## Department Colloquium

### Friday, October 23rd, 2020

**Time:** 2:30 p.m. **Place:** Online (via Zoom)

**Speaker:** Emine Yildirim (Queen’s University)

**Title:** Graphs and Combinatorics in Representation Theory of Algebras.

**Abstract: ** Representation theorists of ﬁnite dimensional algebras often use quivers, also known as directed graphs, and many other combinatorial tools associated with these quivers. This is because we understand the module category of algebras via representation of quivers. On the other hand, we also capture the beautiful combinatorics of cluster algebras via the same representation theory. In this talk, I will outline how this machinery works along with some recent results on Cluster Categories we obtained joint with Charles Paquette using the combinatorics and representations theory of quivers.

**Emine Yildirim** is a Coleman Research Fellow within the Department of Mathematics and Statistics at Queen’s University. She obtained her Ph.D. in Mathematics from the Universite du Quebec a Montreal in 2018. She is mainly interested in representation theory of algebras, speciﬁcally path algebras, incidence algebras, and their representations. She also works on cluster algebras, their categoriﬁcation and related combinatorics.