Algebra and Combinatorics Seminar
Date: October 18, 2019
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Tolulope Oke, Texas A&M University
Title: Cup products on Hochschild cohomology of a family of quiver algebras
Abstract: Let k be a field, q\in k. We derive a cup product formula on the Hochschild cohomology HH^*(A_q) of a family $A_q$ of quiver algebras. Using this formula, we determine a subalgebra of k[x,y] isomorphic to HH^*(A_q)/N, where N is the ideal generated by homogeneous nilpotent elements. We discuss a finite generation conjecture in relation to this family.