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UID:20250918T001648EDT-88296KJNmd@132.216.98.100
DTSTAMP:20250918T041648Z
DESCRIPTION:Title: Isoperimetry in convex bodies and Eldan's stochastic loc
 alization\n\nAbstract: The Kannan-Lovasz-Simonovits (KLS) conjecture is co
 ncerned with the isoperimetric problem in high-dimensional convex bodies. 
 The problem asks for the optimal way to partition a convex body into two p
 arts of equal volume so as to minimize their interface. The conjecture sug
 gests that up to a universal constant\, the optimal solution is obtained b
 y bisecting the convex body with a hyperplane. Some years ago it was prove
 n that the KLS conjecture implies Bourgain's slicing conjecture. Recently\
 , Chen has made significant progress towards the KLS conjecture\, which ut
 ilizes the technique of Stochastic Localization by Eldan. In this lecture 
 we will explain this method\, and survey various results on isoperimetry a
 nd spectral gap under convexity assumptions.\n\nhttps://us06web.zoom.us/j/
 82247948277?pwd=RmtjbzRYaml6aHg3c1RTRFpvVXNDUT09\n\nID de réunion : 822 47
 94 8277\n\nCode secret : 699575\n\n \n
DTSTART:20211005T150000Z
DTEND:20211005T160000Z
SUMMARY:Bo’az Klarta( Weizmann Institute of Science) CRM Nirenberg Lectures
  in Geometric Analysis
URL:/mathstat/channels/event/boaz-klarta-weizmann-inst
 itute-science-crm-nirenberg-lectures-geometric-analysis-333726
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