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Differential Geometry/PDE Seminar

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.

## Past Events

- Łojasiewicz inequalities and mean curvature flow (Jonathan Zhu (UW)) -
- Ergodic properties of rational billiards (Francisco Andres Arana Herrera, U. of Maryland) -
- TBA (Francisco Arana-Herrera (University of Maryland)) -
- Inversion of trace formulas for inverse spectral problems (Joint with IP seminar) (Jian Zhai, Fudan U., China ) -
- Ring structures on singular instanton homology and link detection (Boyu Zhang (University of Maryland)) -
- Isospectral connections, frame flow ergodicity, and polynomial maps between spheres (Thibault Lefeuvre (Université de Paris and Sorbonne Université)) -
- Boundary behavior of the Allen-Cahn equation and the construction of free boundary minimal hypersurfaces [joint with Rainwater seminar] (Davide Parise (UCSD)) -
- Doubling method for Monge-Ampere and special Lagrangian type equations (Ravi Shankar, Princeton U.) -
- The Monge-Ampere system: convex integration in arbitrary dimension and codimension (Marta Lewicka (U of Pittsburgh)) -
- Marked length spectrum rigidity for Anosov surfaces (Gabriel Paternain (UW)) -
- Stability of the volume entropy inequality (Antoine Song (Caltech)) -
- Helical symmetry solutions for 3D incompressible Euler equations in an infinite cylinder (Daomin CAO (Academy of Mathematics and Systems Science, Chinese Academy of Sciences)) -
- The sigma-2 equation in dimension four (Ravi Shankar (Princeton U.)) -
- Asymptotics near extinction for nonlinear fast diffusion on a bounded domain (Robert McCann (U. Toronto)) -
- Some unique continuation results for Schrodinger equations (Xueying Yu, University of Washington) -
- A priori interior estimates for Lagrangian mean curvature equations (Arunima Bhattacharya (U. North Carolina)) -
- Landis-type conjecture for the fractional Schrodinger operator (Joint with IP seminar) (Jenn-Nan Wang (National Taiwan University)) -
- Inverse Problems for Nonlinear Schroedinger Equations (Joint with IP seminar) (Ru-yu Lai (U. Minnesota)) -
- Distance comparison principles for curve shortening flows (Jonathan J. Zhu) -
- On transport twistor spaces (Joint with IP seminar) (Jan Bohr (U. Bonn)) -
- Microlocal analysis near null infinity on asymptotically flat spacetimes (Joint with IP seminar) (Andras Vasy (Stanford U)) -
- Variations of Renormalized Volume for Minimal Submanifolds of Poincare-Einstein Spaces ( Jared Marx-Kuo) -
- Ancient Ricci flows of bounded girth (Mat Langford (UTK)) -
- Inverse boundary problems for nonlinear elliptic PDE (Joint with IP seminar) (Katya Krupchyk (UC Irvine)) -
- Sharp Scattering Results for the Cubic Nonlinear Schrödinger Equation (Joint with IP seminar) (Jason Murphy (Missouri University of Science and Technology)) -
- On the compactness of Hamiltonian stationary Lagrangian submanifolds (John M-S. Ma (University of Copenhagen)) -
- Ancient Solutions in Ricci Flow (Peng LU (U of Oregon)) -
- Gradient estimate for a special Lagrangian type PDE (Ravi Shankar (Princeton University)) -
- On Green's functions of nondivergent elliptic operators with continuous coefficients (Seick Kim (Yonsei University in Seoul)) -
- Coordinates are messy (Melanie Graf (University of Tübingen)) -
- The geodesic X-ray transform: a semiclassical approach and applications to asymptotically conic spaces (Joint with IP seminar) (Andras Vasy (Stanford)) -
- Mapping properties of X-ray transforms near convex boundaries (Joint with IP seminar) (Francois Monard (UC Santa Cruz)) -
- Acoustic Source and Speed of Sound Inversion in PhotoacousticTomography: A Numerical Study (Joint with IP seminar) (Yang Yang (Michigan State) ) -
- An inverse problem for the fractional porous medium equation (Joint w/ IP seminar) ( Li Li) -
- Sub-Riemannian limit of the differential form heat kernels on a contact Manifold (Hadrian Quan (UW)) -
- Geometric applications of the Laplace equation on Ricci-flat manifolds (Jiewon Park (Caltech)) -
- Geometrically Finite Asymptotically Hyperbolic Einstein metrics (Eric Bahuaud (Seattle University)) -
- Spectral Gaps on Riemannian Manifolds (Helton Leal (Bellevue College)) -
- On the regularity of singular sets of minimizers for the Mumford-Shah energy (Silvia Ghinassi (UW)) -
- Hessian Estimates for the Lagrangian mean curvature equation (Arunima Bhattacharya (UW)) -
- Singularity structures in solutions to the Monge-Ampere equation (Connor Mooney (UC Irvine)) -
- On Hölder continuous globally dissipative Euler flows (Hyunju Kwon (IAS)) -
- Finding classical solutions to elliptic PDEs with singular solutions (Ravi Shankar (UW)) -
- Eigenvalues of the Laplacian and min-max for the energy functional. (Mikhail Karpukhin (Caltech)) -
- Topological insulators: a mathematical perspective (Alexis Drouot (UW)) -
- Compactness of Hamiltonian stationary Lagrangian submanifolds in $C^n$ (Jingyi CHEN (UBC)) -
- The Travel Time Tomography Inverse Problem for Transversely Isotropic Elastic Media (Joint w/ IP seminar) (Joey Zou (Stanford)) -
- On asymptotically hyperbolic Einstein manifolds (Jie QING (UC Santa Cruz)) -
- An inverse problem for a semi-linear elliptic equation (Joint w/ IP seminar) (Ali Feizmohammadi (University College London)) -
- Artifacts in the inversion of some ray transforms with conjugate points in two dimensions (Joint w/ IP seminar) (Yang ZHANG (Purdue U)) -