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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker\; Travis Dillon (MIT)\n\nTitle: New quantitative Hel
ly-type theorems for diameter\n\nAbstract: \n\nHelly's theorem is a fundame
ntal statement in discrete and convex geometry that relates the intersectio
n of a family of convex sets to the intersections of its subfamilies. This
talk surveys recent advances in quantitative versions of Helly's theorem\,
including best-known results toward proving a 1982 conjecture of Bárány\, K
atchalski\, and Pach. Along the way\, I'll introduce a new\, surprisingly p
owerful technique for proving quantitative Helly-type theorems\, and we'll
completely characterize the norms for which there is a ``no-loss'' Helly-ty
pe theorem for diameter. \n\nThis talk is based on joint work with Pablo So
berón.
DTEND:20220504T211500Z
DTSTAMP:20220815T075149Z
DTSTART:20220504T201500Z
LOCATION:MIT - Dept. of Mathematics\, Bldg. 2\, Room 139
SEQUENCE:0
SUMMARY:MIT-Harvard-MSR Combinatorics Seminar
UID:tag:localist.com\,2008:EventInstance_39800510697808
URL:https://calendar.mit.edu/event/mit-harvard-msr_combinatorics_seminar_39
53
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