You are cordially invited to our next Monday Lecture on May 3rd.
Invitation link: Zoom - Invitation Time: Monday, May 3rd - 16:30 h !! Lecture: Chris Eur (Stanford University) Title: Tautological classes of matroids Abstract:We introduce certain torus-equivariant classes on permutohedral varieties which we call "tautological classes of matroids" as a new geometric framework for studying matroids. Using this framework, we unify and extend many recent developments in matroid theory arising from its interaction with algebraic geometry. We achieve this by establishing a Chow-theoretic description and a log-concavity property for a 4-variable transformation of the Tutte polynomial, and by establishing an exceptional Hirzebruch-Riemann-Roch-type formula for permutohedral varieties that translates between K-theory and Chow theory. This is a joint work with Andrew Berget, Hunter Spink, and Dennis Tseng. |