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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 269 - Combinatorics
Yasuhide Numata
Shinshu University
The strong Lefschetz property for Artin Gorenstein algebras associated to matroids
Abstract:
We consider a certain class of finite-dimensional Gorenstein algebras associated to matroids. We show the Lefschetz property in the case where the matroid corresponds to a modular geometric lattice. Our result implies that the modular geometric lattice has the Sperner property. We also discuss the Grobner fan of the defining ideal of our Gorenstein algebra.
Host: Brendon Rhoades
February 19, 2019
1:00 PM
AP&M 7321
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