Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics
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Algebra & Geometry Seminar

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/

Algebra & Geometry Seminar - Kaveh Mousavand (Queen's University)

Monday, September 20th, 2021

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

Speaker: Kaveh Mousavand (Queen's University)

Title: Module varieties of biserial algebras

Abstract: Biserial algebras form and important family of tame algebras which contain several interesting families, such as gentle, string and special biserial algebras. In our ongoing joint work with Charles Paquette, we have verified a recent conjecture on the behavior of Schur representations (a.k.a bricks) over biserial algebras. This allows us to better describe the behavior of irreducible components of moduli spaces of representations over biserial algebras and also relate our results to the recent work of Chindris-Kinser-Weyman on the semi-invariants of the ring of polynomials of every such components.

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