MIT-Harvard-MSR Combinatorics Seminar

Speaker:  Chris Eur  (Harvard)

Title:  Tautological classes of matroids

Abstract:

Algebraic geometry has furnished fruitful tools for studying matroids, which are combinatorial abstractions of hyperplane arrangements. We first survey some recent developments, pointing out how these developments remained partially disjoint. We then introduce a new framework, dubbed "tautological classes of matroids," that unifies, recovers, and extends these recent developments. Time permitting, we also discuss how the framework can flexibly be adapted to settings beyond matroids. Joint works with Andrew Berget, Alex Fink, June Huh, Matt Larson, Hunter Spink, and Dennis Tseng.