Talking About Combinatorial Objects Student Seminar: The Matroid-Minor Hopf Algebra

Seminar | October 20 | 1-2 p.m. | 748 Evans Hall

 Mario Sanchez, UC Berkeley

 Department of Mathematics

In this talk I will introduce the theory of Hopf algebras as an abstraction of the notion of composition and decomposition. I will focus mainly on a Hopf algebra that arises from matroids and use this view point to understand the more general and abstract constructions. As an application of this theory, we will study a few polynomial invariants of matroids and the strange phenomenon that is combinatorial reciprocity. No prior knowledge of Hopf algebras required!