Tuesday, October 8, 2019 4:00 PM
Chris Eur (Berkeley)

Matroids are combinatorial objects that capture the essence of linear algebra.  We give a gentle introduction to the recent breakthrough in matroid theory via an algebro-geometric approach, a.k.a. the Hodge theory of matroids by Adiprasito, Huh, and Katz.  We will then show how to push the geometry and combinatorics further to give a simplified proof the main portion of the Hodge theory of matroids.  This is joint work with Spencer Backman and Connor Simpson.