Event
Bo’az Klarta( Weizmann Institute of Science) CRM Nirenberg Lectures in Geometric Analysis
Tuesday, October 5, 2021 11:00to12:00
Title: Isoperimetry in convex bodies and Eldan's stochastic localization
Abstract: The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two parts of equal volume so as to minimize their interface. The conjecture suggests that up to a universal constant, the optimal solution is obtained by bisecting the convex body with a hyperplane. Some years ago it was proven that the KLS conjecture implies Bourgain's slicing conjecture. Recently, Chen has made significant progress towards the KLS conjecture, which utilizes the technique of Stochastic Localization by Eldan. In this lecture we will explain this method, and survey various results on isoperimetry and spectral gap under convexity assumptions.
ID de réunion : 822 4794 8277
Code secret : 699575
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