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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240307T163000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-178
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:PETER PIVOVAROV\, UNIVERSITY OF MISSOURI\n\n\"A PROBABILISTIC A
 PPROACH TO LP AFFINE ISOPERIMETRIC INEQUALITIES\"\n\nIn the class of conve
 x sets\, the isoperimetric inequality can be\nderived from several differe
 nt affine inequalities. One example is the\nBlaschke-Santalo inequality on
  the product of volumes of a convex body\nand its polar dual. Another exam
 ple is the Busemann--Petty inequality\nfor centroid bodies. In the 1990s\,
  Lutwak and Zhang introduced a\nrelated functional analytic framework with
  their notion of Lp centroid\nbodies\, for p>1. Lutwak raised the question
  of encompassing the\nnon-convex star-shaped range when p<1 (including neg
 ative values). I\nwill discuss a probabilistic approach to establishing is
 operimetric\ninequalities in this range. It uses a new representation of\n
 star-shaped sets as special averages of convex sets. Based on joint\nwork 
 with R. Adamczak\, G. Paouris\, and P. Simanjuntak.\n\nThis seminar will b
 e held both online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhttps
 ://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260505T204703Z
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