Date: Wednesday, February 27, 2013
Location: 4096 East Hall (4:10 PM to 5:00 PM)
Title: Some remarks on Mahler's conjecture for convex bodies
Abstract: The volume product (Mahler volume) of origin symmetric convex body K is just a product of volume of K and its its dual/polar body. It turned out to be quite a useful object in Functional Analysis and Convex Geometry. Santalo inequality tell us that the volume product takes its maximal value at the Euclidean Ball. Mahler conjectured that the volume product is minimized by a cube. Despite many important partial results, the conjecture is still open in dimensions 3 and higher. In this talk we will discuss some recent progress and ideas concerning this conjecture.
Speaker: Artem Zvavitch
Institution: Kent State University
Event Organizer:
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