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SUMMARY:Mark Meckes (Case Western Reserve University)
DTSTART:20200606T153000Z
DTEND:20200606T163000Z
DTSTAMP:20260423T035913Z
UID:OAGAS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/18/">M
 agnitude and intrinsic volumes of convex bodies</a>\nby Mark Meckes (Case 
 Western Reserve University) as part of Online asymptotic geometric analysi
 s seminar\n\n\nAbstract\nMagnitude is an isometric invariant of metric spa
 ces with origins in category theory. Although it is very difficult to exac
 tly compute the magnitude of interesting subsets of Euclidean space\, it c
 an be shown that magnitude\, or more precisely its behavior with respect t
 o scaling\, recovers many classical geometric invariants\, such as volume\
 , surface area\, and Minkowski dimension. I will survey what is known abou
 t this\, including results of Barcelo--Carbery\, Gimperlein--Goffeng\, Lei
 nster\, Willerton\, and myself\, and sketch the proof of an upper bound fo
 r the magnitude of a convex body in Euclidean space in terms of intrinsic 
 volumes.\n
LOCATION:https://researchseminars.org/talk/OAGAS/18/
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