## Algebra & Geometry Seminar - Charles Paquette (Royal Military College & Queen's University)

### Monday, September 27th, 2021

**Time:** 4:30 p.m ** Place:** Online via Zoom (contact Kaveh Mousavand for Zoom link)

**Speaker:** Charles Paquette (Royal Military College & Queen's University)

**Title:** Simple representations over free products of semi-simple algebras via quivers

**Abstract:** This is a report on joint work with Andrew Buchanan, Ivan Dimitrov, Olivia Grace, David Wehlau and Tianyuan Xu. We consider a free product A of semi-simple K-algebras over an algebraically closed field and show how representation theory of a suitable finite acyclic quiver Q can be used to understand the representation theory of A. In particular, we show that the simple A-modules correspond to stable representations of Q for some stability parameter. We apply this to the representation theory of free products of finite groups.

**Website details here:** https://mast.queensu.ca/~georep/