Tautological bundles of matroids
Christopher Eur (Stanford)
Abstract: Recent advances in matroid theory via tropical geometry broadly fall into two themes: One concerns the K-theory of Grassmannians, and the other concerns the intersection theory of wonderful compactifications. How do these two themes talk to each other? We introduce the notion of tautological bundles of matroids to unite these two themes. As a result, we give a geometric interpretation of the Tutte polynomial of a matroid that unifies several previous works as its corollaries, deduce new log-concavity statements, and answer few conjectures in the literature. This is an ongoing project with Andrew Berget, Hunter Spink, and Dennis Tseng.
algebraic geometrycombinatorics
Audience: researchers in the topic
Online Nottingham algebraic geometry seminar
Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.
For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html
Organizers: | Alexander Kasprzyk*, Johannes Hofscheier*, Erroxe Etxabarri Alberdi |
*contact for this listing |