Intersection theory of matroids

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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Date published: Wednesday, November 6, 2024