Geometric Analysis Seminar
speaker: Mario Santilli (Augsburg University)
Title: Soap bubble theorems in Convex Geometry and Geometric Measure Theory.
Abstract: The celebrated Alexandrov theorem (1958) asserts that a compact and embedded smooth hypersurface with constant mean curvature in the Euclidean space must be a sphere. In this talk I will discuss two recent extensions of this result to singular varieties. The first extension deal with sets of finite perimeter with constant (possibly anisotropic) distributional mean curvature, which correspond to the critical points of the (possibly anisotropic) isoperimetric functional. The second extension deal with arbitrary convex bodies.
Dial-In Information
https://tennessee.zoom.us/j/91228266699
Tuesday, March 2, 2021 at 2:50pm to 4:05pm
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Theodora Bourni
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