Stellahedral geometry of matroids

Abstract: The main result is that valuative, homological, and numerical equivalence relations for matroids coincide. The central construction is the "augmented tautological classes of matroids," modeled after certain vector bundles on the stellahedral toric variety. Based on joint work with Chris Eur and Matt Larson, arxiv.org/abs/2207.10605.

commutative algebraalgebraic geometrycombinatorics

Audience: researchers in the topic

Matroids - Combinatorics, Algebra and Geometry Seminar