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9:00am to 10:00am - Zoom - Inverse Problems Tony Liimatainen - (University of Jyväskylä and University of Helsinki) Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds |
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3:00pm - Zoom: https://uci.zoom.us/j/98027654087 - Number Theory Krzysztof Klosin - (Queens College, CUNY) The Paramodular Conjecture for abelian surfaces with rational torsion |
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3:00pm to 5:00pm - Zoom - Nonlinear PDEs Aaron Yip - (Purdue University) Stability of Self-Similarity Solutions of Surface Diffusion Surface diffusion (SD) is a curvature driven flow where a (hyper-)surface evolves by the surface Laplacian of its mean curvature. It is a fourth order parabolic equation. Compared with its second order counterpart, motion by mean curvature (MMC), for which maximum principle is available, much less is known for SD. I will present a stability result for self-similarity solutions. Though the approach is based on linearization, and it only works for the evolution of graphs, it is quite robust and works for both MMC and SD. I will also present an attempt to analyze the pinch-off phenomena for axisymmetric surfaces. The former is based on a joint work with Hengrong Du and the later with Gavin Glenn. |
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4:00pm - Zoom https://zoom.us/j/8473088589 - Graduate Seminar Jeff Streets - (UC Irvine) TBA TBA |