Seminar
| Parent Program: | |
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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)