at hand. \nNote that the existence of
a flip is highly non-trivial. The proof of its existence earned Mori a Fie
lds Medal in 1990 for the 3-dimensional case and Hacon and McKernan a Brea
kthrough Prize in 2018 for the general case.
DTSTART;TZID=America/Los_Angeles:20240429T160000
DTEND;TZID=America/Los_Angeles:20240429T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU 228
SEQUENCE:455
SUMMARY:: Algebraic Geometry Student's Seminar : What is...a flip?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-29/algebraic-geometry-studen
ts-seminar-what-isa-flip
END:VEVENT
BEGIN:VEVENT
UID:f9e4f706-0b8c-482c-9e99-9982b15f0e90
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240429T173937Z
DESCRIPTION:Speaker: Renee Bell\, Lehman College\n\nIn their program on dio
phantine stability\, Mazur and Rubin suggest studying a curve $C$ over $\m
athbb{Q}$ by understanding the field extensions of generated by a single p
oint of $C$\; in particular\, they ask to what extent the set of such fiel
d extensions determines the curve. A natural question in arithmetic statis
tics along these lines concerns the size of this set: for a smooth project
ive curve $C$ how many field extensions of $\mathbb{Q}$ — of given degree
and bounded discriminant — arise from adjoining a point of $C$? Can we fur
ther count the number of such extensions with specified Galois group? Asym
ptotic lower bounds for these quantities have been found for elliptic curv
es by Lemke Oliver and Thorne\, for hyperelliptic curves by Keyes\, and fo
r superelliptic curves by Beneish and Keyes. We discuss similar asymptotic
lower bounds that hold for all smooth plane curves $C$\, using tools such
as geometry of numbers\, Hilbert irreducibility\, Newton polygons\, and l
inear optimization.
DTSTART;TZID=America/Los_Angeles:20240430T110000
DTEND;TZID=America/Los_Angeles:20240430T115000
LAST-MODIFIED:20240429T173937Z
LOCATION:PDL C-401
SEQUENCE:456
SUMMARY:: How do points on plane curves generate fields? Let me count the w
ays.
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-30/how-do-points-plane-curve
s-generate-fields-let-me-count-ways
END:VEVENT
BEGIN:VEVENT
UID:b0696a14-9908-451b-9df9-eaa8af4465ea
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240402T173227Z
DESCRIPTION:Speaker: Doug Lind (UW Seattle)\n\nLet f\, p\, and q be Laurent
polynomials in one or several variables with integer coefficients\, and s
uppose that f divides p + q. In joint work with Klaus Schmidt\, we establi
sh sufficient conditions to guarantee that f individually divides p and q.
These conditions involve a bound on coefficients\, a separation between t
he supports of p and q\, and\, surprisingly\, a requirement on f called at
orality about how the complex variety of f intersects the multiplicative u
nit torus. The proof uses a dynamical system related to f and the fundamen
tal dynamical notion of homoclinic point. Without the atorality assumption
this method fails\, the validity of our result in this case remains open
problem.
DTSTART;TZID=America/Los_Angeles:20240430T133000
DTEND;TZID=America/Los_Angeles:20240430T153000
LAST-MODIFIED:20240413T231501Z
LOCATION:PDL C-401
SEQUENCE:457
SUMMARY:: Divisibility of integer Laurent polynomials and dynamical systems
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-30/divisibility-integer-laur
ent-polynomials-and-dynamical-systems
END:VEVENT
BEGIN:VEVENT
UID:b0879255-7424-4782-840e-349c700b5f01
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240422T212658Z
DESCRIPTION:Speaker: Salem Selim\, UC Irvine\n\nIn this talk we discuss par
tial data inverse boundary problems for magnetic Schrödinger operators on
bounded domains in the Euclidean space as well as some Riemannian manifold
s with boundary. In particular\, we show that the knowledge of the set of
the Cauchy data on a portion of the boundary of a domain in the Euclidean
space of dimension $n\ge 3$ for the magnetic Schrödinger operator with a m
agnetic potential of class $W^{1\,n}\cap L^\infty$\, and an electric poten
tial of class $L^n$\, determines uniquely the magnetic field as well as th
e electric potential. Our result is an extension of global uniqueness resu
lts of Dos Santos Ferreira--Kenig--Sjöstrand--Uhlmann (2007) and Knudsen--
Salo (2007)\, to the case of less regular electromagnetic potentials. Our
approach is based on boundary Carleman estimates for the magnetic Schrödin
ger operator\, regularization arguments\, as well as the invertibility of
the geodesic X-ray transform. In this talk\, we will also show an extensio
n of our uniqueness result to non-admissible manifolds. This talk is based
on joint-work with Lili Yan.
DTSTART;TZID=America/Los_Angeles:20240430T160000
DTEND;TZID=America/Los_Angeles:20240430T170000
LAST-MODIFIED:20240501T162755Z
LOCATION:SMI 102
SEQUENCE:458
SUMMARY:: Partial data inverse problems for magnetic Schrödinger operators
with potentials of low regularity
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-04-30/partial-data-inverse-prob
lems-magnetic-schrodinger-operators-potentials-low
END:VEVENT
BEGIN:VEVENT
UID:10f793e5-1a0d-4d61-aa34-46383b78b826
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240410T192530Z
DESCRIPTION:Speaker: Arvind Ayyer\, Indian Institute of Science\n\nAbstract
:\nThe inhomogeneous multispecies PushTASEP is an interacting particle sys
tem with multiple species of particles on a finite ring where the hopping
rates are site-dependent. (The homogeneous variant on Z is also known as t
he Hammersley–Aldous–Diaconis process.) In its simplest variant with a sin
gle species\, a particle at a given site will hop to the first available s
ite clockwise. We show that the partition function of this process is inti
mately related to the classical Macdonald polynomial. We also show that la
rge families of observables satisfy the property of interchangeability\, n
amely they have the same distribution even in finite time when the hopping
rates are permuted. For some reason\, Schur polynomials seem to appear as
expectations in the stationary distribution of important observables. Thi
s is joint work with James Martin and Lauren Williams and based on the pre
prints arXiv:2310.09740 and arXiv:2403.10485.\nNote: This talk begins wit
h a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk s
tarts at 4:10.\nJoin Zoom Meeting: https://washington.zoom.us/j/9154733597
4Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240501T153000
DTEND;TZID=America/Los_Angeles:20240501T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:459
SUMMARY:: The inhomogeneous multispecies PushTASEP and Macdonald polynomial
s
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-01/inhomogeneous-multispecie
s-pushtasep-and-macdonald-polynomials
END:VEVENT
BEGIN:VEVENT
UID:3414fddb-b0b6-4682-aff7-b07f60dee469
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240429T202430Z
DESCRIPTION:Speaker: Ravil Mussabayev\n\n'How to Use K-means for Big Data C
lustering?'\nAdvisor: Gunther Uhlmann\nZoom Meeting Link
DTSTART;TZID=America/Los_Angeles:20240501T160000
LAST-MODIFIED:20240430T182523Z
LOCATION:Zoom
SEQUENCE:460
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-01/final-exam
END:VEVENT
BEGIN:VEVENT
UID:5182aedb-ddbc-4e1f-a32c-26a3bc0436bb
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240422T213253Z
DESCRIPTION:Speaker: Li Li\, UC Irvine\n\nWe consider wave equations of Wes
tervelt type arising from acoustic imaging. In our linear local model\, ou
r goal is to determine the metric up to an isometry from the knowledge of
the source-to-solution map\, and our approach relies on the Laplace transf
orm and the inverse spectral theory. In our nonlinear fractional model\, o
ur goal is to determine the coefficient of the nonlinearity from the knowl
edge of the source-to-solution map\, and our approach relies on the unique
continuation and the multiple-fold linearization. This is a joint work wi
th Dr. Yang Zhang.
DTSTART;TZID=America/Los_Angeles:20240502T113000
DTEND;TZID=America/Los_Angeles:20240502T122000
LAST-MODIFIED:20240501T162848Z
LOCATION:MEB 242
SEQUENCE:461
SUMMARY:: Inverse problems for the damped wave equations
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-02/inverse-problems-damped-w
ave-equations
END:VEVENT
BEGIN:VEVENT
UID:e464499f-c940-4dd2-ac4b-f998b0051a78
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240502T040813Z
DESCRIPTION:Speaker: Junaid Hasan\, University of Washington\n\nWe begin by
discussing the Wirtinger formula from classical complex geometry\, and it
s consequence on volumes of complex submanifolds. We then show that an an
alogous formula in the case of metric graphs and its Jacobian in combinati
on with Lagerberg's \$p\,q\$-forms yields a formula for volume of \$W_{d}\
$ the image of \$d\$-fold powers of the metric graph in its Jacobian.
DTSTART;TZID=America/Los_Angeles:20240502T123000
DTEND;TZID=America/Los_Angeles:20240502T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:462
SUMMARY:: Volumes on Tropical Jacobians
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-02/volumes-tropical-jacobian
s
END:VEVENT
BEGIN:VEVENT
UID:ad807c46-476b-4373-8ef5-cabd2eef6956
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240429T202917Z
DESCRIPTION:Speaker: Jessie Loucks-Tavitas\n\n'Hey! You got algebraic geome
try in my computer vision'\nAdvisor: Max Lieblich
DTSTART;TZID=America/Los_Angeles:20240503T094500
LAST-MODIFIED:20240429T203119Z
LOCATION:CMU 243
SEQUENCE:463
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-03/final-exam
END:VEVENT
BEGIN:VEVENT
UID:d34c2ee9-8bd0-49d9-ba41-8c67de8526bb
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240429T204415Z
DESCRIPTION:Speaker: Cameron Wright\, University of Washington\n\nIn this t
alk we examine some aspects of the modern theory of hyperplane arrangement
s\, a theory which stars an interesting interplay between combinatorics an
d topology. Over the course of the talk\, we will familiarize ourselves wi
th two main characters associated with any arrangement: the intersection p
oset and the complex complement. The former is a combinatorial object asso
ciated to the arrangement and the latter is an interesting topological spa
ce given by taking the complement of the arrangement in a complex vector s
pace. Over the reals\, the complement of an arrangement consists of finite
ly many contractible polyhedra\; over the complex numbers\, the complement
of an arrangement is connected in general and has nontrivial topology. We
shall see that several interesting topological invariants of the complex
complement are determined by combinatorial invariants associated to the ar
rangement.\nZoom Link: https://washington.zoom.us/j/92849568892Link to 1-2
-3 website: https://sites.google.com/uw.edu/hning/1-2-3-seminar-2024
DTSTART;TZID=America/Los_Angeles:20240503T143000
DTEND;TZID=America/Los_Angeles:20240503T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:464
SUMMARY:: 1-2-3 Seminar: Hyperplanes\, Posets\, and Cohomology\, Oh My!
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-03/1-2-3-seminar-hyperplanes
-posets-and-cohomology-oh-my
END:VEVENT
BEGIN:VEVENT
UID:dd92dcc8-fde3-4184-a3a8-60029cd6d439
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240417T211331Z
DESCRIPTION:Speaker: George Yin\, University of Connecticut\n\nNonlinear f
iltering is a fundamental problem in signal processing\, information theor
y\, communication\, control and optimization\, and systems theory. In th
e 1960s\, celebrated results on nonlinear filtering were obtained. Neverth
eless\, the computational issues for nonlinear filtering remained to be a
long-standing and challenging problem. In this talk\, in lieu of treating
the stochastic partial differential equations for obtaining the condition
al distribution or conditional measure\, we construct finite-dimensional
approximations using deep neural networks for the optimal weights. Two rec
ursions are used in the algorithm. One of them is the approximation of the
optimal weight and the other is for approximating the optimal learning ra
te. \nThis is a joint work with Hongjiang Qian (Cornell University) and Qi
ng Zhang (University of Georgia).
DTSTART;TZID=America/Los_Angeles:20240506T143000
DTEND;TZID=America/Los_Angeles:20240506T152000
LAST-MODIFIED:20240417T211331Z
LOCATION:CLK 219
SEQUENCE:465
SUMMARY:: Computational Nonlinear Filtering: A Deep Learning Approach
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-06/computational-nonlinear-f
iltering-deep-learning-approach
END:VEVENT
BEGIN:VEVENT
UID:5ac13fd1-d217-42a2-be0a-fb59cc6f226e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240502T055139Z
DESCRIPTION:Speaker: Lorenzo Bottiglione (University of Washington)\n\nNon-
archimedean dynamics is the study of the limiting behaviour of points\, me
asures and subsets under the iteration of an endomorphism of a non archime
dean analytic space. The most studied case is the iteration of rational fu
nctions (and in particular polynomials) mapping the projective line onto i
tself. I will explain the basics of this type of study and expose my work
on the question posed by Favre and Rivera-Letelier on whether periodic rep
elling points equidistribute to the canonical measure\, which is well know
n to happen in the complex case. We will see that the answer is positive\,
at least in the case of polynomials\, and that this type of problem is on
e of many instances where the Berkovich analytification proves fundamental
in providing a theory analogous to the complex case.
DTSTART;TZID=America/Los_Angeles:20240506T160000
DTEND;TZID=America/Los_Angeles:20240506T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU 228
SEQUENCE:466
SUMMARY:: Algebraic Geometry Student's Seminar - Equidistribution of repell
ing periodic points in non-archimedean dynamics
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-06/algebraic-geometry-studen
ts-seminar-equidistribution-repelling-periodic-points
END:VEVENT
BEGIN:VEVENT
UID:7d03005f-3690-4e3d-bd25-0791132ada81
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240402T012907Z
DESCRIPTION:Speaker: David Aulicino (Brooklyn College)\n\nWe consider gener
ic translation surfaces of genus g>0 with marked points and take covers br
anched over the marked points such that the monodromy of every element in
the fundamental group lies in a cyclic group of order d. Given a translati
on surface\, the number of cylinders with waist curve of length at most L
grows like L^2. By work of Veech and Eskin-Masur\, when normalizing the nu
mber of cylinders by L^2\, the limit as L goes to infinity exists and the
resulting number is called a Siegel-Veech constant. The same holds true if
we weight the cylinders by their area. Remarkably\, the Siegel-Veech cons
tant resulting from counting cylinders weighted by area is independent of
the number of branch points n. All necessary background will be given and
a connection to combinatorics will be presented. This is joint work with A
aron Calderon\, Carlos Matheus\, Nick Salter\, and Martin Schmoll.
DTSTART;TZID=America/Los_Angeles:20240507T133000
DTEND;TZID=America/Los_Angeles:20240507T153000
LAST-MODIFIED:20240501T042107Z
LOCATION:PDL C-401
SEQUENCE:467
SUMMARY:: Siegel-Veech Constants of Cyclic Covers of Generic Translation Su
rfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-07/siegel-veech-constants-cy
clic-covers-generic-translation-surfaces
END:VEVENT
BEGIN:VEVENT
UID:1c4f1c68-551d-4292-b8cf-f9afcf272293
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240429T202731Z
DESCRIPTION:Speaker: Haim Grebnev\n\n'The Non-Abelian X-Ray Transform on As
ymptotically Hyperbolic Spaces'\nAdvisor: Gunther Uhlmann
DTSTART;TZID=America/Los_Angeles:20240507T140000
LAST-MODIFIED:20240429T203142Z
LOCATION:LOW 201
SEQUENCE:468
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-07/final-exam
END:VEVENT
BEGIN:VEVENT
UID:9ca11bd6-a847-4933-8c6c-da30bbb4d2b6
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20231127T232057Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\n\n
ASE contract - Nelson Niu\n\n\nCommittee Reports\n\nUndergraduate Program
- Taggart\nGraduate Admissions - Koblitz\n\n\nNew Business\nExecutive Sess
ion\nAdjournment\n\n\n\nMINUTES\nThe regular meeting of the faculty of the
Department of Mathematics was held virtually via Zoom at 3:30pm PST\, May
7\, 2024. Max Lieblich\, Chair\, presided over the meeting. Rose Choi was
the recording secretary.\nThe meeting began with approval of the previous
meeting’s minutes.\nChair's Remarks\nAll grad students who requested fund
ing will be funded this summer.\nMerit raises are being discussed with the
Personnel Committee.\nThere will not be any tenure-track hiring next year
. Rather\, this period presents an opportunity for the department to do a
comprehensive review of all the programs and plan\, clarify\, and look tow
ards becoming the math department of the future rather than the department
of the past.\nThe safety of the department is paramount especially when d
iscussing things that are very emotionally charged such as the ASE contrac
t. Advocacy is a natural and important part of the process\; however\, the
re are state restrictions against using state resources for personal gain
or for the gain of a third party such as the UAW. Matters of this type sho
uld not be discussed through business emails\; rather they should be conta
ined to a general mailing list such as the department’s bboard or via mean
s of personal communication.\nAnnouncements\nMath grad student Nelson Niu
is an elected bargaining team member of the UW Academic Student Employee U
nion. He provided an overview of the current state of the ASE contract neg
otiations along with some details pertaining to the impending voter author
ized strike on May 14th. He also addressed common misconceptions regarding
strikes and provided a guideline for faculty on approved vs illegal inter
actions with union members.\nCommittee Reports\nThe Undergraduate Program
Committee brought the following items up for vote:\n\nAllow students in th
e Math BS option to double major with Statistics with no restrictions from
our department on course overlap.\nAdd Diversity credit to MATH 420: Hist
ory of Mathematics\, remove the note that it is only offered in Spring as
that is no longer correct\, and add the line “including discussion of the
multicultural origins and diversity of contributions to mathematics” to th
e catalog copy.\nInclude the following language on the department website
re: MATH 300: “Students may attempt MATH 300 (Introduction to Mathematical
Reasoning) no more than three times. Courses considered to have been atte
mpted include any with a numerical grade\; those with grades of I\, S/NS\,
or X\; and courses dropped resulting in an RD on the transcript.\n\nVotes
for all three proposals were held\, passed\, and approved.\nThe Graduate
Admissions Committee provided a report on the incoming class of 2024.\nADJ
OURNMENT\nThere being no new business\, the meeting passed into executive
session at 4:55pm.
DTSTART;TZID=America/Los_Angeles:20240507T153000
DTEND;TZID=America/Los_Angeles:20240507T163000
LAST-MODIFIED:20240529T235249Z
LOCATION:via Zoom
SEQUENCE:469
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-07/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:c2208838-78a2-4617-8ffc-3dd29d92f48a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240501T210546Z
DESCRIPTION:Speaker: Jian Zhai\, Fudan U.\, China \n\nWe propose a new algo
rithm for inverse spectral problems based on inversion of a sequence of tr
ace formulas. I will demonstrate how this algorithm works for a Sturm-Liou
ville operator and a damped wave operator.
DTSTART;TZID=America/Los_Angeles:20240508T160000
DTEND;TZID=America/Los_Angeles:20240508T170000
LAST-MODIFIED:20240501T210546Z
LOCATION:PDL C-38
SEQUENCE:470
SUMMARY:: Inversion of trace formulas for inverse spectral problems (Joint
with IP seminar)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-08/inversion-trace-formulas-
inverse-spectral-problems-joint-ip-seminar
END:VEVENT
BEGIN:VEVENT
UID:d94e4887-3e6e-44b2-a277-87ec6227ade1
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240506T194048Z
DESCRIPTION:Speaker: Alex Mason\n\n'h-vector Inequalities Under Weak Maps'
\nAdvisor: Gaku Liu
DTSTART;TZID=America/Los_Angeles:20240508T161000
LAST-MODIFIED:20240506T194048Z
LOCATION:PDL C-38
SEQUENCE:471
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-08/final-exam
END:VEVENT
BEGIN:VEVENT
UID:18e12ecf-b621-4077-9cb2-c09fa33d0415
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240410T192645Z
DESCRIPTION:Speaker: Alex Mason\, University of Washington\n\nAbstract:\nWe
study the behavior of \$h\$-vectors associated to matroid complexes under
weak maps\, or inclusions of matroid polytopes. Specifically\, we show th
at the \$h\$-vector of the order complex of the lattice of flats of a matr
oid is component-wise non-increasing under a weak map. This result extends
to the flag \$h\$-vector. We note that the analogous result also holds fo
r independence complexes and rank-preserving weak maps.\nNote: The main t
alk starts at 4:10. There will be no pre-seminar.\nJoin Zoom Meeting: http
s://washington.zoom.us/j/91547335974Meeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240508T161000
DTEND;TZID=America/Los_Angeles:20240508T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:472
SUMMARY:: h-vector Inequalities Under Weak Maps
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-08/h-vector-inequalities-und
er-weak-maps
END:VEVENT
BEGIN:VEVENT
UID:bb03b28b-a1d9-4553-98b2-a247ffeeb25f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240508T225127Z
DESCRIPTION:Speaker: Emily Casey\, University of Washington\n\nA longstandi
ng conjecture of Carleson stated that the tangent points of the boundaries
of certain planar domains can be characterized by the behavior of the Car
leson -function. This conjecture\, which was fully resolved by Jaye\, Tols
a\, and Villa in 2021\, established that having some Dini type control of
the Carleson -function implied the existence of tangents. A natural questi
on is whether quantitative control on this function implies better regular
ity results. In this talk\, we will present results that give a positive a
nswer to this question. This is ongoing work.
DTSTART;TZID=America/Los_Angeles:20240509T123000
DTEND;TZID=America/Los_Angeles:20240509T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:473
SUMMARY:: Quantitative control of the epsilon-function determines regularit
y
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-09/quantitative-control-epsi
lon-function-determines-regularity
END:VEVENT
BEGIN:VEVENT
UID:9e2cccad-9269-4e39-917e-a15245a25dd2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240429T191126Z
DESCRIPTION:Speaker: Boya Liu\, North Carolina State University\n\nIn this
talk we discuss inverse problems of determining time-dependent coefficient
s appearing in the wave equation in a compact Riemannian manifold of dimen
sion three or higher. More specifically\, we are concerned with the case o
f conformally transversally anisotropic manifolds\, or in other words\, co
mpact Riemannian manifolds with boundary conformally embedded in a product
of the Euclidean line and a transversal manifold. With an additional assu
mption of the attenuated geodesic ray transform being injective on the tra
nsversal manifold\, we prove that the knowledge of a certain partial Cauch
y data set determines time-dependent coefficients of the wave equation uni
quely in a space-time cylinder. We shall discuss two problems: (1) Recover
y of a potential appearing in the wave equation\, when the Dirichlet and N
eumann values are measured on opposite parts of the lateral boundary of th
e space-time cylinder. (2) Recovery of both a damping coefficient and a po
tential appearing in the wave equation\, when the Dirichlet values are mea
sured on the whole lateral boundary and the Neumann data is collected on r
oughly half of the boundary. This talk is based on joint works with Teemu
Saksala (NC State University) and Lili Yan (University of Minnesota).
DTSTART;TZID=America/Los_Angeles:20240509T133000
DTEND;TZID=America/Los_Angeles:20240509T142000
LAST-MODIFIED:20240501T163103Z
LOCATION:PDL C-38
SEQUENCE:474
SUMMARY:: Recovery of time-dependent coefficients in hyperbolic equations o
n Riemannian manifolds from partial data
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-09/recovery-time-dependent-c
oefficients-hyperbolic-equations-riemannian-manifolds
END:VEVENT
BEGIN:VEVENT
UID:3671fd0a-5210-45c4-a8cc-6908e9c05dd8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240326T023450Z
DESCRIPTION:Speaker: Chad Giusti\, Oregon State University\n\nThe most comm
on analysis pipeline in applied topology involves computing persistent hom
ology of some filtered simplicial complex derived from data\, then using t
he resulting persistence diagram as a feature for statistical or ML techni
ques. This is the default in part because it is very difficult to compare
persistence modules computed from different data sets directly. In an idea
l world\, we would try to approximate a function between the systems under
lying data sets and apply functoriality to build induced maps. However\, i
n many applications it is unreasonable to assume the existence of such fun
ctions. Even if we have full control over and knowledge of the state of on
e of the systems\, hidden variables and noise in the other will usually re
sult in a range of resulting behaviors and states in the other. Thus\, the
best we can hope for is to observe a relation between system states\, in
the guise of correlation or other cross-similarity. In this talk\, we desc
ribe a method for leveraging such observations to compare persistent homol
ogy classes between related persistence diagrams. This is joint work with
Iris Yoon and Robert Ghrist.
DTSTART;TZID=America/Los_Angeles:20240509T153000
DTEND;TZID=America/Los_Angeles:20240509T163000
LAST-MODIFIED:20240507T044258Z
LOCATION:PDL C-401
SEQUENCE:475
SUMMARY:: Building relations on persistence modules from data
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-09/building-relations-persis
tence-modules-data
END:VEVENT
BEGIN:VEVENT
UID:9174ec37-1cc5-4109-8171-83002705b1a9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240506T211452Z
DESCRIPTION:Speaker: Alex Waugh\, University of Washington\n\nIn a first co
urse in algebraic topology\, one is often introduced to the cup product as
a means of strengthening cohomology as an invariant. That is\, two spaces
may have the same cohomology groups\, but fail to have the same cohomolog
y rings (and are therefore not homotopy equivalent). One can ask if there
is a further refinement of cohomology which can be used to distinguish spa
ces which have the same cohomology rings\, but are not homotopy equivalent
. We will motivate such a refinement via examples leading to 'stable cohom
ology operations'. Finally\, we will use these operations to show that is
nontrivial.\nZoom Link: https://washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240510T143000
DTEND;TZID=America/Los_Angeles:20240510T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:476
SUMMARY:: 1-2-3 Seminar: What is a cohomology operation?
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-10/1-2-3-seminar-what-cohomo
logy-operation
END:VEVENT
BEGIN:VEVENT
UID:fb1d1191-8262-44f2-9710-7f0463141165
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20231227T201604Z
DESCRIPTION:Speaker: YanYan Li\, Rutgers University\n\nA harmonic function
of one variable is a linear function. A harmonic function of two variables
is the real or imaginary part of an analytic function. A harmonic functio
n of \$n\$ variables is a function \$u\$ satisfying\n\[\frac{\partial^{2}u
}{\partial x_{1}^{2}}+\cdots+\frac{\partial^{2}u}{\partial x_{n}^{2}}=0.\]
We will first recall some basic results on harmonic functions: the mean va
lue property\, the maximum principle\, the Liouville theorem\, the Harnack
inequality\, the Bocher theorem\, the capacity and removable singularitie
s. We will then present a number of more recent results on some conformall
y invariant elliptic and degenerate elliptic equations arising from confor
mal geometry. These include results on Liouville theorems\, Harnack inequa
lities\, and Bocher theorems.
DTSTART;TZID=America/Los_Angeles:20240510T153000
DTEND;TZID=America/Los_Angeles:20240510T163000
LAST-MODIFIED:20240501T165945Z
LOCATION:ECE 125
SEQUENCE:477
SUMMARY:: Harmonic Functions and Beyond
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-10/harmonic-functions-and-be
yond
END:VEVENT
BEGIN:VEVENT
UID:93b86863-6aa3-48af-90ae-6f03caebf7e2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240428T040723Z
DESCRIPTION:Speaker: Lucas Teyssier\, UBC\n\nDiaconis and Shahshahani used
Fourier analysis on groups (i.e. representation theory) when they proved
in 1981 that there is a cutoff for random transpositions. Their technique
has since then been very fruitful. In this talk we will introduce some ide
as about the representation theory of the symmetric group\, and explain ho
w it can be used to derive cutoff profiles. We will also discuss some diff
iculties that arise when considering more general conjugacy classes\, and
announce upcoming results in this direction.
DTSTART;TZID=America/Los_Angeles:20240513T143000
DTEND;TZID=America/Los_Angeles:20240513T152000
LAST-MODIFIED:20240428T040723Z
LOCATION:CLK 219
SEQUENCE:478
SUMMARY:: Cutoff profiles\, from transpositions to more general conjugacy c
lasses
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-13/cutoff-profiles-transposi
tions-more-general-conjugacy-classes
END:VEVENT
BEGIN:VEVENT
UID:8c26553e-63ce-4378-817b-10a2fd8ff12e
DTSTAMP:20241102T084548Z
CATEGORIES:Lectures\, Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240513T063318Z
DESCRIPTION:Speaker: Bianca Viray\, Emily Casey\, Suh Young Choi\, Be'eri G
reenfeld\, Kaitlynn Lilly\, Julie Curtis\, Sarafina Ford\, Grace O'Brien\,
Xiaowen Zhu\; University of Washington \n\n5-min lightning talks I (3 -
3:30 PM):\nEmily CaseyMeasuring FlatnessAbstract: In calculus\, we say tha
t the graph of a function is nice if at each point the function has a deri
vative. When is the boundary of a domain\, which is not necessarily the gr
aph of a function\, nice? We discuss two geometric functions that help us
determine when the boundary of a domain will have a tangent line.\nSuh You
ng ChoiA Brief Life of HypatiaAbstract: Hypatia is best known for being th
e first female mathematician from the ancient Mediterranean for whom we ha
ve a surviving record. She was one of the foremost mathematicians\, philos
ophers\, and educators of her time\, working and living in Alexandria at a
time when the scholarly reputation of the city was beginning to fade. Her
murder in 415 sent shockwaves through the intellectual and political comm
unities in Alexandria because of the prominent position she held as a lead
er of both scholarship and education. This talk gives an overview of her l
ife and circumstances\, her contributions to mathematics\, and her legacy.
\nBe'eri GreenfeldNoetherian Rings\, Lie Algebras and Noncommutative Geome
try: The Sierra-Walton TheoremAbstract: We give an overview of the Sierra-
Walton theorem on the non-Noetherianity of universal enveloping algebras o
f many infinite-dimensional Lie algebras. This breakthrough made a signifi
cant progress toward a wide open problem in noncommutative algebra\, and w
as achieved by a junction of ring theory\, (noncommutative) algebraic geom
etry and infinite-dimensional Lie theory.\nKaitlynn LillyA Numerical Riema
nn-Hilbert Approach to the Computation of Transform PairsAbstract: This re
search presents a unified methodology integrating spectral theory\, Rieman
n-Hilbert problems\, and inverse scattering theory to efficiently derive\,
and numerically implement\, transform pairs associated to time-evolution
variable-coefficient partial differential equations (PDEs). More specifica
lly\, the approach combines analytical formulae with iterative ODE and Rie
mann-Hilbert methods to efficiently evaluate the forward and inverse trans
forms\, giving a hybrid analytical-numerical method for such PDEs. The met
hod is demonstrated on transforms arising in the solution of the time-depe
ndent Schrӧdinger and Dirac equations\, producing an accurate and stable t
ime evolution method that does not require time stepping.\nPlenary talk fo
llowed by advice for early career mathematicians (3:30 - 4:30 PM):\nBianca
VirayThe Interplay Between Geometry and ArithmeticAbstract: In this talk\
, I will introduce some of the overarching questions in the study of ratio
nal points\, and how they motivate my current research. The talk will be a
ccessible to a general audience.\n5-min lightning talks II (4:30 - 5 PM):
\nJulie CurtisThe Integer Decomposition Property in Smooth Lattice Polytop
esAbstract: Polytopes are higher dimensional versions of polygons that liv
e in Euclidean space. We can combine two polytopes via their Minkowski sum
and examine the resulting polytope to determine if has what's called the
Integer Decomposition Property\, IDP. In this talk\, we define what it mea
ns for a polytope to have the IDP and under what conditions a polytope wil
l be IDP.\nSara FordLocally Gentle AlgebrasAbstract: A brief introduction
to the notions of path algebras with relations\, locally gentle algebras\,
and the kinds of questions that we want to answer about them.\nGrace O'Br
ienGraph TheoryAbstract: This talk will be a speed-run of the topics I've
been learning about this quarter including some basic definitions in spect
ral graph theory and a graph property called conformal rigidity.\nXiaowen
ZhuMathematical Aspects of Topological Insulators and Moire MaterialsAbstr
act: Topological insulators (TIs) are 2D materials that act as insulators
within their bulk while demonstrating robust states along their edges. One
anticipated key properties of TIs is the robustness of this characteristi
cs in relation to changes in the shape of their edges. This talk will expl
ore the influence of edge shape on the properties of TIs. Specifically\, w
e will offer a general\, intuitive condition for this property to hold\, a
long with a counterexample demonstrating its absence. Additionally\, we wi
ll present a quantitative version of this property with a potential physic
al interpretation. This talk is based on a joint work with Alexis Drouot.
\nFree food (After 5 PM)
DTSTART;TZID=America/Los_Angeles:20240513T153000
DTEND;TZID=America/Los_Angeles:20240513T180000
LAST-MODIFIED:20240822T184151Z
LOCATION:PAA A110
SEQUENCE:479
SUMMARY:: AWM event for Women in Math Day
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-13/awm-event-women-math-day
END:VEVENT
BEGIN:VEVENT
UID:24bbe180-f5f0-414f-8cc9-76dd5fb73ed8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240508T091544Z
DESCRIPTION:Speaker: Ting Gong\, University of Washington \n\nHow nice is t
he structure of a stack? How close is an algebraic stack to a quotient sta
ck? Surprisingly\, in 2001\, Edidin\, Hassett\, Kresh and Vistoli tied thi
s question to a classical question of Brauer groups\, the Br = Br' questio
n. They showed in their paper that a gerbe is a quotient stack if and only
if it comes from Azumaya algebras. In this talk\, I am going to survey th
eir work and talk about many inspirations the authors gave to the later wo
rks in the problem.
DTSTART;TZID=America/Los_Angeles:20240513T160000
DTEND;TZID=America/Los_Angeles:20240513T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU 228
SEQUENCE:480
SUMMARY:: Algebraic Geometry Student's Seminar : Brauer Groups and Quotient
Stacks
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-13/algebraic-geometry-studen
ts-seminar-brauer-groups-and-quotient-stacks
END:VEVENT
BEGIN:VEVENT
UID:0f6ba3cd-2d2e-42db-808a-5c3cd73dbb5c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240505T153510Z
DESCRIPTION:Speaker: Fanjun Meng (Johns Hopkins)\n\n\n\n\nTitle for Fanjun:
Wall crossing for moduli of stable pairs.\nAbstract: Hassett showed that
there are natural reduction morphisms between moduli spaces of weighted po
inted stable curves when we reduce weights. I will discuss some joint work
with Ziquan Zhuang which constructs similar morphisms between moduli of s
table pairs in higher dimensions.
DTSTART;TZID=America/Los_Angeles:20240514T133000
LAST-MODIFIED:20240514T020600Z
LOCATION:PDL C-38
SEQUENCE:481
SUMMARY:: Wall crossing for moduli of stable pairs.
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-14/wall-crossing-moduli-stab
le-pairs
END:VEVENT
BEGIN:VEVENT
UID:c1a6d4d2-d7fb-4ca7-808d-a5fe2ef0c5e8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240514T020707Z
DESCRIPTION:Speaker: Nathan Chen (Columbia)\n\n\n\n\nTitle: Curves on very
general hypersurfaces.\n\nAbstract: In this talk\, we will explore some co
njectures regarding the degrees of curves on very general hypersurfaces (a
nd complete intersections). Time permitting\, we will explain some applica
tions to measures of irrationality.
DTSTART;TZID=America/Los_Angeles:20240514T143000
LAST-MODIFIED:20240514T020739Z
LOCATION:PDL C-38
SEQUENCE:482
SUMMARY:: Curves on very general hypersurfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-14/curves-very-general-hyper
surfaces
END:VEVENT
BEGIN:VEVENT
UID:3151536a-969c-46b6-81b6-0f70f8356756
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240410T192808Z
DESCRIPTION:Speaker: Hailun Zheng\, University of Houston-Downtown\n\nAbstr
act:\n\nA \(d\)-polytope is called \((d-i)\)-simplicial if all of its \((d
-i)\)-faces are simplices. It is \(i\)-simple if every \((d-i-1)\)-face be
longs to exactly \(i+1\) facets. A few low-dimensional examples of \((d-i)
\)-simplicial \(i\)-simple polytopes arising from regular polytopes are kn
own. For \(d>3\)\, a \(d\)-dimensional demicube and its dual are \(3\)-sim
plicial \((d-3)\)-simple and \((d-3)\)-simplicial \(3\)-simple\, respectiv
ely. In addition to these finitely many examples\, Paffenholz and Ziegler
proved the existence of infinite families of \((d-2)\)-simplicial \(2\)-si
mple \(d\)-polytopes for all \(d>3\). However\, for general \(i>4\) and \(
d >2i-1\)\, it is not known whether non-simplex \((d-i)\)-simplicial \(i\)
-simple \(d\)-polytopes exist.\n\nGiven two \(d\)-polytopes \(P\) and \(Q\
)\, where \(P\) has a simplex facet \(F\) and \(Q\) has a simple vertex\,
we define an operation called the merge of \(P\) and \(Q\) along \(F\) and
\(v\). We show that if for some \(0 < i < d\)\, both \(P\) and \(Q\) are
\((d-i)\)-simplicial \(i\)-simple\, then the merge of \(P\) and \(Q\) is a
lso \((d-i)\)-simplicial \(i\)-simple. We then use this operation to const
ruct infinite families of \(i\)-simplicial \(i\)-simple \(2i\)-polytopes f
or all \(i<5\). Furthermore\, infinitely many of these polytopes have anot
her nice property: they are self-dual.\n\nJoint work with Isabella Novik.
\n\nNote: This talk begins with a pre-seminar (aimed at graduate students)
at 3:30–4:00. The main talk starts at 4:10.\n\nJoin Zoom Meeting: https:/
/washington.zoom.us/j/91547335974\nMeeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240515T153000
DTEND;TZID=America/Los_Angeles:20240515T170000
LAST-MODIFIED:20241004T180752Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:483
SUMMARY:: The merging operation and d i simplicial i simple d polytopes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-15/merging-operation-and-d-i
-simplicial-i-simple-d-polytopes
X-ALT-DESC;FMTTYPE=TEXT/HTML:Speaker: Hailun Zheng\, University of Houston-
Downtown Abstract: A \(d\)-polytope is called \((d-i)\)-simplicial if all
of its \((d-i)\)-faces are simplices. It is \(i\)-simple if every \((d-i-1
)\)-face belongs to exactly \(i+1\) facets. A few low-dimensional examples
of \((d-i)\)-simplicial \(i\)-simple polytopes arising from regular polyt
opes are known. For \(d>3\)\, a \(d\)-dimensional demicube and its dual ar
e \(3\)-simplicial \((d-3)\)-simple and \((d-3)\)-simplicial \(3\)-simple\
, respectively. In addition to these finitely many examples\, Paffenholz a
nd Ziegler proved the existence of infinite families of \((d-2)\)-simplici
al \(2\)-simple \(d\)-polytopes for all \(d>3\). However\, for general \(i
>4\) and \(d >2i-1\)\, it is not known whether non-simplex \((d-i)\)-simpl
icial \(i\)-simple \(d\)-polytopes exist. Given two \(d\)-polytopes \(P\)
and \(Q\)\, where \(P\) has a simplex facet \(F\) and \(Q\) has a simple v
ertex\, we define an operation called the merge of \(P\) and \(Q\) along \
(F\) and \(v\). We show that if for some \(0 < i < d\)\, both \(P\) and \(
Q\) are \((d-i)\)-simplicial \(i\)-simple\, then the merge of \(P\) and \(
Q\) is also \((d-i)\)-simplicial \(i\)-simple. We then use this operation
to construct infinite families of \(i\)-simplicial \(i\)-simple \(2i\)-pol
ytopes for all \(i<5\). Furthermore\, infinitely many of these polytopes h
ave another nice property: they are self-dual. Joint work with Isabella No
vik. Note: This talk begins with a pre-seminar (aimed at graduate students
) at 3:30–4:00. The main talk starts at 4:10. Join Zoom Meeting: https://w
ashington.zoom.us/j/91547335974 Meeting ID: 915 4733 5974
END:VEVENT
BEGIN:VEVENT
UID:703a0498-1ce1-445f-8da7-0627e8d4d6ca
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240516T041244Z
DESCRIPTION:Speaker: Kuan-Ting Yeh\, University of Washington\n\nThe symmet
rization method is a captivating tool for handling isoperimetric-type ineq
ualities\, with numerous applications across various fields. In this talk\
, we provide an overview of topics pertaining to isoperimetric-type inequa
lities and symmetrizations\, focusing on the perspective of geometric meas
ure theory. We demonstrate inequalities associated with symmetrizations an
d highlight that within a broad class of measures\, the isotropic Gaussian
measure is the sole measure that satisfies the perimeter-decreasing prope
rty.
DTSTART;TZID=America/Los_Angeles:20240516T123000
DTEND;TZID=America/Los_Angeles:20240516T132000
LAST-MODIFIED:20240516T041244Z
LOCATION:PDL C-401
SEQUENCE:484
SUMMARY:: The Anisotropic Gaussian Isoperimetric Inequality and Ehrhard Sy
mmetrization
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-16/anisotropic-gaussian-isop
erimetric-inequality-and-ehrhard-symmetrization
END:VEVENT
BEGIN:VEVENT
UID:224a80a8-0642-4dc8-9c63-c6046e9568df
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240510T200030Z
DESCRIPTION:Speaker: Ting Gong\, University of Washington\n\nIn this talk\,
I am going to introduce and give intuitions about many geometric objects
via examples. We are going to start with schemes\, step towards algebraic
spaces\, and finally talk about stacks and 'gerbes' via the many variation
s of the example of a bug eyed line. \nZoom Link: https://washington.zoom.
us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240517T143000
DTEND;TZID=America/Los_Angeles:20240517T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:485
SUMMARY:: 1-2-3 Seminar: Stacking bug eyes
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-17/1-2-3-seminar-stacking-bu
g-eyes
END:VEVENT
BEGIN:VEVENT
UID:4c35cbca-a889-4f71-ab13-b66a07bbe93b
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20240325T205643Z
DESCRIPTION:Speaker: Gunther Uhlmann\, University of Washington\n\nWe will
consider the inverse problem of determining the sound speed or index of re
fraction of a medium by measuring the travel times of waves going through
the medium. This problem arises in global seismology in an attempt to dete
rmine the inner structure of the Earth by measuring travel times of earthq
uakes. It also has several applications in optics and medical imaging amon
g others.\nThe problem can be recast as a geometric problem: Can one deter
mine the Riemannian metric of a Riemannian manifold with boundary by measu
ring the distance function between boundary points? This is the boundary r
igidity problem. We will survey some of the known results about this probl
em.\nNo previous knowledge of differential geometry will be assumed.
DTSTART;TZID=America/Los_Angeles:20240517T153000
DTEND;TZID=America/Los_Angeles:20240517T163000
LAST-MODIFIED:20240822T184151Z
LOCATION:ECE 125
SEQUENCE:486
SUMMARY:: Journey to the Center of the Earth
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-17/journey-center-earth
END:VEVENT
BEGIN:VEVENT
UID:73cfd481-da97-44c5-ad3d-5eee1ec0002e
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events
CLASS:PUBLIC
CREATED:20240513T185514Z
DESCRIPTION:Speaker: Stefan Steinerberger\n\nWhy so many things in nature a
re round? What is a boundary of a surface? Do round things tend to have sm
aller boundaries? Can we always determine what a boundary is? We’ll start
our story with the adventures of Queen Dido in the ancient kingdom of Cart
hage and continue with crazier and crazier examples which bewilder scienti
sts up to this day.
DTSTART;TZID=America/Los_Angeles:20240519T130000
DTEND;TZID=America/Los_Angeles:20240519T140000
LAST-MODIFIED:20240513T185514Z
LOCATION:ARC 147
SEQUENCE:487
SUMMARY:: SMALL BOUNDARIES AND CIRCULAR REASONING
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-19/small-boundaries-and-circ
ular-reasoning
END:VEVENT
BEGIN:VEVENT
UID:bb190ee9-ffb9-495a-ab61-7882f3d1b35d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240517T190102Z
DESCRIPTION:Speaker: Herman Chau\, University of Washington\n\n In this tal
k\, we will walk through how to formalize some examples from Herbert Wilf'
s 'generatingfunctionology'. We'll see how to define and work with power s
eries in Lean\, and work our way towards proving the closed form formula f
or the Fibonacci numbers. Along the way\, we will discuss ways to structur
e Lean code to be readable from a mathematician's point of view.
DTSTART;TZID=America/Los_Angeles:20240520T130000
DTEND;TZID=America/Los_Angeles:20240520T142000
LAST-MODIFIED:20240822T184151Z
LOCATION:Denny Hall (DEN)\, 113
SEQUENCE:488
SUMMARY:: Generating Functions in Lean
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-20/generating-functions-lean
END:VEVENT
BEGIN:VEVENT
UID:b55cc585-b69a-4e1e-839a-54809066006d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240507T222855Z
DESCRIPTION:Speaker: Jinniao Qiu\, University of Calgary \n\nFully nonlinea
r stochastic Hamilton-Jacobi-Bellman (HJB) equations will be discussed for
the optimal stochastic control problem of stochastic differential equatio
ns with random coefficients. The notion of viscosity solution is introduce
d\, and the value function of the optimal stochastic control problem is th
e unique viscosity solution to the associated stochastic HJB equation. App
lications and some recent developments will be reported as well.
DTSTART;TZID=America/Los_Angeles:20240520T143000
DTEND;TZID=America/Los_Angeles:20240520T152000
LAST-MODIFIED:20240507T222855Z
LOCATION:CLK 219
SEQUENCE:489
SUMMARY:: Viscosity Solutions of Stochastic Hamilton-Jacobi-Bellman Equatio
ns
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-20/viscosity-solutions-stoch
astic-hamilton-jacobi-bellman-equations
END:VEVENT
BEGIN:VEVENT
UID:3a01365a-c453-4ba0-96bb-d81361d0a23d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240516T091043Z
DESCRIPTION:Speaker: Arkamouli Debnath\, University of Washington \n\nUnlik
e point-set topology\, taking quotients in Algebraic Geometry is not so si
mple. Finding the correct formulation of taking quotients in Algebraic Geo
metry (aka Geometric Invariant Theory or GIT) has led to a lot of importan
t research\, some of which include the construction of several moduli spac
es (such as moduli space of vector bundles on a curve\, or moduli of genus
g smooth curves etc) and the more recent development of variation of GIT
and its link to birational geometry. In this talk I will try to give a bri
ef exposition of this theory with some applications.
DTSTART;TZID=America/Los_Angeles:20240520T160000
DTEND;TZID=America/Los_Angeles:20240520T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:CMU 228
SEQUENCE:490
SUMMARY:: Algebraic Geometry Student's Seminar - How to take quotients in A
lgebraic Geometry? (aka Geometric Invariant Theory)
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-20/algebraic-geometry-studen
ts-seminar-how-take-quotients-algebraic-geometry-aka
END:VEVENT
BEGIN:VEVENT
UID:6c08e2e9-1919-49f9-aa77-b6be3178e7d0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240205T231049Z
DESCRIPTION:Speaker: Krystal Taylor (OSU)\n\nA vibrant and classic area of
research is that of relating the size of a set to the finite point configu
rations that it contains. This includes chains\, trees\, graphs with loop
s\, as well as arithmetic progressions. In the fractal setting\, size may
refer to dimension or measure. In this talk\, we will consider two notion
s of size- Hausdorff dimension and Newhouse thickness- that can be used to
guarantee the existence of arbitrarily long paths within fractal subsets
of Euclidean space. We also consider some preliminary results for arithme
tic progressions occurring within fractal sets. (This talk is based on jo
int works with Alex Mcdonald and Samantha Sandberg).
DTSTART;TZID=America/Los_Angeles:20240521T133000
DTEND;TZID=America/Los_Angeles:20240521T153000
LAST-MODIFIED:20240516T175221Z
LOCATION:PDL C-401
SEQUENCE:491
SUMMARY:: Finding Patterns and Arithmetic Progressions in Fractal Sets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-21/finding-patterns-and-arit
hmetic-progressions-fractal-sets
END:VEVENT
BEGIN:VEVENT
UID:8bbd3180-7368-4092-84fe-03fb2d45d892
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240520T182626Z
DESCRIPTION:Speaker: Aaron Landesman (Harvard/MIT)\n\n\n\n\nTitle: The Koda
ira-Parshin TrickAbstract:In the main seminar talk\, given genera g and h\
, I will discuss whether thereexists a surface S mapping to a general curv
e of genus g with smooth and properfibers of genus h\, not all of whose fi
bers are isomorphic.A natural question is whether such an S ever exists fo
r any values of g and h.We will describe the classical Kodaira-Parshin tri
ck\, which allows one toconstruct such surfaces when h is much larger than
g.\n\nTitle: Geometric local systems on very general curvesAbstract:What
is the smallest genus h of a non-isotrivial curve over the generic genus g
curve?In joint work with Daniel Litt\, we show h is more than $\sqrt{g}$
by proving amore general result about variations of Hodge structure on suf
ficiently general curves.As a consequence\, we show that local systems on
a sufficiently general curve of geometric origin are not Zariski dense in
the character varietyparameterizing such local systems. This gives counter
examples to conjectures of Esnault-Kerz and Budur-Wang.
DTSTART;TZID=America/Los_Angeles:20240521T133000
LAST-MODIFIED:20240520T194214Z
LOCATION:PDL C-38
SEQUENCE:492
SUMMARY:: Geometric local systems on very general curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-21/geometric-local-systems-v
ery-general-curves
END:VEVENT
BEGIN:VEVENT
UID:9405c01d-725f-40da-9849-26ac585c88d6
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240509T155737Z
DESCRIPTION:Speaker: Cody Tipton\n\n'n-Lie Algebras\, Koszul Dual\, and You
ng Tableaux'\nAdvisor: James Zhang
DTSTART;TZID=America/Los_Angeles:20240521T153000
LAST-MODIFIED:20240509T155737Z
LOCATION:THO 325
SEQUENCE:493
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-21/final-exam
END:VEVENT
BEGIN:VEVENT
UID:3ecf915b-d43d-425e-b347-269f3bcefcf1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240410T192835Z
DESCRIPTION:Speaker: Kevin Liu\, University of Washington\n\nAbstract:\nIn
this talk\, we consider colored permutation groups \$\mathbb{Z}_m\wr S_n\$
\, which contain the symmetric groups \$S_n\cong \mathbb{Z}_1 \wr S_n\$ an
d the signed symmetric groups \$B_n\cong \mathbb{Z}_2\wr S_n\$ as special
cases. Like in \$S_n\$\, colored permutations in \$\mathbb{Z}_m\wr S_n\$ h
ave a notion of cycle type that classifies its conjugacy classes. We explo
re the distributions and moments of statistics on \$\mathbb{Z}_m\wr S_n\$
when refined by cycle type\, with particular emphasis on the descent and f
lag-major index statistics when there are no 'short' cycles. This talk is
based on joint works with Jesse Campion Loth\, Michael Levet\, Sheila Sund
aram\, and Mei Yin.\nNote (special time): This talk begins with a pre-semi
nar (aimed at graduate students) at 3:30–3:50. The main talk starts at 4:0
0.\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID:
915 4733 5974
DTSTART;TZID=America/Los_Angeles:20240522T153000
DTEND;TZID=America/Los_Angeles:20240522T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:494
SUMMARY:: Colorful Permutation Statistics and Cycle Type
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-22/colorful-permutation-stat
istics-and-cycle-type
END:VEVENT
BEGIN:VEVENT
UID:4cc58ac3-4000-400c-ae68-ece2c184f2f0
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240509T160102Z
DESCRIPTION:Speaker: Kevin Liu\n\n'Combinatorial and Probabilistic Approach
es to Planar Tanglegrams\, Colorful Permutations\, and Cosine Functions'\n
Advisor: Sara Billey
DTSTART;TZID=America/Los_Angeles:20240522T160000
LAST-MODIFIED:20240509T160102Z
LOCATION:PDL C-401
SEQUENCE:495
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-22/final-exam
END:VEVENT
BEGIN:VEVENT
UID:d323a46d-0cb9-480f-965b-04e63661fcc2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240402T195025Z
DESCRIPTION:: TBA\n\nPDL C-401\nSeminars\nhttps://math.washington.edu/event
s/2024-05-22/tba
DTSTART;TZID=America/Los_Angeles:20240522T160000
DTEND;TZID=America/Los_Angeles:20240522T170000
LAST-MODIFIED:20240410T174210Z
LOCATION:PDL C-401
SEQUENCE:496
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-22/tba
END:VEVENT
BEGIN:VEVENT
UID:f910a29c-47f1-4d74-adc4-b15d51bcefd1
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240130T220328Z
DESCRIPTION:Speaker: Francisco Andres Arana Herrera\, U. of Maryland\n\nThe
ergodic properties of rational billiards\, i.e.\, billiards on a table wh
ose angles are rational multiples of pi\, have been a subject of intense s
tudy in dynamical systems. A famous result of Kerckhoff\, Masur\, and Smil
lie shows that rational billiards are uniquely ergodic in almost every dir
ection. A famous result of Katok shows that rational billiards are not mix
ing in any direction. What about the intermediate regime of weak mixing\,
i.e.\, mixing modulo a negligible set of exceptions? In this talk we show
that rational billiards are weak mixing in almost every direction unless a
natural algebraic/geometric obstruction is present. Furthermore\, this ob
struction vanishes in 'most' cases. This is joint work in progress with Jo
n Chaika and Giovanni Forni.
DTSTART;TZID=America/Los_Angeles:20240522T163000
DTEND;TZID=America/Los_Angeles:20240522T173000
LAST-MODIFIED:20240515T052117Z
LOCATION:PDL C-38
SEQUENCE:497
SUMMARY:: Ergodic properties of rational billiards
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-22/ergodic-properties-ration
al-billiards
END:VEVENT
BEGIN:VEVENT
UID:7bf68826-df11-4a12-9fa5-9e6c64564771
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20240523T053013Z
DESCRIPTION:Speaker: Lorenzo Bottiglione\, University of Washington\n\nNon-
archimedean dynamics is the study of the limiting behaviour of points\, me
asures and subsets under the iteration of an endomorphism of a non archime
dean analytic space. The most studied case is the iteration of rational fu
nctions (and in particular polynomials) mapping the projective line onto i
tself. I will explain the basics of this type of study and talk about some
work I have done on the question posed by Favre and Rivera-Letelier on wh
ether periodic repelling points equidistribute to the canonical measure\,
which is well known to happen in the complex case. We will see that at lea
st in the case of polynomials we can answer positively.
DTSTART;TZID=America/Los_Angeles:20240523T123000
DTEND;TZID=America/Los_Angeles:20240523T132000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:498
SUMMARY:: Equidistribution of repelling periodic points in non-archimedean
dynamics
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-23/equidistribution-repellin
g-periodic-points-non-archimedean-dynamics
END:VEVENT
BEGIN:VEVENT
UID:c603d361-f820-43e6-8d37-7a3cadc74380
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240518T000502Z
DESCRIPTION:Speaker: Toni Annala\, IAS\n\nIn topology\, Atiyah duality prov
ides a geometric model for the dual of the suspension spectrum of a smooth
manifold. In this talk\, we export this into algebraic geometry by provin
g an analogous claim in the non-A^1-invariant stable motivic homotopy theo
ry of Annala-Hoyois-Iwasa. Besides recovering many Poincaré duality type r
esults\, it has other surprising consequences to fundamental objects in al
gebraic geometry. I will explain how to use the so-called A^1-colocalizati
on functor to prove the independence of logarithmic de Rham cohomology fro
m the choice of good compactification in positive characteristic (without
assuming resolution of singularities).
DTSTART;TZID=America/Los_Angeles:20240523T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:499
SUMMARY:: Atiyah duality and applications
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-23/atiyah-duality-and-applic
ations
END:VEVENT
BEGIN:VEVENT
UID:f918e983-316e-4156-bae5-d58b5c51e5e7
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240509T155903Z
DESCRIPTION:Speaker: Kuan-Ting Yeh\n\n'The Anisotropic Gaussian Isoperimetr
ic Inequality and Ehrhard Symmetrization'\nAdvisor: Tatiana Toro
DTSTART;TZID=America/Los_Angeles:20240524T100000
LAST-MODIFIED:20240509T155903Z
LOCATION:LOW 202
SEQUENCE:500
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-24/final-exam
END:VEVENT
BEGIN:VEVENT
UID:3a194bc4-38a7-4ce9-825d-6c0bb7e1bc30
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240520T230939Z
DESCRIPTION:Speaker: Junaid Hasan\, University of Washington\n\n In this ta
lk we will begin by introducing the classical notion of curvature on Riema
nnian manifolds and then transition to surveying several recent analogs of
curvatures on simplicial complexes and graphs some of which have found ap
plications in network analysis and community detection.\nZoom Link: https:
//washington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240524T143000
DTEND;TZID=America/Los_Angeles:20240524T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:501
SUMMARY:: 1-2-3 Seminar: Discrete Curvatures
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-24/1-2-3-seminar-discrete-cu
rvatures
END:VEVENT
BEGIN:VEVENT
UID:ceb9ec8c-978d-42d9-bc72-d6fda5695a2f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20220525T212647Z
DESCRIPTION:Speaker: Full list coming in May\n\nAbstract: This is a two
part program. First\, everyone graduating with their PhD has been invite
d to give a short presentation of their thesis topic. Second\, everyone
has also been invited to give back some advice to their fellow students on
how to survive and thrive in the phd program. Feel free to come to eit
her or both parts as your schedule permits. Talks in C-38\, cookies in
the lounge 15 minutes before hand.\n3:30 - 4:20. 3-min Talks by students
\n4:30-5:30. 'Things I wish I had known: advice from graduating students.
' in a panel format\n \nAll are welcome to attend! \nThis talk will be
hosted by Sara Billey and Cynthia Vinzant.
DTSTART;TZID=America/Los_Angeles:20240524T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:Padelford C-38 and also on zoom at https://washington.zoom.us/j/94
529585563
SEQUENCE:502
SUMMARY:: '3-minute Thesis Talks' and 'Things I wish I had known: advice fr
om graduating students.'
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-24/3-minute-thesis-talks-and
-things-i-wish-i-had-known-advice-graduating-students
END:VEVENT
BEGIN:VEVENT
UID:9788af3a-06f0-4807-b665-182dc8e3e376
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240520T190833Z
DESCRIPTION:Speaker: Thomas Carr\n\n'Quadratic Points on Intersections of T
wo Quadrics over Local Fields'\nAdvisor: Bianca Viray
DTSTART;TZID=America/Los_Angeles:20240528T133000
LAST-MODIFIED:20240520T190833Z
LOCATION:PDL C-38
SEQUENCE:503
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-28/final-exam
END:VEVENT
BEGIN:VEVENT
UID:0f16837d-bb63-4b40-b273-1e35d7ea6709
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240516T180543Z
DESCRIPTION:Speaker: Zhenyao Sun\, Beijing Institute of Technology\n\n\nCon
sider [0\, 1]-valued random field solution (ut(x)\; t≥0\,x∈R) to the one-d
imensional stochastic heat equation\n$$ \partial_t u_t = \frac{1}{2}\Delta
u_t + b(u_t) + \sqrt{u_t(1-u_t)} \dot W $$\nwhere b(1) ≤ 0 ≤ b(0) and \d
ot W is a space-time white noise. In this talk\, we present the weak exist
ence and uniqueness of the above equation for a class of drifts b(u) that
may be irregular at the points where the noise is degenerate\, that is\, a
t u = 0 or u = 1. This class of drifts includes non-Lipschitz drifts like
b(u) = u^q (1 − u) for every q ∈ (0\, 1)\, and some discontinuous drifts l
ike b(u) = 1_{(0\,1]} (u) − u. This demonstrates a regularization effect o
f the multiplicative space-time white noise without assuming the standard
assumption that the noise coefficient is Lipschitz and non-degenerate.
The method we apply is a further development of a moment duality tec
hnique that uses branching-coalescing Brownian motions as the dual particl
e system. To handle an irregular drift in the above equation\, particles i
n the dual system are allowed to have a number of offspring with infinite
expectation\, even an infinite number of offspring with positive probabili
ty. We show that\, even though the branching mechanism with infinite numbe
r of offspring causes explosions in finite time\, immediately after each e
xplosion the total population comes down from infinity due to the coalesci
ng mechanism. Our results on this dual particle system are of independent
interest. This is based on a joint work with Clayton Barnes and Le
onid Mytnik.
DTSTART;TZID=America/Los_Angeles:20240528T143000
DTEND;TZID=America/Los_Angeles:20240528T152000
LAST-MODIFIED:20240516T181420Z
LOCATION:PDL C-401
SEQUENCE:504
SUMMARY:: Wright-Fisher stochastic heat equations with irregular drifts
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-28/wright-fisher-stochastic-
heat-equations-irregular-drifts
END:VEVENT
BEGIN:VEVENT
UID:a0c748b0-ad9f-4fa6-a5b4-e13879dd32dd
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events
CLASS:PUBLIC
CREATED:20240524T001603Z
DESCRIPTION:Speaker: Students in Math 381\n\nThe students in Math 381 = Dis
crete Math Modeling this spring have been tackling problems with community
partners around UW\, in Seattle\, and this year in Slovenia and China.
We have 70 students doing 15 service-learning projects about a wide variet
y of issues faced by small businesses\, clubs on campus\, and some local n
on-profits. We'd like to invite you to join us for a celebration of their
hard work and to share in the learning experience. \n\n\nSection A teams
:\nCargo Packing for Shipping Containers. Everett Hirano\, Logan Hosoda\,
Cade Tanaka\, Haoran Xiang.\nOptimizing Food Delivery Routes for U-Distric
t Food Bank.CC Ahrens\, Cin Ahrens\, Nelson Athow\, Aaron Lee\, Linsey Sch
neider\nTabletop Village Scheduling Mila Bojanic\, Lindsy Marroquin\, Tina
Song\, Kasten Welsh\nSeating Zones and Pricing Strategies for Meany Hall
Charles Chen\, Wei Fang\, Rongrong Le\, Chris Lu\, Hanyang Yu\nOptimizing
Set Designs for Indian Folk Dance Team Sashiv Bhatia\, Mark Egbert\, Benja
min Zhou\nSaving Murphy’s PubLucas Cho\, Jonathan Della Santina\, Javier G
arcia\, Theo Holmes\, Bernie Liu\, Vlad Radostev\nOptimal Staffing at Cent
er Table Xuchen Chen\, Zihao Liu\, Weichen Sun\, Richard Wang\, Ziwei Wang
\nThe Forgotten Refrigerator at District Market AlderZihan Chen\, Xiaoke H
uang\, Jiapeng Ni\, Young Z\nSection B teams:\nLinear Programming to Route
Telecommunications Networks Bhavana Honavalli\, Riya Kulkarni\, Nina Misl
ej\, Skyelar Reed\, Marcus Yim\nScheduling Physical Exercises for Optimize
d Training Outcome Junbo Huang\, David Miller\, Chingya Ni\, Yixuan Wang\,
Weifan Wu\, Yusong Yan\nCombating Loss of News Viewership through Live Sp
orts AdsClaire Atkinson\, Aryana Bhattacharyya\, Flora Chen\, Sehaj Dhillo
n\, Julien Johnson\, Julia Russell\nRoutes for Restaurant2Garden Joeph Raf
ael\, Arnav Srinivasan\, Nathan Chen\, Sammy Giang\nStrategic Placement of
Fire Department Resources Prince Wang\nOptimization of Composting Informa
tion Minh Phan\, Jason Liu\, Sitong Cheng\, Zeyin Feng\, Chenyang Yuan\, J
ayden Edara\nScheduling CLUE Math TutorsLiam Chu\, Dianna E\, Tyler Franck
\, Sarah Mathison\, Pujan Patel\n
DTSTART;TZID=America/Los_Angeles:20240529T103000
DTEND;TZID=America/Los_Angeles:20240529T123000
LAST-MODIFIED:20240822T184151Z
LOCATION:NAN Building Commons\, 1st floor
SEQUENCE:505
SUMMARY:: Math 381 Service Learning Poster Session
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-29/math-381-service-learning
-poster-session
END:VEVENT
BEGIN:VEVENT
UID:37296cbd-a427-41dc-9cd7-217e5e77814b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240410T192953Z
DESCRIPTION:Speaker: Fiona Young\, Cornell University\n\nAbstract:\nOne way
to define an integer polymatroid \$\rho\$ is via its independent set poly
tope\, whose faces are parallel translations of the independent set polyto
pes of the minors of \$\rho\$. To better understand the interior of this p
olytope\, we endow a structure on this polytope which relates to the polym
atroid operation of compression and the \$k\$-natural matroid of \$\rho\$.
The latter can be intuited as follows: if we think of a polymatroid as a
subspace arrangement\, then to obtain its \$k\$-natural matroid\, freely p
lace \$k\$ points on each subspace and then delete the original subspaces.
For a given minor-closed class of matroids \$\mathcal{C}\$\, we can define
another class: the class of \$k\$-polymatroids whose \$k\$-natural matroi
ds are in \$\mathcal{C}\$. This new class is (polymatroid) minor-closed as
well as closed under a generalization of matroid duality known as \$k\$-d
uality. For the case \$k = 2\$\, Bonin and Long determined the set of excl
uded minors for the class of \$k\$-polymatroids whose \$k\$-natural matroi
ds are binary (i.e. lacking a \$U_{2\,4}\$-minor)\; they found an infinite
sequence of excluded minors\, along with eight other excluded minors that
do not belong to this sequence. We extend their result to larger \$k\$ an
d find that the set of excluded minors becomes finite for \$k \geq 3\$.We
generalize this problem to the class of \$k\$-polymatroids whose \$k\$-nat
ural matroids lack both \$U_{2\,b}\$- and \$U_{b-2\,b}\$- minors. As \$b\$
grows\, the original method becomes increasingly unwieldy and that is whe
re the polytopal perspective comes into play. We define a notion of bounde
dness for polymatroids and show that\, under optimal conditions\, the boun
ds on the singleton and doubleton minors of \$\rho\$ completely determine
the bounds on \$\rho\$. This holds the key to showing that when \$k\$ is s
ufficiently large\, there are finitely many excluded minors for the class
of \$k\$-polymatroids whose \$k\$-natural matroids lack both \$U_{2\,b}\$-
and \$U_{b-2\,b}\$- minors.We investigate a further generalization to the
class of \$k\$-polymatroids whose \$k\$-natural matroids lack both \$U_{a
\,b}\$- and \$U_{b-a\,b}\$- minors. Curiously\, here we find many infinite
sequences of excluded minors having a similar flavor to the infinite sequ
ence found by Bonin and Long.\nNote: This talk begins with a pre-seminar (
aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.\nJ
oin Zoom Meeting: https://washington.zoom.us/j/91547335974Meeting ID: 915
4733 5974
DTSTART;TZID=America/Los_Angeles:20240529T153000
DTEND;TZID=America/Los_Angeles:20240529T170000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:506
SUMMARY:: Dissecting an Integer Polymatroid
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-29/dissecting-integer-polyma
troid
END:VEVENT
BEGIN:VEVENT
UID:2f25ebfe-895a-4604-bc48-a8e7a473339c
DTSTAMP:20241102T084548Z
CATEGORIES:Academic Calendar
CLASS:PUBLIC
CREATED:20240528T210017Z
DESCRIPTION:Final meeting of the WXML for spring quarter. See all the wonde
rful work that our undergraduates have done this quarter.
DTSTART;TZID=America/Los_Angeles:20240529T170000
DTEND;TZID=America/Los_Angeles:20240529T190000
LAST-MODIFIED:20240822T184151Z
LOCATION:DEN-303
SEQUENCE:507
SUMMARY:: WXML Open House
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-30/wxml-open-house
END:VEVENT
BEGIN:VEVENT
UID:942d64c2-e95c-4cd3-862d-ad18582d6945
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240520T190658Z
DESCRIPTION:Speaker: Albert Artiles\n\n'Statistics of the Minimal Denominat
or Function and Short Holonomy Vectors of Translation Surfaces'\nAdvisor:
Jayadev Athreya
DTSTART;TZID=America/Los_Angeles:20240530T100000
LAST-MODIFIED:20240520T190658Z
LOCATION:PDL C-38
SEQUENCE:508
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-30/final-exam-0
END:VEVENT
BEGIN:VEVENT
UID:21099173-063b-4e7e-93ad-34ede4709f39
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240520T190515Z
DESCRIPTION:Speaker: Yang Yu\n\nAdvisor: Zhen-Qing Chen
DTSTART;TZID=America/Los_Angeles:20240530T110000
LAST-MODIFIED:20240520T190515Z
LOCATION:SAV 138
SEQUENCE:509
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-30/final-exam
END:VEVENT
BEGIN:VEVENT
UID:28036159-924b-43d7-9cb9-8a020da74a70
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240424T201532Z
DESCRIPTION:Speaker: Jayadev Athreya\n\nAbstract: We describe two problems
arising from the general problem of counting special embeddings/immersions
of graphs in surfaces\, both of which can be turned into lattice point co
unting problems in an appropriate space\, bringing together ideas from geo
metry\, dynamics\, and number theory. The first part of the talk is joint
work with David Aulicino and Harry Richman\, and the second part of the ta
lk is joint work with Tarik Aougab.
DTSTART;TZID=America/Los_Angeles:20240530T153000
DTEND;TZID=America/Los_Angeles:20240530T163000
LAST-MODIFIED:20240510T025325Z
LOCATION:PDL C-401
SEQUENCE:510
SUMMARY:: Counting Graphs on Surfaces
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-30/counting-graphs-surfaces
END:VEVENT
BEGIN:VEVENT
UID:cc09eaf6-c0fc-4e8e-b674-2e46dbe0d648
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240520T190339Z
DESCRIPTION:Speaker: Xuan Huang\n\nAdvisor: James Zhang
DTSTART;TZID=America/Los_Angeles:20240531T133000
LAST-MODIFIED:20240520T190339Z
LOCATION:CLK 120
SEQUENCE:511
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-31/general-exam
END:VEVENT
BEGIN:VEVENT
UID:7f5c33df-5aad-4af5-b02d-e2d2ffb85628
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240528T203025Z
DESCRIPTION:Speaker: Herman Chau\, University of Washington\n\nIn this talk
\, we'll explore 3 elementary and different ways to look at the same objec
t: rhombic tilings of a regular polygon\, sorting networks\, and 0-1 matri
ces called weaving patterns. These different perspectives will help us ans
wer some enumerative questions about these objects.\nZoom Link: https://wa
shington.zoom.us/j/92849568892
DTSTART;TZID=America/Los_Angeles:20240531T143000
DTEND;TZID=America/Los_Angeles:20240531T153000
LAST-MODIFIED:20240822T184151Z
LOCATION:PDL C-401
SEQUENCE:512
SUMMARY:: 1-2-3 Seminar: Tilings\, Sortings\, and Weaving Patterns
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-05-31/1-2-3-seminar-tilings-sor
tings-and-weaving-patterns
END:VEVENT
BEGIN:VEVENT
UID:4f6ef2bd-b07f-44e0-a291-1831fcd15255
DTSTAMP:20241102T084548Z
CATEGORIES:Special Events
CLASS:PUBLIC
CREATED:20240513T185743Z
DESCRIPTION:An oral math Olympiad for Seattle area students in grades 6-10
DTSTART;TZID=America/Los_Angeles:20240602T100000
DTEND;TZID=America/Los_Angeles:20240602T153000
LAST-MODIFIED:20240513T185743Z
LOCATION:Savery Hall
SEQUENCE:513
SUMMARY:: UW Math Hour Olympiad
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-02/uw-math-hour-olympiad
END:VEVENT
BEGIN:VEVENT
UID:dafb5d74-5735-4a1f-9584-176819fc4a16
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240531T195506Z
DESCRIPTION:Speaker: Collin Litterell\n\nAdvisor: John Palmieri\nTensor tri
angular geometry of modules over the mod 2 Steenrod algebra
DTSTART;TZID=America/Los_Angeles:20240603T103000
LAST-MODIFIED:20240531T195506Z
LOCATION:PDL C-38
SEQUENCE:514
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-03/final-exam
END:VEVENT
BEGIN:VEVENT
UID:62175a0b-9b9e-43c9-b047-55a9a6ee54f4
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240531T202544Z
DESCRIPTION:Speaker: Amitabh Basu\, Johns Hopkins University\n\nWe consider
the problem of minimizing a convex function under convex constraints\, wh
ere some or all of the decision variables are constrained to be integer\,
with access to first-order oracles for the objective function and separati
on oracles for the constraints. We focus on the information complexity of
the problem\, i.e.\, the minimum number of oracle calls to solve the probl
em to a desired accuracy. We will present nearly tight upper and lower bou
nds for the problem\, extending classical results from continuous convex o
ptimization. We also initiate the study of\, and obtain the first set of r
esults on\, information complexity under oracles that only reveal partial
first-order information\, e.g.\, where one can only make a binary query on
the function value or (sub)gradient at a given point. Our bounds in these
new settings show that these oracles are provably less informative than f
ull first-order oracles for the purpose of optimization. We will close the
talk with some open questions.
DTSTART;TZID=America/Los_Angeles:20240603T153000
DTEND;TZID=America/Los_Angeles:20240603T163000
LAST-MODIFIED:20240531T202606Z
LOCATION:CSE2 G01 - Gates Center
SEQUENCE:515
SUMMARY:: Information complexity of mixed-integer convex optimization
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-03/information-complexity-mi
xed-integer-convex-optimization
END:VEVENT
BEGIN:VEVENT
UID:b75cf558-0eb0-417e-9b23-f43410b007ff
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240529T163647Z
DESCRIPTION:Speaker: Tafari Clark James\n\n'Toward Cohomology of Real Close
d Spaces'\nAdvisor: Sándor Kovács
DTSTART;TZID=America/Los_Angeles:20240604T133000
LAST-MODIFIED:20240529T163647Z
LOCATION:PDL C-38
SEQUENCE:516
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-04/final-exam
END:VEVENT
BEGIN:VEVENT
UID:b6c330d1-28ff-4911-bdb3-43cee0314726
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20231127T232108Z
DESCRIPTION:AGENDA\n\n \n\n\n\n Call to Order\n Chair's Remarks\n Announcement
s\n Committee Reports\n New Business\n Executive Session\n Adjournment
DTSTART;TZID=America/Los_Angeles:20240604T153000
DTEND;TZID=America/Los_Angeles:20240604T163000
LAST-MODIFIED:20240916T190407Z
LOCATION:via Zoom
SEQUENCE:517
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-04/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:ede1bd23-0a34-46f8-9e9a-84d061c17183
DTSTAMP:20241102T084548Z
CATEGORIES:Ceremonies\, Special Events\, Student Activities
CLASS:PUBLIC
CREATED:20240516T201818Z
DESCRIPTION:Please join the Math Department in celebrating our 2023-2024 un
dergraduate math majors. Students need to RSVP. More information can be
found here.\nhttps://math.washington.edu/math-department-undergraduate-gra
duation-ce…
DTSTART;TZID=America/Los_Angeles:20240605T103000
DTEND;TZID=America/Los_Angeles:20240605T120000
LAST-MODIFIED:20240516T201850Z
LOCATION:HUB Ballroom
SEQUENCE:518
SUMMARY:: Math Undergraduate Graduation Celebration
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-05/math-undergraduate-gradua
tion-celebration
END:VEVENT
BEGIN:VEVENT
UID:d0707a2b-6cf1-49c5-9544-694313f2a30a
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240529T163818Z
DESCRIPTION:Speaker: Tony Zeng\n\nAdvisor: Stefan Steinerberger
DTSTART;TZID=America/Los_Angeles:20240605T140000
LAST-MODIFIED:20240529T163818Z
LOCATION:PDL C-401
SEQUENCE:519
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-05/general-exam
END:VEVENT
BEGIN:VEVENT
UID:6f0916a7-5e01-4eaf-9741-8784716f4cad
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240530T030317Z
DESCRIPTION:Speaker: Bernd Sturmfels\, MPI Leipzig\n\nThe Grassmannian para
metrizes linear subspaces of a real vector space. It is both a projective
variety (via Plücker coordinates) and an affine variety (via orthogonal pr
ojections). We examine these two representations through the lenses of lin
ear algebra\, commutative algebra\, and statistics.
DTSTART;TZID=America/Los_Angeles:20240607T100000
DTEND;TZID=America/Los_Angeles:20240607T110000
LAST-MODIFIED:20240822T184151Z
LOCATION:Gates 271
SEQUENCE:520
SUMMARY:: The two lives of the Grassmannian
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-07/two-lives-grassmannian
END:VEVENT
BEGIN:VEVENT
UID:61ad5090-0bca-4313-a419-6c65093a5acd
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240612T202444Z
DESCRIPTION:Speaker: Eric Zhang\n\nAdvisor: James Zhang
DTSTART;TZID=America/Los_Angeles:20240617T140000
LAST-MODIFIED:20240612T202444Z
LOCATION:PDL C-38
SEQUENCE:521
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-06-17/general-exam
END:VEVENT
BEGIN:VEVENT
UID:3590c01a-ee45-47a0-88dd-88707159f755
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240702T165233Z
DESCRIPTION:Speaker: Lidan Wang\, Nankai University\, China\n\nIn this talk
\, we discuss stochastic 3D Burgers equations driven by multiplicative noi
se\, with uncertainty occurring in initial conditions as well. By utilizin
g Malliavin calculus techniques and randomization method\, we establish th
e global well-posedness result for stochastic Burgers equations with rando
m initial data. Our work can be viewed as an extension of the one-dimensio
nal result in [SIAM J Math Analysis\, 2013] to the three-dimensional case.
\nBased on the joint work with Zhang and Zhou.\n
DTSTART;TZID=America/Los_Angeles:20240711T143000
DTEND;TZID=America/Los_Angeles:20240711T153000
LAST-MODIFIED:20240702T165233Z
LOCATION:PDL C-38
SEQUENCE:522
SUMMARY:: Stochastic 3D Burgers equations with random initial data
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-07-11/stochastic-3d-burgers-equ
ations-random-initial-data
END:VEVENT
BEGIN:VEVENT
UID:c6946849-f2be-4328-baff-561377b455e8
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240709T154134Z
DESCRIPTION:Speaker: Casey Koch Larue\n\n'Generalizations of the Exterior a
nd Symmetric Power Functors on Categories of Modules using Coinvariants of
Tensor Power Functors'\nAdvisor: Sándor Kovács
DTSTART;TZID=America/Los_Angeles:20240712T140000
LAST-MODIFIED:20240709T154134Z
LOCATION:PDL C-38
SEQUENCE:523
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-07-12/final-exam
END:VEVENT
BEGIN:VEVENT
UID:fcf716e8-c450-472e-bfc6-686e67caeb4a
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240722T174306Z
DESCRIPTION:Speaker: Raghav Tripathi\n\n'Stochastic Analysis on Graphons'\n
Advisor: Soumik Pal
DTSTART;TZID=America/Los_Angeles:20240730T100000
LAST-MODIFIED:20240722T174306Z
LOCATION:Gates 271
SEQUENCE:524
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-07-30/final-exam
END:VEVENT
BEGIN:VEVENT
UID:9f89d031-6f90-4d8e-985b-22de3b837483
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240722T174425Z
DESCRIPTION:Speaker: Alex Wang\n\nAdvisor: Bianca Viray
DTSTART;TZID=America/Los_Angeles:20240801T110000
LAST-MODIFIED:20240722T174425Z
LOCATION:SMI 105
SEQUENCE:525
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-08-01/general-exam
END:VEVENT
BEGIN:VEVENT
UID:dd9c1e3a-9858-4f0a-8e55-ba1821dd8831
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20240808T151251Z
DESCRIPTION:Speaker: Andrew Tawfeek\n\nAdvisor: Sándor Kovács
DTSTART;TZID=America/Los_Angeles:20240813T140000
LAST-MODIFIED:20240808T151251Z
LOCATION:PDL C-38
SEQUENCE:526
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-08-13/general-exam
END:VEVENT
BEGIN:VEVENT
UID:70c38f5a-9024-4ac8-a73b-8cdc60437383
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240806T235106Z
DESCRIPTION:Speaker: Carlos Rivera\n\n'Reciprocity and local to global prin
ciples on p-adic function fields'\nAdvisor: Bianca Viray
DTSTART;TZID=America/Los_Angeles:20240815T100000
LAST-MODIFIED:20240806T235106Z
LOCATION:PDL C-38
SEQUENCE:527
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-08-15/final-exam
END:VEVENT
BEGIN:VEVENT
UID:b81ca5d6-463c-48d6-8759-9e4c229697fd
DTSTAMP:20241102T084548Z
CATEGORIES:Conferences
CLASS:PUBLIC
CREATED:20240904T215100Z
DESCRIPTION:A celebration of the works of Chris Burdzy\, Don Marshall and G
unther Uhlmann\n\nOrganizers: Alexis Drouot\, Soumik Pal and Steffen Rohde
\n\n \n\nSchedule:\n\n\n \n Welcome address at 9:45 am.\n \n \n 10 am -- 10:45
am - Soumik Pal speaks on the contributions of Chris Burdzy\n \n \n 10:55 am
-- 11:40 am - Steffen Rohde speaks on the contributions of Don Marshall\n
\n \n 11:50 am -- 12:35 pm - Gabriel Paternain speaks on the contributions o
f Gunther Uhlmann \n \n \n Lunch break from 12:35 pm till 2:30 pm\n \n \n 2:30
pm – 3:00 pm: Talk by Alexis Drouot \n \n \n 3:10 – 3:40 pm: Talk by Dima Dr
usvyatsky\n \n \n 3:50 – 4:20 pm: Talk by Bobby Wilson\n \n \n 4:30 – 5:00 pm: T
alk by Jon Zhu\n \n \n Concludes at 5 pm.\n \n \n Dinner at 5:30 p.m. \n \n\n\n\n
Register here for attendance and the conference dinner.
DTSTART;TZID=America/Los_Angeles:20240919T094500
DTEND;TZID=America/Los_Angeles:20240919T170000
LAST-MODIFIED:20240916T172445Z
LOCATION:CMU 226
SEQUENCE:528
SUMMARY:: Analysis Geometry Probability day
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-09-19/analysis-geometry-probabi
lity-day
END:VEVENT
BEGIN:VEVENT
UID:5f4162c5-540a-41f9-b5b8-7e97b3309252
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20240610T223211Z
DESCRIPTION:AGENDA\n\n \n\n\n\n Call to Order\n Chair's Remarks\n Announcement
s\n \n Graduate Admissions Committee - Koblitz\n \n \n Committee Reports\n New B
usiness\n Executive Session\n Adjournment\n\n\n\n\nMINUTES\n\nThe regular me
eting of the faculty of the Department of Mathematics was held virtually v
ia Zoom at 11am PST\, September 24\, 2024. Max Lieblich\, Chair\, presided
over the meeting. Rose Choi was the recording secretary.\n\nChair's Remar
ks\n\nMax Lieblich opened up the floor to the attendees to share any good
news or announcements.\n\nFaculty can sign up for their choice of committe
e(s) and add service/project suggestions via a shared Google doc.\n\nWe wi
ll be conducting a search for Acting Assistant Professors this year.\n\n20
27 will be the 100th year anniversary of the department. If you would like
to volunteer in helping organize a celebratory event\, please add your na
me to the service doc.\n\nAnnouncements\n\nThe colloquia will kick off wit
h Thomas Rothvoss speaking on October 18th followed by a joint talk with C
SE and Statistics in November. Please try to attend these talks and also j
oin the pre-colloquia socials in the math lounge.\n\nHusky Math Academy is
a new program under the UW Math Circle umbrella. They are looking for mor
e instructors and TAs as the program continues to expand. The UW Math Circ
le is also looking for speakers who are able to relate to middle and high
school students. If any of the colloquium speakers meet this criteria\, pl
ease ask them if they'd also be interested in giving a talk at the Math Ci
rcle.\n\nMath Day is currently stalled due to support changes at the UW. I
t’s been a very popular and successful outreach program that has been offe
red for many years but to keep it going volunteers will need to help build
the program from the bottom up.\n\nPutnam Prep is in need of volunteers t
o help with the training sessions.\n\nAn alumni event is being planned for
the Joint Mathematics Meetings (JMM) downtown on January 9th. Please save
the date on your calendars. More details to come.\n\nThe Graduate Admissi
ons Committee is in need of volunteers from a variety of fields and backgr
ounds to help review applications from prospective grad students.\n\nFarbo
d Shokrieh has joined the Senate Executive Committee of the Faculty Senate
and will continue to provide regular updates and gather departmental feed
back as much as possible again this year. \n\nADJOURNMENT\n\nThere being n
o committee reports or new business\, the meeting passed into executive se
ssion at 11:53am.
DTSTART;TZID=America/Los_Angeles:20240924T110000
DTEND;TZID=America/Los_Angeles:20240924T120000
LAST-MODIFIED:20241007T223711Z
LOCATION:via Zoom
SEQUENCE:529
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-09-24/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:e07bce15-9cd6-4f79-a1fb-177d6b98dbfb
DTSTAMP:20241102T084548Z
CATEGORIES:Final Exam
CLASS:PUBLIC
CREATED:20240923T233649Z
DESCRIPTION:Speaker: Joonyong Choi\n\nCoupled Time Fractional Equations and
Probabilistic Representation\n\nAdvisor: Zhen-Qing Chen
DTSTART;TZID=America/Los_Angeles:20240924T133000
DTEND;TZID=America/Los_Angeles:20240924T143000
LAST-MODIFIED:20240924T200821Z
LOCATION:PDL C-38
SEQUENCE:530
SUMMARY:: Final Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-09-24/final-exam
END:VEVENT
BEGIN:VEVENT
UID:6b10b660-0faf-47c9-a1fb-4a09b26220c8
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240920T164557Z
DESCRIPTION:Speaker: Zhenqing Chen\, University of Washington\n\nConsider a
symmetric strongly local regular Dirichlet form on a locally compact sep
arable metric measure space \$({\cal X}\, m)\$ whose heat kernel admits su
b-Gaussian heat kernel estimate. Let \$D\$ be a uniform subdomain of \$
{\cal X}\$. There is a conservative reflected diffusion process \$X\$ on \
$\overline D\$. The trace Dirichlet form on the boundary of \$D\$ is the
Dirichlet form of the diffusion process \$X\$ time-changed by a smooth me
asure \$\mu\$ with full quasi-support on \$\partial D\$. In this talk\, we
give Besov space type characterization of the domain of the trace Dirichl
et forms for any good smooth measure \$\mu\$ on the boundary \$\partial D\
$. We investigate properties of the harmonic measure of \$X\$ on the bou
ndary \$\partial D\$. In particular\, we provide a condition equivalent to
the doubling property of the harmonic measure. We then present characteri
zation and estimates of the jump kernel of the trace Dirichlet form under
the doubling condition of the harmonic measure on \$\partial D\$. \n\nThis
is based on a joint work with Shiping Cao.
DTSTART;TZID=America/Los_Angeles:20240930T143000
DTEND;TZID=America/Los_Angeles:20240930T153000
LAST-MODIFIED:20240920T165204Z
LOCATION:SMI 405
SEQUENCE:531
SUMMARY:: Boundary trace of reflected diffusions on uniform domains
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-09-30/boundary-trace-reflected-
diffusions-uniform-domains
END:VEVENT
BEGIN:VEVENT
UID:523ed0d5-0746-4638-a4ee-efd307365ef0
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240925T153514Z
DESCRIPTION:Speaker: Julie Rowlett (Chalmers University)\n\nAn integrable p
olygon is one whose interior angles are of the form π/n for positive integ
ers n. As an exercise\, can you determine all integrable polygons? I'll di
scuss joint work with Gustav Mårdby in which we obtain new heat trace inva
riants for these polygons. It turns out that integrable polygons are also
precisely those polygons which strictly tessellate the plane. I will also
discuss joint work with M. Blom\, H. Nordell\, O. Thim\, and J. Vahnberg i
n which we explore the generalization of integrable polygons to higher dim
ensions. This includes an equivalence between the geometric characterizati
on of strict tessellation\, an analytic characterization of Dirichlet Lapl
ace eigenfunctions\, and an algebraic characterization of crystallographic
Coxeter groups.
DTSTART;TZID=America/Los_Angeles:20241001T133000
DTEND;TZID=America/Los_Angeles:20241001T153000
LAST-MODIFIED:20240925T153514Z
LOCATION:PDL C-401
SEQUENCE:532
SUMMARY:: Spectral invariants of integrable polygons
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-01/spectral-invariants-integ
rable-polygons
END:VEVENT
BEGIN:VEVENT
UID:6f9f1be7-f04a-4df1-a925-b359512b72bd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240926T215054Z
DESCRIPTION:Speaker: Justin Bloom (UW)\n\n\n\n\nTitle pretalk: Finite grou
p schemes and restricted Lie algebras\n \n\nAbstract pretalk: We will revi
ew examples of Hopf algebras using the language of group schemes\, Lie alg
ebras\, and Jacobson's restricted Lie algebras in positive characteristic.
\n\n \n\n\nTitle: Deforming tensor products for restricted representations
of Lie algebras. \n\nAbstract: What can the classification of Hopf algebr
as of small dimension over a field tell us about families of tensor catego
ries? Fixing a finite dimensional algebra\, letting a Hopf algebra structu
re be taken as variable is equivalent under Tannakian duality to letting t
he k-linear tensor product over the category of modules be variable. Ideal
ly we could describe explicitly how the Green ring is changing\, but for a
lgebras of wild representation type this is likely infeasible. It turns ou
t starting with the restricted enveloping algebra for a restricted Lie alg
ebra (characteristic p > 0) allows a nice perspective from tensor-triangul
ar geometry. We will see an example of a tame Lie algebra\, with all Hopf
algebra structures known up to isomorphism\, satisfying a tt-geometry flav
ored property pertaining to its variable Green ring. \n\n\n\n
DTSTART;TZID=America/Los_Angeles:20241001T133000
DTEND;TZID=America/Los_Angeles:20241001T153000
LAST-MODIFIED:20240926T215054Z
LOCATION:PDL C-38
SEQUENCE:533
SUMMARY:: Deforming tensor products for restricted representations of Lie a
lgebras
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-01/deforming-tensor-products
-restricted-representations-lie-algebras
END:VEVENT
BEGIN:VEVENT
UID:771c8cd3-cc32-4f92-a2f5-4ebb468b0651
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241001T153213Z
DESCRIPTION:Speaker: Brian Nugent (University of Washington)\n\nThis will b
e an introduction to the derived category which will focus on the key defi
nitions and ideas with less technical details. We will also do some exampl
es to see how one works in the derived category.
DTSTART;TZID=America/Los_Angeles:20241002T161500
DTEND;TZID=America/Los_Angeles:20241002T171500
LAST-MODIFIED:20241001T153235Z
LOCATION:CMU 230
SEQUENCE:534
SUMMARY:: Student s Algebraic Geometry Seminar A Beginners Guide to the Der
ived Category
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-02/student-s-algebraic-geome
try-seminar-beginners-guide-derived-category
END:VEVENT
BEGIN:VEVENT
UID:a45e78fc-68f8-448a-9215-e51013049729
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240926T002921Z
DESCRIPTION:Speaker: hosted by Sara Billey and Paige Helms\n\nAre you a gra
duate student applying for jobs this year? If so\, please join us for a b
rown bag lunch on Thursday Oct 3 at 1:00pm - 2:00pm. We will either be in
the conference room or in the lounge. Bring your own lunch. This is a
supportive gathering to share ideas and information about the job applicat
ion process and to encourage camaraderie. We will talk about creating app
lication materials\, requesting letters of recommendation\, and how to fin
d the advertisements for jobs of interest to you. Faculty are welcome to
come share their experience with applications and on the hiring committee
. \n\nPlease note\, the lunch is open only to students who are currently
applying for jobs and/or planning to graduate this year. See the talk i
n November aimed at transition to research if just want a feeling for wha
t comes next.
DTSTART;TZID=America/Los_Angeles:20241003T130000
DTEND;TZID=America/Los_Angeles:20241003T140000
LAST-MODIFIED:20241001T162216Z
LOCATION:Padelford Math Conference Room inside the Main Office
SEQUENCE:535
SUMMARY:: Jobs Lunch
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-03/jobs-lunch
END:VEVENT
BEGIN:VEVENT
UID:f983cec6-fc7f-46a7-b8c0-5e999442ba19
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240910T152907Z
DESCRIPTION:Speaker: Junaid Hasan\, Vasily Ilin\, Jack Kendrick\, Garrett
Mulcahy\, Nelson Niu\, Tony Zeng and maybe more!\n\nThis event features pa
nelists who either recently did internships or have done workshops with th
e Erdős Institute. They will share their experience about the work and the
application process. If you are considering applying for internships this
summer\, this will be a great time to ask questions\, formulate your goal
s for next summer\, make a plan of attack toward achieving those goals\, a
nd encourage each other along the way.
DTSTART;TZID=America/Los_Angeles:20241003T160000
DTEND;TZID=America/Los_Angeles:20241003T173000
LAST-MODIFIED:20241003T225922Z
LOCATION:Padelford C-38
SEQUENCE:536
SUMMARY:: Internship Ideas and Planning
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-03/internship-ideas-and-plan
ning
END:VEVENT
BEGIN:VEVENT
UID:2ddb456c-1abe-4cd9-a8ef-eccd2e497e79
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241002T202525Z
DESCRIPTION:Speaker: Tracy Chin\n\nTitle: Real Algebraic Geometry\n\nAbstra
ct: This talk will be a survey of a hierarchy of classes of real polynomia
ls. Along the way\, we'll investigate the underlying geometry and see some
surprising connections to combinatorial objects. We'll start from real-ro
oted univariate polynomials\, then make our way through real stable polyno
mials to Lorentzian and log-concave polynomials\, building more evidence a
long the way that all math is secretly linear algebra.
DTSTART;TZID=America/Los_Angeles:20241004T143000
DTEND;TZID=America/Los_Angeles:20241004T153000
LAST-MODIFIED:20241002T202525Z
LOCATION:PDL C-401
SEQUENCE:537
SUMMARY:: Back To School Seminar
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-04/back-school-seminar
END:VEVENT
BEGIN:VEVENT
UID:43de1f48-3b27-489f-a54d-42750f1be380
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240926T001728Z
DESCRIPTION:Speaker: Milind Hegde\, Columbia University\n\nIn the colored a
symmetric simple exclusion process\, one places a particle of 'color' \$-k
\$ at each integer site \$k \in \mathbb Z\$. Particles attempt to swap pla
ces with an adjacent particle: at rate \$q\in[0\,1)\$ if they are initiall
y ordered (e.g.\, 1 then 2) and at rate 1 if ordered in reverse (e.g.\, 2
then 1)\; thus the particles tend to get more ordered over time. We will d
iscuss the scaling limit of this process\, which lies in the Kardar-Parisi
-Zhang universality class. It is given by the directed landscape\, which w
as first constructed in 2018 by Dauvergne-Ortmann-Virág as a limit in a ve
ry different setting - of fluctuations of a model of a random directed met
ric. The Yang-Baxter equation and line ensembles (collections of random no
n-intersecting curves) with certain Gibbs or spatial Markov properties wil
l play fundamental roles in our discussion.\n\nThis is based on joint work
with Amol Aggarwal and Ivan Corwin.
DTSTART;TZID=America/Los_Angeles:20241007T143000
DTEND;TZID=America/Los_Angeles:20241007T153000
LAST-MODIFIED:20240926T001728Z
LOCATION:SMI 405
SEQUENCE:538
SUMMARY:: The scaling limit of the colored asymmetric simple exclusion proc
ess
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-07/scaling-limit-colored-asy
mmetric-simple-exclusion-process
END:VEVENT
BEGIN:VEVENT
UID:839d176a-bf62-46a4-bd39-88bb500687c7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241002T180153Z
DESCRIPTION:Speaker: Roberto Svaldi (Milan)\n\n\n\n\nTitle pretalk: Foliati
ons and birational geometry.\n\nAbstract pretalk: In this talk I will intr
oduce the notion of foliation on an algebraic variety.\nI will focus on th
e basic notions involved in the study of the birational geometry of foliat
ions\, and will give some examples and motivations for the study of such o
bjects.\nNo prior knowledge/familiarity with the concept of foliation will
be assumed.\n\n \n\n\nTitle talk:\nTowards a moduli theory for canonical
models of foliated surfaces of general type.\n\nAbstract talk:\nIn recent
years there has been considerable progress in extending the ideas and tech
niques of the Minimal Model Program beyond the realm of algebraic varietie
s to the study of foliations. For the case of foliations on surfaces\, McQ
uillan\, Brunella and Mendes have obtained a detailed classification — ana
logous to the Enriques-Kodaira classification.\nIn this seminar\, I will e
xplain how\, using the birational classification of foliations on surfaces
and MMP techniques\, we can start constructing moduli spaces for minimal
foliations that have maximum Kodaira dimension on surfaces. While there ar
e many similarities between the birational variational theory and the theo
ry of foliations\, a whole cornucopia of new phenomena appears in the latt
er. Accordingly\, I will try to explain:\n(1) what these new phenomena are
\;\n(2) what new difficulties they introduce into the identification of a
good functor of moduli for the aforementioned foliations\;\n(3) how these
difficulties can be overcome to obtain a satisfactory theory of moduli and
a construction of the associated moduli space for foliated surfaces of ge
neral type.\nThe talk will feature joint work with C. Spicer\, and joint w
ork in progress with M. McQuillan\, C. Spicer\, and S. Velazquez.\n\n\n\n
DTSTART;TZID=America/Los_Angeles:20241008T133000
DTEND;TZID=America/Los_Angeles:20241008T153000
LAST-MODIFIED:20241002T180153Z
LOCATION:PDL C-38
SEQUENCE:539
SUMMARY:: Towards a moduli theory for canonical models of foliated surfaces
of general type
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-08/towards-moduli-theory-can
onical-models-foliated-surfaces-general-type
END:VEVENT
BEGIN:VEVENT
UID:1caef001-8d12-4923-b802-911750812778
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20240610T223502Z
DESCRIPTION:AGENDA\n\n \n\n\n\n Call to Order\n Chair's Remarks\n \n Student Cr
edit Hour Changes\n \n \n Announcements\n \n Colloquium - Rohde\n Graduate - Pev
tsova\n \n \n Committee Reports\n \n Undergraduate Program - Thomas\n \n \n New Bu
siness\n Executive Session\n Adjournment\n\n\n\n\nMINUTES\n\nThe regular mee
ting of the faculty of the Department of Mathematics was held virtually vi
a Zoom at 3:30pm PST\, October 8\, 2024. Max Lieblich\, Chair\, presided o
ver the meeting. Rose Choi was the recording secretary.\n\nThe meeting beg
an with approval of the previous meeting’s minutes.\n\nChair's Remarks\n\n
The College is facing some financial challenges which will affect retentio
n offers and hires.\n\nVarious faculty within the department are working h
ard to bolster our own programs and outreach efforts. Some examples:\n\n\n
Julia Pevtsova and Danny Shi are continuing their amazing work with UW Mat
h Circle and Husky Math Academy bringing outside interest by teaching kids
about the beauty of math.\n Cynthia Vinzant is running a public lecture se
ries that will make math accessible to a general audience.\n Chris Hoffman
and Charles Camacho are working on a program to help support underserved c
alculus students.\n Andy Loveless is working on setting up internal awards
for teaching.\n Soumik Pal is helping develop an alumni board and organize
the department’s centennial celebration.\n\n\nOur credit hours for undergr
aduate courses fall short in comparison to similarly demanding courses at
parallel departments. Therefore\, the Undergraduate Program Committee prop
oses increasing all 2xx/3xx/4xx classes currently at three credits to four
student credit hours. If you have any questions or comments please route
them to the committee this week. They hope to send out a voting poll by ne
xt week.\n\nMath Day is in need of an organizer or team in order to contin
ue. \n\nThere will be a floor to the funds available via the department fo
r summer grad support.\n\nThe AAP appointments committee is still being fo
rmed.\n\nAnnouncements\n\nFaculty are encouraged to come to the colloquia
and the pre-talk gathering in the math lounge. The first talk of the quart
er will be by our own Thomas Rothvoss. \n\nJulia Pevtsova reminded faculty
to submit their nominations for graduate student awards by next Tuesday.
She also reiterated that summer teaching is not a guarantee for grad stude
nts past their first year. Students will now be required to apply for summ
er teaching positions. If you have an RA\, please consider supporting your
student this summer.\n\nSara Billey is running a community development co
mmittee which will expose students to different opportunities such as inte
rnships. \n\nCommittee Reports\n\nThe Undergraduate Program Committee prop
oses changing the prerequisites for Math 112 and Math 396/491/493 from STA
T. An email with the reasoning for both was sent in advance of the meeting
. Votes were held\, passed\, and approved.\n\nADJOURNMENT\n\nThere being n
o new business\, the meeting passed into executive session at 4:16pm.
DTSTART;TZID=America/Los_Angeles:20241008T153000
DTEND;TZID=America/Los_Angeles:20241008T163000
LAST-MODIFIED:20241028T233950Z
LOCATION:via Zoom
SEQUENCE:540
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-08/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:22ae3623-1275-424b-ae1e-139e5a4ad32f
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240924T203611Z
DESCRIPTION:Speaker: Daoji Huang\, Institute for Advanced Study\n\nAbstract
:\n\nInfluential work of Hodge from the 1940s led the way in using Gröbner
bases to combinatorially study the Grassmannian. In this talk\, we will f
ollow Hodge's approach in order to investigate certain subvarieties called
positroid varieties. Positroid varieties\, introduced by Knutson–Lam–Spey
er in 2013\, provide a stratification of the Grassmannian which enjoys man
y advantages over other previously studied decompositions. In this talk\,
we will present an explicit and combinatorial description of the standard
monomials and Gröbner bases of positroid varieties under the Plücker embed
ding. As applications\, we establish a connection between promotion and e
vacuation on semi-standard Young tableaux and cyclic and reflectional symm
etry of positroid varieties. We also give a formula for computing the T-ch
aracter of the cyclic Demazure modules\, using a recurrence on the Hilbert
series of positroid varieties. This is joint work with Ayah Almousa and S
hiliang Gao.\n\nNote: This talk begins with a pre-seminar (aimed at gradua
te students) at 3:30–4:00. The main talk starts at 4:10.\n\nJoin Zoom Meet
ing: https://washington.zoom.us/j/91547335974\nMeeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20241009T153000
DTEND;TZID=America/Los_Angeles:20241009T170000
LAST-MODIFIED:20240930T045053Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:541
SUMMARY:: Standard monomials for positroid varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-09/standard-monomials-positr
oid-varieties
END:VEVENT
BEGIN:VEVENT
UID:12825451-c9f3-4c26-8519-284293944128
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241001T150913Z
DESCRIPTION:Speaker: Jonathan Zhu (UW)\n\nWe'll survey the use of Łojasiewi
cz-type inequalities in geometric flows\, as well as recent methods for pr
oving `explicit' Łojasiewicz inequalities.
DTSTART;TZID=America/Los_Angeles:20241009T160000
DTEND;TZID=America/Los_Angeles:20241009T170000
LAST-MODIFIED:20241001T150913Z
LOCATION:PDL C-038
SEQUENCE:542
SUMMARY:: ojasiewicz inequalities and mean curvature flow
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-09/ojasiewicz-inequalities-a
nd-mean-curvature-flow
END:VEVENT
BEGIN:VEVENT
UID:4e631777-d6d4-4892-98f3-c001765c8ff4
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241004T053401Z
DESCRIPTION:Speaker: Leopold Mayer\, University of Washington\n\nThe derive
d category is no longer an abelian category\, so we need to find some othe
r structure to work with. In this talk we will define the notion of a tria
ngulated category\, wherein distinguished triangles roughly replace the ro
le of short exact sequences. We will see how triangulated categories can b
e broken up into simpler pieces via semi-orthogonal decompositions\, and w
e will discuss semi-orthogonal decompositions for the derived categories o
f projective spaces and blowups.
DTSTART;TZID=America/Los_Angeles:20241009T161500
DTEND;TZID=America/Los_Angeles:20241009T171500
LAST-MODIFIED:20241004T053422Z
LOCATION:CMU 230
SEQUENCE:543
SUMMARY:: Students Algebraic Geometry Seminar nbsp Triangle Power
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-09/students-algebraic-geomet
ry-seminar-nbsp-triangle-power
END:VEVENT
BEGIN:VEVENT
UID:11cc1862-3d9c-451f-8baa-e3e753895a79
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241009T224315Z
DESCRIPTION:Speaker: Ryan Bushling\, Linhang Huang\, Jack Kendrick\, Garret
t Mulcahy\, Sebastian Munoz-Thon\, Sean Richardson\, Ignacio Tejeda\n\n5 m
inute research introductions given by graduate students in analysis. All g
raduate students (especially first and second years) are welcome!
DTSTART;TZID=America/Los_Angeles:20241010T123000
DTEND;TZID=America/Los_Angeles:20241010T133000
LAST-MODIFIED:20241009T224623Z
LOCATION:PDL C-401
SEQUENCE:544
SUMMARY:: GSAS Lightning Talks
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-10/gsas-lightning-talks
END:VEVENT
BEGIN:VEVENT
UID:6114b209-603c-4a14-b648-3225ec2c642e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241007T224937Z
DESCRIPTION:Speaker: Sándor Kovács\n\nWe will explore how higher dimensiona
l (algebraic) geometry can help us understand plane curves better.
DTSTART;TZID=America/Los_Angeles:20241010T163000
DTEND;TZID=America/Los_Angeles:20241010T180000
LAST-MODIFIED:20241007T232417Z
LOCATION:PDL C-038
SEQUENCE:545
SUMMARY:: Conics and Cubics
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-10/conics-and-cubics
END:VEVENT
BEGIN:VEVENT
UID:d2a2614f-1b00-4d95-b923-7aca8994a95e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241008T201625Z
DESCRIPTION:Speaker: Linhang Huang\n\nIn this talk\, I will introduce a pro
babilistic object called the continuum random tree (CRT). We will talk abo
ut how gluing two such trees together can help us model the quantum gravit
y in 2D. We will go through the definition of these random trees as well a
s their associated random process—Brownian excursion. Using the techniques
from probability and topology\, we will show why the gluing process of tw
o CRTs produces a topological 2-sphere.
DTSTART;TZID=America/Los_Angeles:20241011T143000
DTEND;TZID=America/Los_Angeles:20241011T153000
LAST-MODIFIED:20241008T201744Z
LOCATION:PDL C-401
SEQUENCE:546
SUMMARY:: Back To School Seminar Mating of Continuum Random Trees
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-11/back-school-seminar-matin
g-continuum-random-trees
END:VEVENT
BEGIN:VEVENT
UID:9f4a2ad1-81ef-48b5-92ec-ea29c7e19778
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240927T224830Z
DESCRIPTION:Speaker: Kesav Krishnan\, University of Victoria\n\nThe Monomer
-Dimer model is a Gibbs measure defined on the space of matchings (not nec
essarily perfect) on a graph. This talk will concerned the disordered vers
ion of this problem with additional environmental randomness\, the weights
of the matchings are themselves random variables. The ground state of the
model is a measure concentrated on matchings of minimal energy\, in other
words the Gibbs measure at zero temperature. In this talk\, I will introd
uce the model on the discrete torus. In joint work with Gourab Ray\, we es
tablish the uniqueness in limit of the ground state as the lattice size te
nds to infinity. This involves certain ergodic theoretic tools such as the
Burton Keane argument. We use this uniqueness to establish a central limi
t theorem for the ground state energy by applying Chatterjee’s powerful me
thod of normal approximation.
DTSTART;TZID=America/Los_Angeles:20241014T143000
DTEND;TZID=America/Los_Angeles:20241014T153000
LAST-MODIFIED:20240927T224830Z
LOCATION:SMI 405
SEQUENCE:547
SUMMARY:: Uniqueness and CLT for the ground state Disordered Monomer Dimer
Model on mathbb Z d
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-14/uniqueness-and-clt-ground
-state-disordered-monomer-dimer-model-mathbb-z-d
END:VEVENT
BEGIN:VEVENT
UID:031ca792-bce1-4990-808a-6f7072f0d52b
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241009T043532Z
DESCRIPTION:Speaker: Lena Ji (UIUC)\n\n\n\n\n\nTitle preseminar: Rationalit
y of varieties over non-closed fields\n\nAbstract preseminar: An algebraic
variety over a field k is said to be k-rational if it admits a birational
map to projective space over k. Determining the rationality of a variety
is a classical problem\, especially when k is the complex numbers. When th
e field k is not algebraically closed\, there are additional consideration
s in the rationality problem\, coming from the arithmetic of k. In this ta
lk\, we'll present examples of rational and non-rational varieties\, and w
e'll see some obstructions to rationality.\n\n \n\nTitle seminar: Rational
ity problems for linear spaces on pencils of quadrics\n\nAbstract seminar:
The linear spaces contained in the base locus of a pencil of quadrics enc
ode a lot of interesting geometry. For pencils of even-dimensional quadric
s\, there is a deep relationship between these linear spaces and hyperelli
ptic curves\, dating back to Weil. This has found numerous applications\,
e.g. to rational points and to moduli spaces of sheaves on curves. In this
talk\, we study rationality questions for the Fano schemes of these linea
r spaces\, and we generalize some results of Reid\, Colliot-Thélène–Sansuc
–Swinnerton-Dyer\, Hassett–Tschinkel\, Benoist–Wittenberg\, and Hassett–Ko
llár–Tschinkel. This work is joint with Fumiaki Suzuki.\n\n\n\n
DTSTART;TZID=America/Los_Angeles:20241015T133000
DTEND;TZID=America/Los_Angeles:20241015T153000
LAST-MODIFIED:20241009T043532Z
LOCATION:PDL C-38
SEQUENCE:548
SUMMARY:: Rationality problems for linear spaces on pencils of quadrics
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-15/rationality-problems-line
ar-spaces-pencils-quadrics
END:VEVENT
BEGIN:VEVENT
UID:2e6641cc-fe18-4027-b00d-4bc0b34ee4bd
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240924T203835Z
DESCRIPTION:Speaker: Scott Neville\, University of Michigan\n\nAbstract:\n
\nQuivers and their mutations play a fundamental role in the theory of clu
ster algebras. We focus on the problem of deciding whether two given quive
rs are mutation equivalent to each other. Our approach is based on introdu
cing an additional structure of a cyclic ordering on the set of vertices o
f a quiver. This leads to new powerful invariants of quiver mutation. Thes
e invariants can be used to show that various quivers are not mutation acy
clic\, i.e.\, they are not mutation equivalent to an acyclic quiver. This
talk is partially based on joint work with Sergey Fomin [arXiv:2406.03604]
.\n\nNote: This talk begins with a pre-seminar (aimed at graduate students
) at 3:30–4:00. The main talk starts at 4:10.\n\nJoin Zoom Meeting: https:
//washington.zoom.us/j/91547335974\nMeeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20241016T153000
DTEND;TZID=America/Los_Angeles:20241016T170000
LAST-MODIFIED:20240930T235617Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:549
SUMMARY:: Cyclically ordered quivers
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-16/cyclically-ordered-quiver
s
END:VEVENT
BEGIN:VEVENT
UID:355a387b-34fc-40c5-bdbb-355c1d24c75a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241014T175213Z
DESCRIPTION:Speaker: Soham Ghosh\, University of Washington\n\nIn this talk
I will provide a broad overview of the theory of Fourier-Mukai functors b
etween derived categories and their geometric significance. I will also de
scribe the Fourier-Mukai theory for abelian varieties\, which will provid
e a concrete example of non-isomorphic but derived equivalent varieties.
DTSTART;TZID=America/Los_Angeles:20241016T161500
DTEND;TZID=America/Los_Angeles:20241016T171500
LAST-MODIFIED:20241014T175236Z
LOCATION:CMU 230
SEQUENCE:550
SUMMARY:: Students Algebraic Geometry Seminar nbsp Fourier Mukai transforma
tions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-16/students-algebraic-geomet
ry-seminar-nbsp-fourier-mukai-transformations
END:VEVENT
BEGIN:VEVENT
UID:ba173cae-2526-4cec-8835-757b7254a697
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20241013T235144Z
DESCRIPTION:Speaker: Garrett Mulcahy\, University of Washington\n\nThis tal
k will present a novel discretization scheme for Wasserstein gradient flow
s (i.e. curves of steepest descent for functions of probability measures)
based on the successive computation of Schr\'{o}dinger bridges with equal
marginals. Little background is assumed: just a little bit of measure theo
ry. This talk will begin with a leisurely introduction to entropic regular
ized optimal transport\, introducing all the notions essential for underst
anding this scheme. Based on joint work with Soumik Pal\, Medha Agarwal\,
and Zaid Harchaoui. \n\n
DTSTART;TZID=America/Los_Angeles:20241017T123000
DTEND;TZID=America/Los_Angeles:20241017T133000
LAST-MODIFIED:20241013T235903Z
LOCATION:PDL C-401
SEQUENCE:551
SUMMARY:: GSAS Iterated Schr o dinger Bridge Approximation to Wasserstein G
radient Flows nbsp
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-17/gsas-iterated-schr-o-ding
er-bridge-approximation-wasserstein-gradient-flows-nbsp
END:VEVENT
BEGIN:VEVENT
UID:b06b4afd-2199-462a-8fe4-d29c1bc1f18a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241007T232242Z
DESCRIPTION:Speaker: Gabriel Paternain\n\nGeodesic X-ray transforms extend
the classical Radon transform in the plane\, which involves integrating a
function along straight lines—a concept fundamental to the mathematics beh
ind CT scans. In this talk\, I will provide a broad introduction to these
transforms\, highlighting their significance and widespread applications i
n geometry\, dynamical systems\, and inverse problems.
DTSTART;TZID=America/Los_Angeles:20241017T163000
DTEND;TZID=America/Los_Angeles:20241017T180000
LAST-MODIFIED:20241007T232344Z
LOCATION:PDL C-038
SEQUENCE:552
SUMMARY:: Geodesic X ray transforms
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-17/geodesic-x-ray-transforms
END:VEVENT
BEGIN:VEVENT
UID:dabfdcb5-aa52-4289-9521-c93ece14c147
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241016T210500Z
DESCRIPTION:Speaker: Isaiah Siegl\n\nA matrix is totally non-negative (TNN)
if all of the determinants of square submatrices are non-negative. Lindst
rom's lemma gives a correspondence between TNN matrices and graphs that ca
n be drawn in a disc\, with minors of the matrix corresponding to collecti
ons of non-intersecting paths in the graph. I will show how Lindstrom's le
mma can be used to give inequalities on the coefficients of polynomials wi
th negative real roots. These inequalities then give Schur-positivity resu
lts for symmetric functions obtained from polynomials with negative real r
oots.
DTSTART;TZID=America/Los_Angeles:20241018T143000
DTEND;TZID=America/Los_Angeles:20241018T153000
LAST-MODIFIED:20241016T210500Z
LOCATION:PDL C-401
SEQUENCE:553
SUMMARY:: Back To School seminar nbsp Non Intersecting Paths and Real Roote
d Polynomials
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-18/back-school-seminar-nbsp-
non-intersecting-paths-and-real-rooted-polynomials
END:VEVENT
BEGIN:VEVENT
UID:445af049-8d41-4f96-9926-a8b4166f7013
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20240920T202318Z
DESCRIPTION:Speaker: Thomas Rothvoss\, University of Washington\n\nIn a sem
inal paper\, Kannan and Lovász (1988) considered a quantity \$µ_{KL}(\Lamb
da\,K)\$ which denotes the best volume-based lower bound on the covering r
adius \$µ(\Lambda\,K)\$ of a convex body \$K\$ with respect to a lattice \
$\Lambda\$. Kannan and Lovász proved that \$µ(\Lambda\,K) \leq n \cdot µ_{
KL}(\Lambda\,K)\$ and the Subspace Flatness Conjecture by Dadush (2012) cl
aims a \$O(\log n)\$ factor suffices\, which would match the lower bound f
rom the work of Kannan and Lovász.\n\nWe settle this conjecture up to a co
nstant in the exponent by proving that \$µ(\Lambda\,K) \leq O(\log^{3}(n)
) \cdot µ_{KL} (\Lambda\,K)\$. Our proof is based on the Reverse Minkowski
Theorem due to Regev and Stephens-Davidowitz (2017). Following the work o
f Dadush (2012\, 2019)\, we obtain a \$(\log n)^{O(n)}\$-time randomized a
lgorithm to solve integer programs in \$n\$ variables. Another implication
of our main result is a near-optimal flatness constant of \$O(n \log^{3}(
n))\$.\n \nThis is joint work with Victor Reis.
DTSTART;TZID=America/Los_Angeles:20241018T153000
DTEND;TZID=America/Los_Angeles:20241018T163000
LAST-MODIFIED:20241014T205604Z
LOCATION:ECE 125
SEQUENCE:554
SUMMARY:: The Subspace Flatness Conjecture and Faster Integer Programming
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-18/subspace-flatness-conject
ure-and-faster-integer-programming
END:VEVENT
BEGIN:VEVENT
UID:4f422ac5-57f2-48d0-88b8-203d4b092b3e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241008T233617Z
DESCRIPTION:Speaker: Fang Han\, University of Washington\n\nIn this talk\,
the speaker will provide an overview of the recent progress made in explor
ing Sourav Chatterjee's newly introduced rank correlation. The objective i
s to elaborate on its practical utility and present several new findings p
ertaining to (a) the asymptotic normality and limiting variance of Chatter
jee's rank correlation\, (b) its statistical efficiency for testing indepe
ndence\, and (c) the issue of its bootstrap inconsistency. Notably\, the p
resentation will reveal that Chatterjee's rank correlation is root-n consi
stent\, asymptotically normal\, but bootstrap inconsistent - a rare phenom
enon in the literature.
DTSTART;TZID=America/Los_Angeles:20241021T143000
DTEND;TZID=America/Los_Angeles:20241021T153000
LAST-MODIFIED:20241015T235127Z
LOCATION:SMI 405
SEQUENCE:555
SUMMARY:: Chatterjee s rank nbsp correlation what is new
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-21/chatterjee-s-rank-nbsp-co
rrelation-what-new
END:VEVENT
BEGIN:VEVENT
UID:0e08c045-5352-456a-89d3-14497a3b9e41
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240925T210743Z
DESCRIPTION:Speaker: Friedrich Eisenbrand\, EPFL\n\nThe sum of square roots
is the following problem: Given x1\, ...\, xn ∈ ℤ and a1\, ...\, an ∈ ℕ d
ecide whether E = x1 √a1 + … + xn √an ≥ 0 It is a prominent open problem (
Problem 33 of the Open Problems Project)\, whether this can be decided in
polynomial time. The state-of-the-art methods rely on separation bounds\,
which are lower bounds on the minimum nonzero absolute value of the expres
sion E. The current best lower bounds shows that doubly exponentially smal
l (in n and the binary encoding lengths of the involved numbers). We provi
de a new bound of the form |E| ≥ γ ⋅ (n ⋅ maxi |xi|)-2n where γ is a const
ant depending on a1\, ...\, an. This is singly exponential in n for fixed
a1\, ...\, an. The constant γ is not explicit and stems from the subspace
theorem\, a deep result in the geometry of numbers. Joint work with Matthi
eu Haeberle and Neta Singer.
DTSTART;TZID=America/Los_Angeles:20241021T153000
DTEND;TZID=America/Los_Angeles:20241021T163000
LAST-MODIFIED:20241009T180117Z
LOCATION:CSE2 371
SEQUENCE:556
SUMMARY:: An improved bound on sums of square roots via the subspace theore
m
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-21/improved-bound-sums-squar
e-roots-subspace-theorem
END:VEVENT
BEGIN:VEVENT
UID:49d3e05c-8cb3-4556-b381-3c58cbb498f9
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241016T040018Z
DESCRIPTION:Speaker: Wanlin Li\, Washington University in St. Louis \n\nThe
Ceresa cycle and the Gross—Kudla—Schoen modified diagonal cycle are algeb
raic 1-cycles associated to a smooth algebraic curve. They are algebraical
ly trivial for a hyperelliptic curve and non-trivial for a very general co
mplex curve of genus >2. Given an algebraic curve\, it is an interesting q
uestion to study whether the Ceresa and GKS cycles associated to it are ra
tionally or algebraically trivial. In this talk\, I will discuss some meth
ods and tools to study this problem.
DTSTART;TZID=America/Los_Angeles:20241022T110000
DTEND;TZID=America/Los_Angeles:20241022T115000
LAST-MODIFIED:20241016T040018Z
LOCATION:PDL C-401
SEQUENCE:557
SUMMARY:: Non vanishing of Ceresa and Gross Kudla Schoen cycles
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-22/non-vanishing-ceresa-and-
gross-kudla-schoen-cycles
END:VEVENT
BEGIN:VEVENT
UID:135b306d-7146-40c4-bf9f-29212e210a83
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241017T222430Z
DESCRIPTION:Speaker: Wern Yeong (UCLA)\n\n\n\n\n\nPre-seminar\n\nTitle: Not
ions of hyperbolicity for complex algebraic varieties\n\nAbstract: Riemann
surfaces can be classified as either parabolic\, elliptic\, or hyperbolic
. In this pre-seminar\, we motivate and introduce several notions of hyper
bolicity for complex algebraic varieties of any dimension\, e.g. Brody hyp
erbolicity and log algebraic hyperbolicity\, and discuss some examples and
non-examples.\n\n \n\nSeminar\n\nTitle: Hyperbolicity of the complement o
f generic quartic plane curves\n\nAbstract: A complex algebraic variety is
said to be Brody hyperbolic if it contains no entire curves\, which are n
on-constant holomorphic images of the complex line. It is conjectured that
varieties of (log) general type are hyperbolic outside of a proper subvar
iety called an exceptional locus. The case of quartic plane curves has dra
wn interest for decades. In two collaborations (with X. Chen and E. Riedl\
, and with K. Ascher and A. Turchet)\, we prove an algebraic version of th
is conjecture for the complement of a very general quartic plane curve wit
h <=2 components. Moreover\, we completely characterize the exceptional lo
cus for the complement of a very general irreducible quartic plane curve\,
identifying it as the union of its flex and bitangent lines.\n\n\n\n
DTSTART;TZID=America/Los_Angeles:20241022T133000
DTEND;TZID=America/Los_Angeles:20241022T153000
LAST-MODIFIED:20241017T222430Z
LOCATION:PDL C-38
SEQUENCE:558
SUMMARY:: Hyperbolicity of the complement of generic quartic plane curves
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-22/hyperbolicity-complement-
generic-quartic-plane-curves
X-ALT-DESC;FMTTYPE=TEXT/HTML:Speaker: Wern Yeong (UCLA) Pre-seminar Title:
Notions of hyperbolicity for complex algebraic varieties Abstract: Riemann
surfaces can be classified as either parabolic\, elliptic\, or hyperbolic
. In this pre-seminar\, we motivate and introduce several notions of hyper
bolicity for complex algebraic varieties of any dimension\, e.g. Brody hyp
erbolicity and log algebraic hyperbolicity\, and discuss some examples and
non-examples. Seminar Title: Hyperbolicity of the complement of generic
quartic plane curves Abstract: A complex algebraic variety is said to be
Brody hyperbolic if it contains no entire curves\, which are non-constant
holomorphic images of the complex line. It is conjectured that varieties o
f (log) general type are hyperbolic outside of a proper subvariety called
an exceptional locus. The case of quartic plane curves has drawn interest
for decades. In two collaborations (with X. Chen and E. Riedl\, and with K
. Ascher and A. Turchet)\, we prove an algebraic version of this conjectur
e for the complement of a very general quartic plane curve with <=2 compon
ents. Moreover\, we completely characterize the exceptional locus for the
complement of a very general irreducible quartic plane curve\, identifying
it as the union of its flex and bitangent lines.
END:VEVENT
BEGIN:VEVENT
UID:a9f59df9-cd8d-46a9-ba65-0814c80d08bf
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240926T192021Z
DESCRIPTION:Speaker: Joseph Fluegemann\, Cornell University\n\nAbstract:\n
\nWe consider the Grassmannian \$Gr_{\mathbb C}(k\,n)\$\, a manifold param
eterized by \$k\$-dimensional planes in complex \$n\$-dimensional space. T
he Schubert decomposition of the Grassmannian is perhaps the classic way t
o split this space into smaller pieces. Positroid varieties provide a fine
r stratification of this space\, combinatorially indexed by a special type
of permutation called a bounded affine permutation. We can draw these bou
nded affine permutations using diagrams called affine pipe dreams. We will
show that the number of such diagrams is actually connected to the questi
on of whether certain points of these positroid varieties are smooth or si
ngular. The proof uses the AJS/Billey formula. We further give a character
ization of an affine pipe dream that corresponds to a smooth point\, and t
his characterization can also be applied to study smoothness of Schubert v
arieties. In fact\, if we consider the pairs (Positroid Variety\, Point)\,
we can put a partial ordering on all the pairs\, and study smoothness in
the context of this ordering.\n\nNote: This talk begins with a pre-seminar
(aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.
\n\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974\nMeeting I
D: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20241023T153000
DTEND;TZID=America/Los_Angeles:20241023T170000
LAST-MODIFIED:20240930T044728Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:559
SUMMARY:: Smooth Points on Positroid Varieties
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-23/smooth-points-positroid-v
arieties
END:VEVENT
BEGIN:VEVENT
UID:5cea7193-f934-47e4-b4d6-5ee21f0742c2
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241018T090311Z
DESCRIPTION:Speaker: Arkamouli Debnath\, University of Washington \n\nNow t
hat we have seen the basics of derived and triangulated categories in the
previous lectures of the seminar\, we shall move ahead with using these to
understand the geometry of our schemes in context. One of the most import
ant tools for this is what is called an exceptional object. Exceptional ob
jects and semiorthogonal decomposition help us find smaller pieces in our
triangulated categories which act as building blocks. They can also detect
various properties of a scheme such as whether it is Fano or what its gen
us is if it is a curve etc. \nTime permitting I will show the explicit sem
i orthogonal decomposition of the bounded derived category of projective s
pace.
DTSTART;TZID=America/Los_Angeles:20241023T161500
DTEND;TZID=America/Los_Angeles:20241023T171500
LAST-MODIFIED:20241018T090311Z
LOCATION:CMU 230
SEQUENCE:560
SUMMARY:: Students Algebraic Geometry Seminar Exceptional Objects and Semi
Orthogonal Decomposition
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-23/students-algebraic-geomet
ry-seminar-exceptional-objects-and-semi-orthogonal
END:VEVENT
BEGIN:VEVENT
UID:b2d7ee34-dc8e-4aba-b35c-1f0db760808f
DTSTAMP:20241102T084548Z
CATEGORIES:Student Activities
CLASS:PUBLIC
CREATED:20241021T050920Z
DESCRIPTION:Speaker: Linhang Huang\, University of Washington\n\nDendrite (
tree-like) Julia sets represent an important family of Julia sets correspo
nding to the boundary of the Mandelbrot set. It is well-known that this fa
mily can be parametrized using the unit circle. In this talk\, I will show
how to translate geometric problems associated with Julia sets into more
trackable combinatorial criteria for points on the unit circle. In doing s
o\, we are able to conclude some specific geometric properties for dendrit
e Julia sets.
DTSTART;TZID=America/Los_Angeles:20241024T123000
DTEND;TZID=America/Los_Angeles:20241024T133000
LAST-MODIFIED:20241021T051041Z
LOCATION:PDL C-401
SEQUENCE:561
SUMMARY:: GSAS nbsp Combinatoric Conditions for the Geometry of Julia Sets
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-24/gsas-nbsp-combinatoric-co
nditions-geometry-julia-sets
END:VEVENT
BEGIN:VEVENT
UID:0551723c-3ce2-461b-a932-3d705a2db4f7
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20241021T215607Z
DESCRIPTION:Speaker: Jackson Morris\n\nAdvisor: John Palmieri
DTSTART;TZID=America/Los_Angeles:20241024T143000
DTEND;TZID=America/Los_Angeles:20241024T153000
LAST-MODIFIED:20241021T215720Z
LOCATION:PDL C-401
SEQUENCE:562
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-24/general-exam
END:VEVENT
BEGIN:VEVENT
UID:d3ccb648-3f3c-4574-8367-0283d023f417
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241018T212535Z
DESCRIPTION:Speaker: Dan Mikulincer\n\nThe talk will introduce some statist
ical problems with a high-dimensional flavor. We will then explain how to
approach such problems by finding universal sources of randomness. The pro
blems we shall care about include on one hand detecting geometry in random
geometry graphs and on the other hand approximation of random neural netw
orks.
DTSTART;TZID=America/Los_Angeles:20241024T163000
DTEND;TZID=America/Los_Angeles:20241024T180000
LAST-MODIFIED:20241018T212535Z
LOCATION:PDL C-038
SEQUENCE:563
SUMMARY:: Universality in high dimensional probability
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-24/universality-high-dimensi
onal-probability
END:VEVENT
BEGIN:VEVENT
UID:54381645-2531-484e-b373-205e72c96635
DTSTAMP:20241102T084548Z
CATEGORIES:Meetings\, Seminars
CLASS:PUBLIC
CREATED:20241014T213458Z
DESCRIPTION:The Twenty Fourth Northwest Probability Seminar is a mini-confe
rence held at the University of Washington and organized with the support
of the University of Oregon\, Oregon State University\, Pacific Institute
for the Mathematical Sciences (PIMS)\, Baidu\, University of Washington (F
riends of Mathematics Fund)\, and the Milliman Fund.\n\nThe Scientific Com
mittee for the NW Probability Seminar 2023 consists of Omer Angel (U Briti
sh Columbia)\, Chris Burdzy (U Washington)\, Zhenqing Chen (U Washington)\
, David Levin (U Oregon) and Axel Saenz Rodríguez (Oregon State U).\n\nFul
l schedule on the Pacific Northwest Probability Seminar website.\n\n
DTSTART;TZID=America/Los_Angeles:20241026T100000
DTEND;TZID=America/Los_Angeles:20241026T172000
LAST-MODIFIED:20241014T215016Z
LOCATION:Mary Gates Hall 241
SEQUENCE:564
SUMMARY:: The Twenty Fourth Northwest Probability Seminar
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-26/twenty-fourth-northwest-p
robability-seminar
END:VEVENT
BEGIN:VEVENT
UID:99fff2f1-0e60-489c-9cab-69a2be1ce673
DTSTAMP:20241102T084548Z
CATEGORIES:Academic Calendar\, Seminars
CLASS:PUBLIC
CREATED:20241025T151239Z
DESCRIPTION:Speaker: Alex Wang\n\nWhen looking for rational points on varie
ties\, we can often disprove the existence of solutions by checking variou
s positivity or modular arithmetic conditions. However\, even if we pass
all of these checks\, we could still fail to have rational points! In this
talk\, we'll explore the Brauer-Manin obstruction as a way to explain the
absence of rational points. We'll also discuss my ongoing project to pro
ve the local-to-global principle of certain special del Pezzo surfaces of
degree 2.
DTSTART;TZID=America/Los_Angeles:20241026T143000
DTEND;TZID=America/Los_Angeles:20241026T153000
LAST-MODIFIED:20241025T151522Z
LOCATION:PDL C-401
SEQUENCE:565
SUMMARY:: Back To School Seminar The Brauer Manin obstruction on del Pezzo
surfaces of degree 2
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-26/back-school-seminar-braue
r-manin-obstruction-del-pezzo-surfaces-degree-2
END:VEVENT
BEGIN:VEVENT
UID:9f0e88fe-9ea0-4251-b923-6274af15b32a
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241004T204858Z
DESCRIPTION:Speaker: Donald Stull (University of Chicago)\n\n In the first
part of this talk\, we introduce the algorithmic techniques that have rece
ntly been used in several areas of geometric measure theory. In particular
\, we will introduce the concepts of Kolmogorov complexity and effective d
imension. We will describe the 'point-to-set principle'\, which relates th
e algorithmic theory with Hausdorff dimension. \n\nIn the second part of t
his talk\, we discuss a recent application of the algorithmic techniques t
o projection theorems in geometric measure theory. Marstrand’s projection
theorem states that\, for any analytic \, for almost every direction \, th
e Hausdorff dimension of the orthogonal projection of onto \, \, is maxim
al. A natural question is whether there are non-trivial subsets of directi
ons that work for every (analytic) set . We call such a set of directions
universal. Surprisingly\, universal sets exist. We prove the existence of
universal sets using techniques from computability theory\, and\, in parti
cular\, effective dimension. This is joint work with Jacob Fiedler.
DTSTART;TZID=America/Los_Angeles:20241029T133000
DTEND;TZID=America/Los_Angeles:20241029T153000
LAST-MODIFIED:20241022T235012Z
LOCATION:PDL C-401
SEQUENCE:566
SUMMARY:: Algorithmic methods in geometric measure theory
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-29/algorithmic-methods-geome
tric-measure-theory
END:VEVENT
BEGIN:VEVENT
UID:5b4cdef2-593c-40f4-b55a-f3f1cd9ec646
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240924T203934Z
DESCRIPTION:Speaker: Elena Hafner\, University of Washington\n\nAbstract:\n
\nThe central question of knot theory is that of distinguishing links up t
o isotopy. The first polynomial invariant of links devised to help answer
this question was the Alexander polynomial (1928). Almost a century afte
r its introduction\, it still presents us with tantalizing problems\, such
as Fox's conjecture (1962) that the absolute values of the coefficients o
f the Alexander polynomial \$\Delta_L(t)\$ of an alternating link \$L\$ ar
e unimodal. Fox's conjecture remains open in general with special cases s
ettled by Hartley (1979) for two-bridged knots\, by Murasugi (1985) for a
family of alternating algebraic links\, and by Ozsv\'ath and Szab\'o (2003
) for the case of genus 2 alternating knots\, among others. We settle Fox
's conjecture for special alternating links. We do so by proving that a c
ertain multivariate generalization of the Alexander polynomial of special
alternating links is Lorentzian. As a consequence\, we obtain that the ab
solute values of the coefficients of \$\Delta_L(t)\$\, where \$L\$ is a sp
ecial alternating link\, form a log-concave sequence with no internal zero
s. In particular\, they are unimodal. This talk is based on joint work w
ith Karola Mészáros and Alex Vidinas.\n\nNote: This talk begins with a pre
-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts a
t 4:10.\n\nJoin Zoom Meeting: https://washington.zoom.us/j/91547335974\nMe
eting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20241030T153000
DTEND;TZID=America/Los_Angeles:20241030T170000
LAST-MODIFIED:20241011T000405Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:567
SUMMARY:: Log Concavity of the Alexander Polynomial for Special Alternating
Links
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-30/log-concavity-alexander-p
olynomial-special-alternating-links
END:VEVENT
BEGIN:VEVENT
UID:a67a06fc-5086-4ba6-b5d3-963cfd7d3e9e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241024T071651Z
DESCRIPTION:Speaker: Ting Gong\, University of Washington \n\nWe are going
to give definition of the twisted derived categories\, tie it to the study
of Brauer group and Hodge theory\, which\, just like derived categories\,
captures intrinsic properties of the base scheme. We state results of see
king a twisted derived Torelli theorem.
DTSTART;TZID=America/Los_Angeles:20241030T161500
DTEND;TZID=America/Los_Angeles:20241030T171500
LAST-MODIFIED:20241024T071709Z
LOCATION:CMU 230
SEQUENCE:568
SUMMARY:: Students Algebraic Geometry Seminar nbsp Brauer group and twisted
derived categories
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-30/students-algebraic-geomet
ry-seminar-nbsp-brauer-group-and-twisted-derived
END:VEVENT
BEGIN:VEVENT
UID:0b3b170e-beee-453b-8c3a-a878f79bf4a8
DTSTAMP:20241102T084548Z
CATEGORIES:Student Activities
CLASS:PUBLIC
CREATED:20241029T212745Z
DESCRIPTION:Speaker: Begoña García Malaxechebarría\n\nWe develop a framewor
k for analyzing the training and learning rate dynamics on a large class o
f high-dimensional optimization problems\, which we call the high line\, t
rained using one-pass stochastic gradient descent (SGD) with adaptive lear
ning rates. We give exact expressions for the risk and learning rate curve
s in terms of a deterministic solution to a system of ODEs. We then invest
igate in detail two adaptive learning rates – an idealized exact line sear
ch and AdaGrad-Norm – on the least squares problem. When the data covarian
ce matrix has strictly positive eigenvalues\, this idealized exact line se
arch strategy can exhibit arbitrarily slower convergence when compared to
the optimal fixed learning rate with SGD. Moreover we exactly characterize
the limiting learning rate (as time goes to infinity) for line search in
the setting where the data covariance has only two distinct eigenvalues. F
or noiseless targets\, we further demonstrate that the AdaGrad-Norm learni
ng rate converges to a deterministic constant inversely proportional to th
e average eigenvalue of the data covariance matrix\, and identify a phase
transition when the covariance density of eigenvalues follows a power law
distribution.
DTSTART;TZID=America/Los_Angeles:20241031T123000
DTEND;TZID=America/Los_Angeles:20241031T133000
LAST-MODIFIED:20241029T212745Z
LOCATION:PDL C-401
SEQUENCE:569
SUMMARY:: GSAS nbsp High Dimensional Limit of SGD Dynamics via a System of
ODEs
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-10-31/gsas-nbsp-high-dimensiona
l-limit-sgd-dynamics-system-odes
END:VEVENT
BEGIN:VEVENT
UID:0bb6aab7-af23-4d85-914a-bb3afb0bcf9e
DTSTAMP:20241102T084548Z
CATEGORIES:Academic Calendar\, Seminars\, Student Activities
CLASS:PUBLIC
CREATED:20241031T004543Z
DESCRIPTION:Speaker: Mal Dolorfino\n\n The fundamental correspondence for G
alois extensions in algebra and Galois covers in topology are nearly ident
ical\, and the similarities between these two theories run deep. In this t
alk\, we explore the deeper connections between Galois extensions and Galo
is covers\, and we use this to motivate the definition of the étale fundam
ental group for algebraic curves.
DTSTART;TZID=America/Los_Angeles:20241101T143000
DTEND;TZID=America/Los_Angeles:20241101T153000
LAST-MODIFIED:20241031T004543Z
LOCATION:PDL C-401
SEQUENCE:570
SUMMARY:: Back to School seminar nbsp Galois groups fundamental groups and
the tale fundamental group
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-01/back-school-seminar-nbsp-
galois-groups-fundamental-groups-and-tale-fundamental
END:VEVENT
BEGIN:VEVENT
UID:9e6393bb-a995-4357-8907-451c08d98cdf
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20240904T203348Z
DESCRIPTION:Speaker: Persi Diaconis\, Stanford University\n\nJoint Colloqui
um with UW Statistics and the Paul G. Allen School of Computer Science & E
ngineering\n\nThe computer is taking over. AND\, in many branches of appli
ed mathematics and statistics we hear 'why bother to prove theorems? simul
ations and numerical approximation are easier and better for real problems
'. NOT SO FAST\;\nI will present a collection of real world examples where
the computer lies and thousands of hours of simulations give persistently
wrong results. On the other hand\, we theorem provers can prove useless\,
irrelevant things that choke off research and really do miss the interest
ing stuff. There is room for both of us\, and there are interesting things
to think about.\n\nA live stream of the talk will be made available one h
our prior to the event.
DTSTART;TZID=America/Los_Angeles:20241101T153000
DTEND;TZID=America/Los_Angeles:20241101T163000
LAST-MODIFIED:20241101T203742Z
LOCATION:Amazon Auditorium (Gates G20)
SEQUENCE:571
SUMMARY:: THE VALUE AND PITFALLS OF PROOF
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-01/value-and-pitfalls-proof
END:VEVENT
BEGIN:VEVENT
UID:ac8eaa59-db59-4980-ab7f-da281dadf330
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241021T175432Z
DESCRIPTION:Speaker: Soumik Pal\, University of Washington\n\nThe Sinkhorn
or the Iterated Proportional Fitting Procedure (IPFP) algorithm is a funda
mental\niterative algorithm with many uses in statistics and other areas o
f applications. For example\, it\ncan be used to approximately compute an
optimal transport coupling between two probability\nmeasures. However\, mu
ch of its behavior is still shrouded in mystery. We will talk about limit
of\nthe iterates\, as the temperature goes to zero\, as an absolutely cont
inuous curve on the\nWasserstein space that has three equivalent descripti
ons. One\, it is a gradient flow of relative\nentropy for a modified Wasse
rstein geometry. Two\, it is the family of marginal distributions of a\nno
vel family of diffusions. And\, three\, the family of measures can be gene
rated by solutions of\nthe parabolic Monge-Ampere PDE. We will introduce t
his novel family of flows and related\nstochastic processes and PDEs and t
alk about their properties including their rates to\nequilibrium.\n\n\nBas
ed on joint work with Nabarun Deb\, Young-Heon Kim and Geoff Schiebinger
DTSTART;TZID=America/Los_Angeles:20241104T143000
DTEND;TZID=America/Los_Angeles:20241104T153000
LAST-MODIFIED:20241021T175432Z
LOCATION:SMI 405
SEQUENCE:572
SUMMARY:: Wasserstein mirror gradient flows and the low temperature limit o
f the Sinkhorn algorithm
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-04/wasserstein-mirror-gradie
nt-flows-and-low-temperature-limit-sinkhorn-algorithm
END:VEVENT
BEGIN:VEVENT
UID:476f75e7-628c-428a-b068-9bbf8550b953
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241031T213727Z
DESCRIPTION:Speaker: Brian Nugent (UW)\n\n\n\n\n\nPre-talk Title: The Picar
d Scheme\n\nAbstract: The set of all line bundles on a variety form a grou
p known as the Picard group. Like with many objects in algebraic geometry\
, the Picard group can be given a scheme structure in which it parametrize
s families of line bundles on X\, this is called the Picard scheme. In thi
s pre-talk\, we will discuss the basic properties of the Picard scheme lik
e its dimension\, smoothness\, connected components\, etc.\n\n \n\nTitle:
Moduli of Very Ample Line Bundles\n\nAbstract: A line bundle is very ample
if the map into projective space that it defines is an embedding. Given t
hat there is a moduli space for all line bundles\, the Picard scheme\, it
is natural to ask if there is a moduli space of very ample line bundles. W
e will discuss some complications that arise from very ampleness not being
a locally closed property and show how we can modify the moduli problem t
o fix this.\n\n \n\n\n\n
DTSTART;TZID=America/Los_Angeles:20241105T133000
DTEND;TZID=America/Los_Angeles:20241105T153000
LAST-MODIFIED:20241031T213727Z
LOCATION:PDL C-38
SEQUENCE:573
SUMMARY:: Moduli of Very Ample Line Bundles
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-05/moduli-very-ample-line-bu
ndles
END:VEVENT
BEGIN:VEVENT
UID:9b1accb1-36a7-4dd5-afff-dfe06a3a6e00
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20240610T223519Z
DESCRIPTION:AGENDA\n\n \n\n\n\n Call to Order\n Chair's Remarks\n Announcement
s\n Committee Reports\n \n Undergraduate Program - Thomas\n Graduate Program -
TBD & Lieblich\n \n \n New Business\n Executive Session\n Adjournment\n\n\n\nZ
oom link - https://washington.zoom.us/j/99265361200\n\n\nMeeting ID: 992 6
536 1200\n\nOne tap mobile\n+12063379723\,\,99265361200# US (Seattle)\n+12
532158782\,\,99265361200# US (Tacoma)
DTSTART;TZID=America/Los_Angeles:20241105T153000
DTEND;TZID=America/Los_Angeles:20241105T163000
LAST-MODIFIED:20241101T181538Z
LOCATION:via Zoom
SEQUENCE:574
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-05/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:1bd28723-e611-452b-867f-987f4eb4b209
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241004T184133Z
DESCRIPTION:Speaker: Jeremy Martin\, University of Kansas\n\nAbstract:\n\nR
ichard Stanley asked in 1995 whether a tree is determined up to isomorphis
m by its chromatic symmetric function. This question remains unanswered a
nd frequently keeps the speaker awake at night. Our approach to understan
ding the strength of the chromatic symmetric function as an invariant is t
o ask what other information is encoded in it. First\, we prove Crew’s co
njecture that the chromatic symmetric function of a tree determines its ge
neralized degree sequence\, which enumerates vertex subsets by cardinality
and the numbers of internal and external edges. Second\, we prove that t
he restriction of the generalized degree sequence to subtrees contains exa
ctly the same information as the subtree polynomial\, which enumerates sub
trees by cardinality and number of leaves. Third\, we construct arbitraril
y large families of trees sharing the same subtree polynomial\, proving an
d generalizing a conjecture of Eisenstat and Gordon. This is joint work w
ith José Aliste-Prieto\, Jennifer Wagner\, and José Zamora.\n\nNote: This
talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00.
The main talk starts at 4:10.\n\nJoin Zoom Meeting: https://washington.zoo
m.us/j/91547335974\nMeeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20241106T153000
DTEND;TZID=America/Los_Angeles:20241106T170000
LAST-MODIFIED:20241027T063551Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:575
SUMMARY:: Chromatic Symmetric Functions and Polynomial Invariants of Trees
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-06/chromatic-symmetric-funct
ions-and-polynomial-invariants-trees
END:VEVENT
BEGIN:VEVENT
UID:47534305-fa7b-419a-8157-288ca7a9bb3e
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241101T201010Z
DESCRIPTION:Speaker: Leopold Mayer\, University of Washington \n\nWe sketch
the proof of Orlov's formula for the derived category of a blowup. We pro
ve a theorem of Kawatani\, Lin\, and Okawa about indecomposibility of deri
ved categories of certain varieties. We give an example of how semiorthogo
nal decompositions do not satisfy the Jordan-Holder property.
DTSTART;TZID=America/Los_Angeles:20241106T161500
DTEND;TZID=America/Los_Angeles:20241106T171500
LAST-MODIFIED:20241101T201219Z
LOCATION:CMU 230
SEQUENCE:576
SUMMARY:: Students Algebraic Geometry Seminar nbsp Structure of Semiorthogo
nal Decompositions
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-06/students-algebraic-geomet
ry-seminar-nbsp-structure-semiorthogonal-decompositions
END:VEVENT
BEGIN:VEVENT
UID:500ecfa3-8649-4c80-87f1-633ce4ca63fd
DTSTAMP:20241102T084548Z
CATEGORIES:Information Sessions
CLASS:PUBLIC
CREATED:20241008T154023Z
DESCRIPTION:Speaker: Giovanni Inchiostro (and possibly others)\n\nThis even
t is aimed at graduate students who are entering the research-focused phas
e of the PhD program. We will share our experiences on how to transition i
nto research and the role and choice of an advisor. We will discuss how to
use your research time effectively and how to prepare for the general exa
m and the thesis defense. This talk will focus on general advice and encou
ragement. All are welcome to attend\, ask questions\, and share their expe
riences.\n\nThis event is cross listed with the Current Topics Seminar.
DTSTART;TZID=America/Los_Angeles:20241107T163000
DTEND;TZID=America/Los_Angeles:20241107T173000
LAST-MODIFIED:20241008T154236Z
LOCATION:PDL C-38
SEQUENCE:577
SUMMARY:: Transition into Research
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-07/transition-research
END:VEVENT
BEGIN:VEVENT
UID:eded8709-f908-4567-b87d-a827db69b03f
DTSTAMP:20241102T084548Z
CATEGORIES:General Exam
CLASS:PUBLIC
CREATED:20241028T213716Z
DESCRIPTION:Speaker: Begoña García Malaxechebarría\n\nAdvisor: Dima Drusvya
tskiy
DTSTART;TZID=America/Los_Angeles:20241108T110000
DTEND;TZID=America/Los_Angeles:20241108T120000
LAST-MODIFIED:20241028T213822Z
LOCATION:Clark Hall\, CLK 120
SEQUENCE:578
SUMMARY:: General Exam
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-08/general-exam
END:VEVENT
BEGIN:VEVENT
UID:7379d17c-617b-4c80-8703-d7c998e83bb1
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20241023T024441Z
DESCRIPTION:Speaker: Adrian KC Lee\n\nIn this talk\, I will describe how my
mathematical upbringing has prepared for my work in the fields of enginee
ring and neuroscience\, while lamenting on the mathematical topics that I
wish I had learned.
DTSTART;TZID=America/Los_Angeles:20241108T153000
DTEND;TZID=America/Los_Angeles:20241108T170000
LAST-MODIFIED:20241023T033227Z
LOCATION:ECE 125
SEQUENCE:579
SUMMARY:: Y Math Y Math Y Math
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-08/y-math-y-math-y-math
END:VEVENT
BEGIN:VEVENT
UID:06486bf8-55e8-409e-9069-efc293a5853d
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240924T204057Z
DESCRIPTION:Speaker: Foster Tom\, Massachusetts Institute of Technology\n\n
Abstract:\n\nWe prove a new signed elementary symmetric function expansion
of the chromatic symmetric function. We then use sign-reversing involutio
ns to prove \$e\$-positivity for graphs formed by joining cycles or clique
s at single vertices. By considering connected partitions\, we prove non-\
$e\$-positivity for all trees that have either a vertex of degree at least
five\, or a vertex of degree four that is not adjacent to a leaf. We also
prove that spiders with four legs are not \$e\$-positive.\n\nNote: This t
alk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. T
he main talk starts at 4:10.\n\nJoin Zoom Meeting: https://washington.zoom
.us/j/91547335974\nMeeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20241113T153000
DTEND;TZID=America/Los_Angeles:20241113T170000
LAST-MODIFIED:20241017T220425Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:580
SUMMARY:: On e positivity of the chromatic symmetric function
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-13/e-positivity-chromatic-sy
mmetric-function
END:VEVENT
BEGIN:VEVENT
UID:e9d9c112-d30e-430b-981d-2ecb7ee9f648
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20240904T210607Z
DESCRIPTION:: TBA\n\nECE 125\nColloquia\nhttps://math.washington.edu/events
/2024-11-15/tba
DTSTART;TZID=America/Los_Angeles:20241115T153000
DTEND;TZID=America/Los_Angeles:20241115T163000
LAST-MODIFIED:20241014T205635Z
LOCATION:ECE 125
SEQUENCE:581
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-15/tba
END:VEVENT
BEGIN:VEVENT
UID:f4998ab8-0452-42a8-9e8b-54d3a46b5720
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241030T161458Z
DESCRIPTION:Speaker: Ritwik Sadhu\, University of Washington\n\nIn this tal
k\, we will explore statistical inference for the optimal transport (OT) m
ap (also known as the Brenier map) from a known absolutely continuous refe
rence distribution onto an unknown finitely discrete target distribution.
This includes limit distributions for the \$L^p\$-error with arbitrary \$p
\in [1\,\infty)\$ and for linear functionals of the empirical OT map\, to
gether with their moment convergence\, and consistency of the nonparametri
c bootstrap. The derivation of our limit theorems relies on new stability
estimates of functionals of the OT map with respect to the dual potential
vector\, which may be of independent interest. I will discuss applications
of our limit theorems to the construction of confidence sets for the OT m
ap and inference for a maximum tail correlation. Connections to the entrop
ic optimal transport problem (EOT) in the semi-discrete will also be explo
red.\n\n
DTSTART;TZID=America/Los_Angeles:20241118T143000
DTEND;TZID=America/Los_Angeles:20241118T153000
LAST-MODIFIED:20241030T161458Z
LOCATION:SMI 405
SEQUENCE:582
SUMMARY:: Stability and statistical inference for semi discrete optimal tra
nsport
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-18/stability-and-statistical
-inference-semi-discrete-optimal-transport
END:VEVENT
BEGIN:VEVENT
UID:83430064-c911-4649-9f9a-f2f3f35e7519
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241003T201851Z
DESCRIPTION:Speaker: Spencer Daugherty\, University of Colorado Boulder\n\n
Abstract:\n\nTBA\n\nNote: This talk begins with a pre-seminar (aimed at gr
aduate students) at 3:30–4:00. The main talk starts at 4:10.\n\nJoin Zoom
Meeting: https://washington.zoom.us/j/91547335974\nMeeting ID: 915 4733 59
74
DTSTART;TZID=America/Los_Angeles:20241120T153000
DTEND;TZID=America/Los_Angeles:20241120T170000
LAST-MODIFIED:20241003T201850Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:583
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-20/tba
END:VEVENT
BEGIN:VEVENT
UID:9251b88e-e393-4462-8c3d-25be52f63463
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240925T211212Z
DESCRIPTION:: TBA\n\nCSE2 G01 (Gates Center)\nSeminars\nhttps://math.washin
gton.edu/events/2024-11-25/tba
DTSTART;TZID=America/Los_Angeles:20241125T153000
DTEND;TZID=America/Los_Angeles:20241125T163000
LAST-MODIFIED:20241009T180404Z
LOCATION:CSE2 G01 (Gates Center)
SEQUENCE:584
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-11-25/tba
END:VEVENT
BEGIN:VEVENT
UID:598b64f2-1cf7-4802-8b7c-97ab97765439
DTSTAMP:20241102T084548Z
CATEGORIES:Faculty Meetings
CLASS:PUBLIC
CREATED:20240610T223535Z
DESCRIPTION:AGENDA\n\n\n\nCall to Order\nChair's Remarks\nAnnouncements\nCo
mmittee Reports\nNew Business\nExecutive Session\nAdjournment\n\n\nZoom li
nk - https://washington.zoom.us/j/99265361200\nMeeting ID: 992 6536 1200\n
One tap mobile+12063379723\,\,99265361200# US (Seattle)+12532158782\,\,992
65361200# US (Tacoma)
DTSTART;TZID=America/Los_Angeles:20241203T153000
DTEND;TZID=America/Los_Angeles:20241203T163000
LAST-MODIFIED:20240610T223535Z
LOCATION:via Zoom
SEQUENCE:585
SUMMARY:: Faculty Meeting
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-12-03/faculty-meeting
END:VEVENT
BEGIN:VEVENT
UID:f50981ae-e1fd-4dfb-b2bf-ecb84b898906
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240924T204235Z
DESCRIPTION:Speaker: Changxin Ding\, Georgia Institute of Technology\n\nAbs
tract:\n\nTBA\n\nNote: This talk begins with a pre-seminar (aimed at gradu
ate students) at 3:30–4:00. The main talk starts at 4:10.\n\nJoin Zoom Mee
ting: https://washington.zoom.us/j/91547335974\nMeeting ID: 915 4733 5974
DTSTART;TZID=America/Los_Angeles:20241204T153000
DTEND;TZID=America/Los_Angeles:20241204T170000
LAST-MODIFIED:20240924T204344Z
LOCATION:PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335
974
SEQUENCE:586
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-12-04/tba
END:VEVENT
BEGIN:VEVENT
UID:46c36701-0a1f-416d-a8cb-78623872d1ec
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241015T173720Z
DESCRIPTION:: TBD\n\nPDL C-038\nSeminars\nhttps://math.washington.edu/event
s/2024-12-11/tbd
DTSTART;TZID=America/Los_Angeles:20241211T160000
DTEND;TZID=America/Los_Angeles:20241211T170000
LAST-MODIFIED:20241015T173720Z
LOCATION:PDL C-038
SEQUENCE:587
SUMMARY:: TBD
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2024-12-11/tbd
END:VEVENT
BEGIN:VEVENT
UID:317ebea5-dcec-4e6c-b2cc-0b20fecaee31
DTSTAMP:20241102T084548Z
CATEGORIES:Meetings\, Special Events
CLASS:PUBLIC
CREATED:20240909T230021Z
DESCRIPTION:Speaker: All current and former members of the department are i
nvited.\n\nThe Joint Math Meeting of the AMS and MAA will be held in Seatt
le\, January 8-11\, 2025. There will be many alumni of the UW Math Depar
tment at the meeting. Plus\, there are many alums and current members of
the department in Seattle. So\, let's celebrate the moment at a gatherin
g near the Convention Center at 7:00-9:00pm on Thursday January 9\, 2025.
The location will be announced by email in mid December. If you are in
terested in attending\, please RSVP here: (pending link creation!)
DTSTART;TZID=America/Los_Angeles:20250109T190000
DTEND;TZID=America/Los_Angeles:20250109T210000
LAST-MODIFIED:20240909T230339Z
LOCATION:Location is TBA
SEQUENCE:588
SUMMARY:: UW Math Alumni Gathering
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-01-09/uw-math-alumni-gathering
END:VEVENT
BEGIN:VEVENT
UID:219c827f-4848-4175-8103-13c2edc01062
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241002T010945Z
DESCRIPTION:: TBD\n\nPDL C-038\nSeminars\nhttps://math.washington.edu/event
s/2025-01-15/tbd
DTSTART;TZID=America/Los_Angeles:20250115T160000
DTEND;TZID=America/Los_Angeles:20250115T170000
LAST-MODIFIED:20241002T011056Z
LOCATION:PDL C-038
SEQUENCE:589
SUMMARY:: TBD
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-01-15/tbd
END:VEVENT
BEGIN:VEVENT
UID:3b58b3c8-2324-4c1a-ae68-148f8528e2b4
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240925T211342Z
DESCRIPTION:: TBA\n\nCSE2 G01 (Gates Center)\nSeminars\nhttps://math.washin
gton.edu/events/2025-01-27/tba
DTSTART;TZID=America/Los_Angeles:20250127T153000
DTEND;TZID=America/Los_Angeles:20250127T163000
LAST-MODIFIED:20240925T212314Z
LOCATION:CSE2 G01 (Gates Center)
SEQUENCE:590
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-01-27/tba
END:VEVENT
BEGIN:VEVENT
UID:3e2f1f48-b56b-442a-8459-9b9f972114be
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20240904T211726Z
DESCRIPTION:: TBA\n\nECE 125\nColloquia\nhttps://math.washington.edu/events
/2025-02-14/tba
DTSTART;TZID=America/Los_Angeles:20250214T153000
DTEND;TZID=America/Los_Angeles:20250214T163000
LAST-MODIFIED:20241014T205653Z
LOCATION:ECE 125
SEQUENCE:591
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-02-14/tba
END:VEVENT
BEGIN:VEVENT
UID:cb8cbed9-6663-4ea3-9c8d-08f87d2168da
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20240913T235447Z
DESCRIPTION:: TBA\n\nECE 125\nColloquia\nhttps://math.washington.edu/events
/2025-02-28/tba
DTSTART;TZID=America/Los_Angeles:20250228T153000
DTEND;TZID=America/Los_Angeles:20250228T163000
LAST-MODIFIED:20241014T205710Z
LOCATION:ECE 125
SEQUENCE:592
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-02-28/tba
END:VEVENT
BEGIN:VEVENT
UID:498fbe3b-9a94-4f1c-a104-e24fa35b5cd4
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20241009T173835Z
DESCRIPTION:: TBA\n\nECE 125\nColloquia\nhttps://math.washington.edu/events
/2025-03-07/tba
DTSTART;TZID=America/Los_Angeles:20250307T153000
DTEND;TZID=America/Los_Angeles:20250307T163000
LAST-MODIFIED:20241014T205853Z
LOCATION:ECE 125
SEQUENCE:593
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-03-07/tba
END:VEVENT
BEGIN:VEVENT
UID:88fcdf7a-1d19-4e8f-ad00-baf220f9cfce
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241001T145505Z
DESCRIPTION:: TBD\n\nPDL C-038\nSeminars\nhttps://math.washington.edu/event
s/2025-03-12/tbd
DTSTART;TZID=America/Los_Angeles:20250312T160000
DTEND;TZID=America/Los_Angeles:20250312T170000
LAST-MODIFIED:20241001T145505Z
LOCATION:PDL C-038
SEQUENCE:594
SUMMARY:: TBD
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-03-12/tbd
END:VEVENT
BEGIN:VEVENT
UID:871864c3-f6bc-438c-b385-0e8a63ebbae7
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20241002T220024Z
DESCRIPTION:: TBD\n\nPDL C-038\nSeminars\nhttps://math.washington.edu/event
s/2025-04-09/tbd
DTSTART;TZID=America/Los_Angeles:20250409T160000
DTEND;TZID=America/Los_Angeles:20250409T170000
LAST-MODIFIED:20241002T220024Z
LOCATION:PDL C-038
SEQUENCE:595
SUMMARY:: TBD
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-04-09/tbd
END:VEVENT
BEGIN:VEVENT
UID:86501417-96c0-462b-9440-2f7a907a33d6
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240925T211517Z
DESCRIPTION:: TBA\n\nCSE2 G01 (Gates Center)\nSeminars\nhttps://math.washin
gton.edu/events/2025-04-14/tba
DTSTART;TZID=America/Los_Angeles:20250414T153000
DTEND;TZID=America/Los_Angeles:20250414T163000
LAST-MODIFIED:20240925T212416Z
LOCATION:CSE2 G01 (Gates Center)
SEQUENCE:596
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-04-14/tba
END:VEVENT
BEGIN:VEVENT
UID:72c651e4-8fd8-4371-87bc-ed71e399bf0c
DTSTAMP:20241102T084548Z
CATEGORIES:Colloquia
CLASS:PUBLIC
CREATED:20240904T212145Z
DESCRIPTION:: TBA\n\nECE 125\nColloquia\nhttps://math.washington.edu/events
/2025-04-18/tba
DTSTART;TZID=America/Los_Angeles:20250418T153000
DTEND;TZID=America/Los_Angeles:20250418T163000
LAST-MODIFIED:20241014T205911Z
LOCATION:ECE 125
SEQUENCE:597
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-04-18/tba
END:VEVENT
BEGIN:VEVENT
UID:2b246bdc-5b8b-41e7-83f3-4e1cfbdb0d9c
DTSTAMP:20241102T084548Z
CATEGORIES:Seminars
CLASS:PUBLIC
CREATED:20240925T211625Z
DESCRIPTION:: TBA\n\nCSE2 G01 (Gates Center)\nSeminars\nhttps://math.washin
gton.edu/events/2025-05-19/tba
DTSTART;TZID=America/Los_Angeles:20250519T153000
DTEND;TZID=America/Los_Angeles:20250519T163000
LAST-MODIFIED:20240925T212512Z
LOCATION:CSE2 G01 (Gates Center)
SEQUENCE:598
SUMMARY:: TBA
TRANSP:OPAQUE
URL:https://math.washington.edu/events/2025-05-19/tba
END:VEVENT
END:VCALENDAR