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Geometry of isotropic convex bodies

Introductory Workshop: phenomena in high dimensions August 21, 2017 - August 25, 2017

August 21, 2017 (09:10 AM PDT - 10:10 AM PDT)
Speaker(s): Apostolos Giannopoulos (National and Kapodistrian University of Athens (University of Athens))
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • asymptotic convex geometry

  • isotropic convex bodies

  • log-concave probability measures

  • distribution of volume

  • slicing problem

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

1-Giannopoulos
Abstract

The aim of the talks will be to present the main results on the geometry of isotropic convex bodies in connection with a number of well-known open questions regarding the distribution of volume in high-dimensional convex bodies, such as the slicing problem, the thin shell conjecture and the Kannan-Lovász-Simonovits conjecture.
Supplements
29170?type=thumb Abstract 165 KB application/pdf Download
29228?type=thumb Notes 869 KB application/pdf Download
Video/Audio Files

1-Giannopoulos

H.264 Video 1-Giannopoulos.mp4 556 MB video/mp4 rtsp://videos.msri.org/1-Giannopoulos/1-Giannopoulos.mp4 Download
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