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GTC Main Seminar: Discrete slicing problems October 31, 2017 (10:00 AM PDT - 11:00 AM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Martin Henk (TU Berlin)
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The well-known  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 (and related problems) when the volume functional is  replaced by the lattice point enumerator.

(Based on joint works with Matthew Alexander, Artem Zvavitch and Sören L. Berg) 

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