Martin Henk: Discrete Slicing Problem
Time: Wed 2017-03-08 10.15 - 11.15
Location: Room 3418, Math department, KTH
Participating: Martin Henk, TU Berlin
Abstract
The well-known (and still open) slicing problem in Convex Geometry
asks whether there exists an absolute constant $c$ so that for every
origin-symmetric convex body $K$ of volume 1 there is a hyperplane
section of $K$ whose $(n − 1)$-dimensional volume is greater than $c$.
Motivated by a question of Alexander Koldobsky, we are studying
a similar slicing problem (as well as related problems)
when the volume functional is replaced by the lattice point enumerator.
(Based on joint works with Matthew Alexander, Sören Berg and Artem Zvavitch.)