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CATEGORIES:Statistics
SUMMARY:Recent progress on the KLS conjecture and Eldan’s 
 stochastic localization scheme - Yuansi Chen\, Duk
 e University
DTSTART;TZID=Europe/London:20210430T160000
DTEND;TZID=Europe/London:20210430T170000
UID:TALK159739AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/159739
DESCRIPTION:Kannan\, Lovász and Simonovits (KLS) conjectured i
 n 1995 that the Cheeger isoperimetric coefficient 
 of any log-concave density is achieved by half-spa
 ces up to a universal constant factor. This conjec
 ture also implies other important conjectures such
  as Bourgain's slicing conjecture (1986) and the t
 hin-shell conjecture (2003).  In this talk\, first
  we briefly survey the origin and the main consequ
 ences of these conjectures. Then we present the de
 velopment and the refinement of the main proof tec
 hnique\, Eldan's stochastic localization scheme. F
 inally we explain a few proof details which result
  in the current almost-constant bound of the Cheeg
 er isoperimetric coefficient in the KLS conjecture
 .
LOCATION: https://maths-cam-ac-uk.zoom.us/j/95871364531?pwd
 =aFZaV0loSWt6QmRDbm5ONWNjTTBjZz09
CONTACT:Dr Sergio Bacallado
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