Events for 08/11/2020 from all calendars
Geometry Seminar
Time: 10:00AM - 11:00PM
Location: ZooM
Speaker: Tim Seynnaeve, MPI MiS
Title: Flag matroids: algebra and geometry
Abstract: Matroids are one of the central notions in modern combinatorics. They simultaneously generalize the notion of linear independence in a vector space, and the notion of a graph. One of the most important matroid invariants is the Tutte polynomial. In this talk, I will review a geometric interpretation of the Tutte polynomial based on the K-theory of Grassmannians, and introduce a natural generalization to so-called flag matroids. For matroids, the Tutte polynomial is defined combinatorially, and the K-theoretic interpretation is a property. In contrast, for flag matroids, our K-theoretic description serves as a definition for the Tutte polynomial. I will end the talk by discussing some combinatorial properties of this flag-geometric Tutte polynomial. This talk is based on joint work with Rodica Dinu and Chris Eur.