Geometry of polymatroids

Abstract: Just as matroids are combinatorial abstractions of hyperplane arrangements, polymatroids are combinatorial abstractions of subspace arrangements. In recent years, algebraic geometry has inspired many theorems about matroids. I will describe work establishing polymatroidal analogues of some of these results, often by reducing to the case of matroids. Joint work with Colin Crowley, Christopher Eur, June Huh, Connor Simpson, and Botong Wang.

commutative algebraalgebraic geometrycombinatorics

Audience: researchers in the topic

Matroids - Combinatorics, Algebra and Geometry Seminar