Geometry and Combinatorics Seminar - Chris Eur (Math)
Speaker: Chris Eur (Stanford University)
Title: Tautological Bundles of Matroids
Abstract: Matroid theory has seen fruitful developments arising from different algebro-geometric approaches, such as the K-theory of Grassmannians and Chow rings of wonderful compactifications. However, these developments have remained somewhat disjoint. We introduce "tautological bundles of matroids" as a new geometric framework for studying matroids. We show that it unifies, recovers, and extends much of these recent developments including log-concavity statements, as well as answering some open conjectures. This is an on-going work with Andrew Berget, Hunter Spink, and Dennis Tseng.
https://web.stanford.edu/~chriseur/