Rainwater Seminar
The Rainwater Seminar covers a broad range of topics in Modern Analysis, including Real and Complex Analysis, Geometric Measure Theory, Ergodic Theory and Geometric Dynamics. This reflects the recent trends and emerging areas in Non-Smooth Analysis and Geometry, characterized by interdisciplinary connections. Some examples of these areas are Gromov's hyperbolic spaces, measure metric spaces, dynamics on translation surfaces, Schramm's Stochastic Loewner Evolution, the Zipper algorithm for conformal mappings, fractals arising in PDE's and in Dynamics, and PDEs on non-smooth domains.
The seminar meets on Tuesdays at 1:30 in PDL C-401, and may last up to two hours. In a two hour session the first 30 minutes will provide a general introduction accessible to first and second year graduate students. Then there will be a 15-20 minute coffee break (at which time it is perfectly permissible to leave), followed by an hour talk.
The seminar reflects the interests of Jayadev Athreya, Don Marshall, Steffen Rohde, Stefan Steinerberger, Tatiana Toro and Bobby Wilson.
Past Events
- C^ {1, α} Reifenberg Theorems for Sets and Measures (Silvia Ghinassi, Stony Brook ) -
- Equidistribution of expanding translates of shrinking curves and Dirichlet's approximation theorem (Pengyu Yang , Ohio State University) -
- Traveling along Hölder curves (Matthew Badger, University of Connecticut) -
- Siegel-Veech transforms are in L^2 (Jayadev Athreya, University of Washington) -
- Elliptic measures and the geometry of the domains (Zihui Zhao, University of Washington) -
- Automatic convexity and Ornstein's L-one noninequalities (Bernd Kirchheim, Universität Leipzig) -
- Stochastic Homogenization for Reaction-Diffusion Equations (Jessica Lin, McGill University) -
- Boundary Regularity for the Free Boundary in the One-phase Problem (Hector Chang-Lara, Columbia University) -
- Harmonic measure on sets of co-dimension larger than 1 (Guy David, Université Paris-Sud ) -
- Heat flow on snowballs (Mathav Murugan, The University of British Columbia, Vancouver) -
- The Zimmer Program (Sebastian Hurtado Salazar, University of Chicago) -
- The nodal set of solutions to sublinear equations (Nicola Soave, Politecnico di Milano) -
- (Uniform) rectifiability and (integral) Menger curvature (Max Goering, University of Washington) -
- Minimal Surfaces Close to a Plane and Two-Valued Harmonic Functions (Spencer Becker-Kahn, University of Washington) -
- From Period Coordinates to Teichmueller Distance (Ian Frankel, University of Chicago) -
- The 1-dimensional extension property in complex analysis (Mark Lawrence, Nazarbayev University) -
- On minimizers and critical points for anisotropic isoperimetric problems (Robin Neumayer, Northwestern University) -
- Introductory talk: Introduction to Layer Potentials. Main talk: A Singular Integral Approach to Two-Phase Free Boundary Problems (Simon Bortz, University of Minnesota) -
- Uniqueness of mean curvature flow through (some) singularities (Or Hershkovits, Stanford) -
- Dynamics, geometry, and the moduli space of Riemann surfaces (Alex Wright, Stanford) -
- A free boundary problem on three-dimensional cones (Mark Allen, Brigham Young University) -
- Random trees via conformal welding (Peter Lin, UW) -
- Asymptotically optimal shapes: the drum with lowest n-th frequency, and the ellipse enclosing the most lattice points (Richard Laugesen, University of Illinois) -
- Absolute continuity of harmonic measure on rough domains (Murat Akman, University of Connecticut) -
- Rectifiability of harmonic measure (Sasha Volberg, Michigan State University) -
- On number of collisions of billiard balls (Chris Burdzy, UW) -
- Conformally Invariant Measures on Simple Loops (Stéphane Benoist, Massachusetts Institute of Technology) -
- NOT theory (not knot theory) (Chris Bishop, SUNY Stony Brook) -
- Conformal laminations and trees (Steffen Rohde, University of Washington) -
- Conformal Growth Rates and Spectral Geometry on Unimodular Random Graphs (James Lee, University of Washington) -
- Reversibility of the Loewner energy (Yilin Wang, ETH Zurich) -