CSM Classes for Matroids - Intersection Theory and Combinatorial Invariants

Learn about the extension of intersection theory into combinatorial matroids during this 87-minute lecture from Florida State University's Paolo Aluffi. Explore the overlap between geometric and combinatorial settings in hyperplane arrangements while examining basic invariant definitions in their combinatorial form. Delve into the CSM class of a matroid as defined by Lopez-Rincon-Shaw, discovering a new formula derived through geometric tools that proves Fife and Rincon's conjecture on class coefficients for arbitrary matroids. The presentation incorporates research contributions from students Franquiz Caraballo-Alba and Jeffery Liu.