Paolo Aluffi, Florida State University: CSM classes for matroids

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  • เผยแพร่เมื่อ 19 ธ.ค. 2024
  • Paolo Aluffi, Florida State University: CSM classes for matroids
    Intersection theory has been extended to the combinatorial setting of matroids, overlapping the geometric setting in the case of hyperplane arrangements. I will review definitions of basic invariants in their combinatorial avatar, and focus on the CSM class of a matroid, defined by Lopez-Rincon-Shaw. A new formula for this class was obtained by applying tools from geometry, leading to a proof of a conjecture of Fife and Rincon on the coefficients of the class for arbitrary matroid. The talk will be based in part on the work of two of my students:
    Franquiz Caraballo-Alba and Jeffery Liu.

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