Paolo Aluffi, Florida State University: CSM classes for matroids
ฝัง
- 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.