Some remarks on Mahler's conjecture for convex bodies

Presented by:
A Zvavitch Kent State University
Date:
Wednesday 16th February 2011 - 14:00 to 15:00
Venue:
INI Seminar Room 1
Abstract:
Let $P(K)$ be the product of the volume of an origin symmetric convex body $K$ and its dual/polar body $K^*$. Mahler conjectured that $P(K)$ is minimized by a cube and maximized by a ball. The second claim of this conjecture was proved by Santalo; despite many important partial results, the first problem is still open in dimensions 3 and higher. In this talk we will discuss some recent progress and ideas concerning this conjecture.
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