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SUMMARY:Yuansi Chen (Duke University)
DTSTART:20210105T153000Z
DTEND:20210105T163000Z
DTSTAMP:20260423T035636Z
UID:OAGAS/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/49/">R
 ecent progress on the KLS conjecture and Eldan’s stochastic localization
  scheme</a>\nby Yuansi Chen (Duke University) as part of Online asymptotic
  geometric analysis seminar\n\n\nAbstract\nKannan\, Lovasz and Simonovits 
 (KLS) conjectured in 1993 that the Cheeger isoperimetric coefficient of an
 y log-concave density is achieved by half-spaces up to a universal constan
 t factor. This conjecture also implies other important conjectures such as
  Bourgain's slicing conjecture (1986) and the thin-shell conjecture (2003)
 . In this talk\, first we briefly survey the origin and the main consequen
 ces of these conjectures. Then we present the development and the refineme
 nt of the main proof technique\, namely Eldan's stochastic localization sc
 heme\, which results in the current best bounds of the Cheeger isoperimetr
 ic coefficient in the KLS conjecture.\n
LOCATION:https://researchseminars.org/talk/OAGAS/49/
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