Connections to Schubert Calculus Learning Seminar

One way to define a matroid is via its base polytope.  From this point of view, some matroid invariants easily have geometric interpretations: e.g., the number of bases is the number of vertices of the polytope.  It turns out that most interesting matroid invariants are also geometric, in the sense that they are valuative.  Valuative invariants are linear functionals on a suitable graded abelian group of matroids, modulo valuative equivalence.  Remarkably, this group can be identified with the Chow ring of the stellahedral or permutohedral