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# Differential Geometry/PDE Seminar

The UW Differential Geometry / Partial Differential Equations (DG/PDE) Seminar is held in Padelford C-38 on Wednesdays 4:00 p.m. unless otherwise noted.

## Taking the DG/PDE Seminar for Credit

The Differential Geometry/PDE Seminar can be taken for graduate credit as Math 550A. You may obtain one credit by attending and participating in all but two of the seminar meetings, or two credits for giving a talk in the seminar. If you have any questions about these requirements, feel free to contact Yu YUAN (yuan@math.washington.edu) or Jonathan Zhu (jonozhu@uw.edu).

## Seminar Mailing List

Announcements of upcoming DG/PDE seminars are sent by e-mail to all interested participants. To be added to (or removed from) the DG/PDE seminar mailing list, send an e-mail to yuan@math.washington.edu or jonozhu@uw.edu.

## Upcoming Events

**Francisco Arana-Herrera (University of Maryland)**

May 22, 2024 - 4:00pm to 5:00pm

PDL C-401

**Francisco Andres Arana Herrera, U. of Maryland**

May 22, 2024 - 4:30pm to 5:30pm

PDL C-38

## Past Events

- Inversion of trace formulas for inverse spectral problems (Joint with IP seminar) (Jian Zhai, Fudan U., China ) - May 8, 2024
- Ring structures on singular instanton homology and link detection (Boyu Zhang (University of Maryland)) - February 28, 2024
- Isospectral connections, frame flow ergodicity, and polynomial maps between spheres (Thibault Lefeuvre (Université de Paris and Sorbonne Université)) - February 21, 2024
- Boundary behavior of the Allen-Cahn equation and the construction of free boundary minimal hypersurfaces [joint with Rainwater seminar] (Davide Parise (UCSD)) - January 24, 2024
- Doubling method for Monge-Ampere and special Lagrangian type equations (Ravi Shankar, Princeton U.) - January 3, 2024
- The Monge-Ampere system: convex integration in arbitrary dimension and codimension (Marta Lewicka (U of Pittsburgh)) - November 9, 2023
- Marked length spectrum rigidity for Anosov surfaces (Gabriel Paternain (UW)) - October 18, 2023
- Stability of the volume entropy inequality (Antoine Song (Caltech)) - October 11, 2023
- Helical symmetry solutions for 3D incompressible Euler equations in an infinite cylinder (Daomin CAO (Academy of Mathematics and Systems Science, Chinese Academy of Sciences)) - August 18, 2023
- The sigma-2 equation in dimension four (Ravi Shankar (Princeton U.)) - June 12, 2023
- Asymptotics near extinction for nonlinear fast diffusion on a bounded domain (Robert McCann (U. Toronto)) - May 24, 2023
- Some unique continuation results for Schrodinger equations (Xueying Yu, University of Washington) - May 23, 2023
- A priori interior estimates for Lagrangian mean curvature equations (Arunima Bhattacharya (U. North Carolina)) - May 17, 2023
- Landis-type conjecture for the fractional Schrodinger operator (Joint with IP seminar) (Jenn-Nan Wang (National Taiwan University)) - May 3, 2023
- Inverse Problems for Nonlinear Schroedinger Equations (Joint with IP seminar) (Ru-yu Lai (U. Minnesota)) - April 26, 2023
- Distance comparison principles for curve shortening flows (Jonathan J. Zhu) - April 5, 2023
- On transport twistor spaces (Joint with IP seminar) (Jan Bohr (U. Bonn)) - March 29, 2023
- Microlocal analysis near null infinity on asymptotically flat spacetimes (Joint with IP seminar) (Andras Vasy (Stanford U)) - March 8, 2023
- Variations of Renormalized Volume for Minimal Submanifolds of Poincare-Einstein Spaces ( Jared Marx-Kuo) - March 7, 2023
- Ancient Ricci flows of bounded girth (Mat Langford (UTK)) - February 22, 2023
- Inverse boundary problems for nonlinear elliptic PDE (Joint with IP seminar) (Katya Krupchyk (UC Irvine)) - February 15, 2023
- Sharp Scattering Results for the Cubic Nonlinear Schrödinger Equation (Joint with IP seminar) (Jason Murphy (Missouri University of Science and Technology)) - January 10, 2023
- On the compactness of Hamiltonian stationary Lagrangian submanifolds (John M-S. Ma (University of Copenhagen)) - September 21, 2022
- Ancient Solutions in Ricci Flow (Peng LU (U of Oregon)) - August 25, 2022
- Gradient estimate for a special Lagrangian type PDE (Ravi Shankar (Princeton University)) - June 29, 2022
- On Green's functions of nondivergent elliptic operators with continuous coefficients (Seick Kim (Yonsei University in Seoul)) - June 29, 2022
- Coordinates are messy (Melanie Graf (University of Tübingen)) - May 11, 2022
- The geodesic X-ray transform: a semiclassical approach and applications to asymptotically conic spaces (Joint with IP seminar) (Andras Vasy (Stanford)) - May 10, 2022
- Mapping properties of X-ray transforms near convex boundaries (Joint with IP seminar) (Francois Monard (UC Santa Cruz)) - May 4, 2022
- Acoustic Source and Speed of Sound Inversion in PhotoacousticTomography: A Numerical Study (Joint with IP seminar) (Yang Yang (Michigan State) ) - May 3, 2022
- An inverse problem for the fractional porous medium equation (Joint w/ IP seminar) ( Li Li) - April 27, 2022
- Sub-Riemannian limit of the differential form heat kernels on a contact Manifold (Hadrian Quan (UW)) - November 3, 2021
- Geometric applications of the Laplace equation on Ricci-flat manifolds (Jiewon Park (Caltech)) - May 26, 2021
- Geometrically Finite Asymptotically Hyperbolic Einstein metrics (Eric Bahuaud (Seattle University)) - April 28, 2021
- Spectral Gaps on Riemannian Manifolds (Helton Leal (Bellevue College)) - April 21, 2021
- On the regularity of singular sets of minimizers for the Mumford-Shah energy (Silvia Ghinassi (UW)) - March 10, 2021
- Hessian Estimates for the Lagrangian mean curvature equation (Arunima Bhattacharya (UW)) - February 17, 2021
- Singularity structures in solutions to the Monge-Ampere equation (Connor Mooney (UC Irvine)) - February 3, 2021
- On Hölder continuous globally dissipative Euler flows (Hyunju Kwon (IAS)) - December 2, 2020
- Finding classical solutions to elliptic PDEs with singular solutions (Ravi Shankar (UW)) - November 25, 2020
- Eigenvalues of the Laplacian and min-max for the energy functional. (Mikhail Karpukhin (Caltech)) - November 18, 2020
- Topological insulators: a mathematical perspective (Alexis Drouot (UW)) - October 21, 2020
- Compactness of Hamiltonian stationary Lagrangian submanifolds in $C^n$ (Jingyi CHEN (UBC)) - March 5, 2020
- The Travel Time Tomography Inverse Problem for Transversely Isotropic Elastic Media (Joint w/ IP seminar) (Joey Zou (Stanford)) - March 4, 2020
- On asymptotically hyperbolic Einstein manifolds (Jie QING (UC Santa Cruz)) - February 26, 2020
- An inverse problem for a semi-linear elliptic equation (Joint w/ IP seminar) (Ali Feizmohammadi (University College London)) - February 25, 2020
- Artifacts in the inversion of some ray transforms with conjugate points in two dimensions (Joint w/ IP seminar) (Yang ZHANG (Purdue U)) - February 12, 2020
- Approximation theorems for the Schrödinger equation and the reconnection of quantum vortices in Bose-Einstein condensates (Joint w/ IP seminar) (Alberto Enciso (ICMAT, Spain)) - February 5, 2020
- Acoustic Wave Imaging with Discontinuities (Joint with IP Seminar) (Peter Caday (Intel)) - January 21, 2020
- When does a domain have trigonometric eigenfunctions for the Laplace eigenvalue equation? (Julie Rowlett) - January 15, 2020
- Carleman Estimates For Globally Convergent Numerical Methods for Coefficient Inverse Problems (Mikhail V. Klibanov (U of North Carolina Charlotte)) - November 15, 2019
- A weighted eigenvalue problem of the biased infinity Laplacian (Fang LIU (Nanjing University of Science and Technology/UW)) - June 5, 2019
- Geometric manifold learning methods and collective variables (Joint with IP seminar) (Marina Meila (UW, Statistics)) - April 10, 2019
- Deep neural network architectures in geo-inverse problems (Joint with IP seminar) (Maarten de Hoop (Rice University)) - February 26, 2019
- Inverse problems for polyharmonic operators with lower order perturbations (Joint with IP seminar) (Sombuddha Bhattacharyya (HKUST)) - February 20, 2019
- Inverse problem for fractional Laplacian operator with lower order non-local perturbations (Joint with IP seminar) (Tuhin Ghosh (HKUST)) - February 13, 2019
- The fixed angle inverse scattering problem for the perturbed wave equation and inversion from two experiment data (Joint with IP seminar) (Rakesh (University of Delaware)) - February 6, 2019
- A zoo of complex, symplectic, non Kähler manifolds (Giovanni Bazzoni (Universidad Complutense de Madrid)) - January 22, 2019
- Bounds for Schr\"odinger operators with complex potentials and non-trapping metrics (Katya Krupchyk (UC Irvine)) - December 5, 2018
- A coupled physics inverse problem in electro-seismic imaging (joint w/ IP seminar) (Yang Yang (Michigan State)) - December 4, 2018
- Inverse problems for the nonlinear Maxwell equations in Kerr-type media (joint w/ IP seminar) (Yernat Assylbekov (Michigan State)) - November 29, 2018
- Deformation of Einstein metrics and $$L^2$$ cohomology on strictly pseudoconvex domains (Yoshihiko Matsumoto (Osaka University and Stanford University)) - November 28, 2018
- Introduction to the geodesic X-ray transform: Lecture 4 (Gabriel Paternain (U. Cambridge)) - November 26, 2018
- Introduction to the geodesic X-ray transform: Lecture 3 (Gabriel Paternain (U. Cambridge)) - November 21, 2018
- Introduction to the geodesic X-ray transform: Lecture 2 (Gabriel Paternain (U. Cambridge)) - November 19, 2018
- Stable equivalence of smoothly knotted surfaces (Dave Auckly, Kansas State University) - November 16, 2018
- Introduction to the geodesic X-ray transform (Gabriel Paternain (U. Cambridge)) - November 14, 2018
- Seeing inside the Earth with micro earthquakes (special seminar) (Teemu Saksala (Rice U)) - November 6, 2018
- Spectral and travel time tomography on Mars with InSight (joint w/ IP seminar) (Joonas Ilmavirta (University of Jyvaskyla)) - November 5, 2018
- Geodesic flow, X-ray transform, and boundary rigidity on asymptotically hyperbolic manifolds (Robin Graham (UW)) - October 31, 2018
- Fredholm theory and the resolvent of the Laplacian near zero energy on asymptotically conic spaces (Andras Vasy (Stanford University)) - October 26, 2018
- Nonlinear detection of Hermitian connections in Minkowski space (joint w/ IP seminar) (Gabriel Paternain (University of Cambridge)) - October 24, 2018
- A semiclassical framework for elastic surface waves: analysis and inverse problems (joint w/ IP seminar) (Jian Zhai (UW)) - October 10, 2018
- $\mathbb R$-invariant CR structures, hypoellipticity, and Kodaira's vanishing theorem (Gerardo Mendoza (Temple University)) - May 23, 2018
- Boundary Layers in Kinetic-Fluid Coupling (joint w/ IP seminar) (Qin Li (University of Wisconsin, Madison)) - May 16, 2018
- CAUSAL HOLOGRAPHY IN APPLICATION TO THE INVERSE SCATTERING PROBLEMS (joint w/ IP seminar) (Gabriel Katz (MIT)) - April 25, 2018
- Reconstruction of Spacetime Geometry from Quantum Entanglement (joint w/ IP seminar) (Charles Cao (Caltech)) - April 18, 2018
- Schauder estimates for the Hamiltonian stationary equation (Arunima Bhattacharya (U of Oregon)) - March 22, 2018
- Extendability of conformal structures on punctured surfaces (Jingyi Chen (UBC)) - March 22, 2018
- Strictly pseudoconvex domains in C^2 with obstruction flat boundary (Sean Curry, UC San Diego) - December 6, 2017
- Existence and uniqueness of vortex patch for two dimensional Euler equation (Daomin CAO, Institute of Applied Mathematics, Academia Sinica) - August 16, 2017
- Fractal uncertainty principle (Semyon Dyatlov, MIT) - May 24, 2017
- Boundary behaviour of the Weil-Petersson metric (Xuwen Zhu, Stanford University ) - May 24, 2017
- Strichartz estimates for wave equations with charge transfer Hamiltonians (Gong Chen, University of Chicago) - May 17, 2017
- TBA (Matt Gursky, University of Notre Dame) - February 8, 2017