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Presented By: Learning Seminar in Algebraic Combinatorics - Department of Mathematics

Learning Seminar in Algebraic Combinatorics: Intersection theory of matroids

Calvin Yost-Wolff

The main goal of this talk is to find the coefficients of the reduced characteristic polynomial of a matroid as the mixed intersection numbers of hyperplanes (\alpha classes) with reciprocal hyperplanes (\beta classes). I will begin by reviewing the Chow ring of wonderful compactifications and studying honest intersections. Then we will survey a few combinatorially arguments which show a similar formula holds for general matroids.

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