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SUMMARY:PGMO Lecture - Isoperimetry and Convex Geometry in High Dimensions
 \, by Bo'az Klartag
DTSTART:20260205T080000Z
DTEND:20260206T170000Z
DTSTAMP:20260426T131100Z
UID:indico-event-15533@indico.math.cnrs.fr
DESCRIPTION:Speakers: Stephane Gaubert (INRIA and Ecole polytechnique)\, Q
 uentin Merigot\n\n \n\n \nWe will discuss recent progress in understandi
 ng the uniform measure on high-dimensional convex bodies\, focusing on adv
 ances toward the Kannan-Lovász-Simonovits (KLS) isoperimetric conjecture\
 , as well as the resolution of Bourgain’s slicing problem and the thin-s
 hell conjecture.\nThe study of uniform measures on high-dimensional convex
  bodies provides a testing ground for powerful analytic methods with appl
 ications in broader mathematical contexts. These techniques include spheri
 cal and Gaussian concentration of measure\, convex localization\, optimal 
 transport with the Monge cost\, Bochner identities and curvature\, heat fl
 ow\, and stochastic localization..\nThe first part of the course will be d
 edicated to background on geometric phenomena in high-dimensions. In the s
 econd part\, we will study in detail the heat evolution of log-concave mea
 sures using the Brownian interpretation and pathwise methods.\nFeb 5-6\, 
 2026\, at Institut de Mathématique d'Orsay\nLecturer: Bo'az Klartag\, Tel
  Aviv University and Weizmann institute for science\n\nhttps://indico.math
 .cnrs.fr/event/15533/
LOCATION:0A1 (Institut de Mathématiques d'Orsay)
URL:https://indico.math.cnrs.fr/event/15533/
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