Jon Pål Hamre: Schubert coefficients of matroids

Abstract: We introduce a set of matroid invariants called Schubert coefficients. To define and understand the Schubert coefficients we use tools from algebraic geometry such as Schubert calculus and toric geometry. The main goal of the talk is to prove the non-negativity of the Schubert coefficients of sparse paving matroids, and hopefully convince the audience that these are interesting matroid invariants.