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GTC Graduate Seminar: Zonotopal Algbera October 16, 2017 (03:30 PM PDT - 04:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Gleb Nenashev (University of Stockholm)
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I will speak about Zonotopal algebras, which were defined for arbitrary zonotopes. There are three types of these algebras: external, central, and internal. These algebras have a number of interesting properties. Their Hilbert series are specializations of the corresponding Tutte polynomial. In the case of unimodular zonotopes: the total dimensions are the number of lattice points, the volume, and the number of interior lattice points resp. In the graphical case: the first two algebras enumerate spanning forests and trees. I will focus more on the external case, which is more natural. In fact, an external zonotopal algebra remembers the combinatorial structure of its zonotope.

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