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SUMMARY:Optimal structures in convex geometry and combinatorics
DTSTART:20230130T140000
DTEND:20230130T150000
DTSTAMP:20260407T081639Z
UID:0dce39de643564b26427e56d9c256f0f2634f5bc9a297b9cd265f1a8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Yair Shenfeld\, MIT\nSeminar in Mathematics\nAbstract: \nIt is
  classical that the ball is the unique shape which minimizes surface area 
 for a given fixed volume. But what if we want to minimize surface area  w
 here in addition to fixing the volume we also fix the average width of the
  shape? This question turns out to be a very special case of long-standing
  conjectures at the heart of convex geometry. In the first part of the tal
 k I will explain these conjectures and the significant progress that we ma
 de towards their resolutions. In the second part of the talk I will explai
 n how these  geometric problems can provide information on problems in co
 mbinatorics\, which led us to the discovery of some surprising results in 
 the theory of partially ordered sets. \n 
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021 https://epfl.zoom
 .us/j/66965303664
STATUS:CONFIRMED
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