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SUMMARY:Recent progress on the KLS conjecture and Eldan’s stochastic loc
 alization scheme - Yuansi Chen\, Duke University
DTSTART:20210430T150000Z
DTEND:20210430T160000Z
UID:TALK159739@talks.cam.ac.uk
CONTACT:Dr Sergio Bacallado
DESCRIPTION:Kannan\, Lovász and Simonovits (KLS) conjectured in 1995 that
  the Cheeger isoperimetric coefficient of any log-concave density is achie
 ved by half-spaces up to a universal constant 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 bri
 efly survey the origin and the main consequences of these conjectures. The
 n we present the development and the refinement of the main proof techniqu
 e\, Eldan's stochastic localization scheme. Finally we explain a few proof
  details which result in the current almost-constant bound of the Cheeger 
 isoperimetric coefficient in the KLS conjecture.
LOCATION: https://maths-cam-ac-uk.zoom.us/j/95871364531?pwd=aFZaV0loSWt6Qm
 RDbm5ONWNjTTBjZz09
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