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Home » GTC Graduate Seminar: Ehrhart polynomial of a polytope plus scaling zonotope

Seminar

GTC Graduate Seminar: Ehrhart polynomial of a polytope plus scaling zonotope December 04, 2017 (03:30 PM PST - 04:30 PM PST)
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Location: MSRI: Baker Board Room
Speaker(s) Sam Hopkins (Massachusetts Institute of Technology)
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In 1980 Stanley proved that the coefficients of the Ehrhart polynomial of a lattice zonotope (i.e., a Minkowski sum of lattice vectors) are nonnegative integers. I will review this result, and also describe a slight extension which recently came up in my research: namely, the number of points in any polytope plus a scaling lattice zonotope is given by a polynomial with nonnegative integer coefficients.

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