Title: The Restriction-Contraction Matroid Hopf Algebra

Date: 10/18/2016

Time: 4:10 PM - 5:00 PM

Place: C304 Wells Hall

A graded connected Hopf algebra is often referred to as a combinatorial Hopf algebra. This is largely because many Hopf algebras of this nature arise from combinatorial settings. In general much of the information about a Hopf algebra of this type is given to you by a function called the antipode of the algebra. In this talk we will look at one such Hopf algebra which arises by looking at matroids. We will briefly go over the main concepts from matroid theory that we will need, and then construct the combinatorial Hopf algebra. After that I will present some results for computing the antipode of this Hopf algebra. This talk is designed to be fairly introductory, and shouldn't require any background either in Hopf algebras or in matroid theory.