Commutative Algebra and Algebraic Geometry: Hodge Theory on Matroids

Seminar | February 7 | 5-6 p.m. | 939 Evans Hall

 Chris Eur, UC Berkeley

 Department of Mathematics

We discuss recent developments by June Huh and others on the application of Hodge techniques to matroids. We introduce the Chow ring of a matroid and explore its relationship to the usual Chow rings in toric geometry. We then discuss its role in the solution of the two major conjectures concerning the unimodality of the Whitney numbers—the Rota-Welsh Conjecture and the Dowling-Wilson Conjecture.