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SUMMARY:Some remarks on Mahler's conjecture for convex bodies - Zvavitch\,
  A (Kent State University)
DTSTART:20110216T140000Z
DTEND:20110216T150000Z
UID:TALK29881@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION: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 t
 his conjecture was proved by Santalo\; despite many important partial resu
 lts\, the first problem is still  open in dimensions 3 and higher. In this
  talk we will discuss some recent progress\nand ideas concerning this conj
 ecture.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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