Videos

Geometry of isotropic convex bodies

August 21, 2017
Keywords:
  • asymptotic convex geometry
  • isotropic convex bodies
  • log-concave probability measures
  • distribution of volume
  • slicing problem
MSC:
  • 52A23
  • 46B06
  • 60D05
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.