3:45PM: Double ramification cycles and tautological relationsEmily CladerTautological relations are certain equations in the Chow ring of the moduli space of curves. I will discuss a family of such relations, first conjectured by A. Pixton, that arises by studying moduli spaces of ramified covers of the projective line. These relations can be used to recover a number of wellknown facts about the moduli space of curves, as well as to generate very special equations known as topological recursion relations. This is joint work with various subsets of S. Grushevsky, F. Janda, X. Wang, and D. Zakharov.

5:00PM: Hodge Theory on MatroidsChris EurWe 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 numbersthe RotaWelsh Conjecture and the DowlingWilson Conjecture.
