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SUMMARY:Peter van Hintum (Cambridge University)
DTSTART:20200630T143000Z
DTEND:20200630T153000Z
DTSTAMP:20260423T035915Z
UID:OAGAS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/25/">S
 harp stability of the Brunn-Minkowski inequality</a>\nby Peter van Hintum 
 (Cambridge University) as part of Online asymptotic geometric analysis sem
 inar\n\n\nAbstract\nWe consider recent results concerning the stability of
  the classic Brunn-Minkowski inequality. In particular we shall focus on t
 he linear stability for homothetic sets. Resolving a conjecture of Figalli
  and Jerison\, we show there are constants C\,d>0 depending only on n such
  that for every subset A of R^n of positive measure\, if |(A+A)/2 - A| <= 
 d |A|\, then |co(A) - A| <= C |(A+A)/2 - A| where co(A) is the convex hull
  of A. The talk is based on joint work with Hunter Spink and Marius Tiba.\
 n
LOCATION:https://researchseminars.org/talk/OAGAS/25/
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