## Geometry and Representation Theory Seminar

### Monday, April 1st, 2019

**Time:** 4:30-5:30 p.m. **Place:** Jeffery Hall 319

**Speaker:** Ba Nguyen (Queen's University)

**Title:** A Combinatorial Model for Detecting Cluster Variables of Type D Cluster Algebras

**Abstract: ** Perfect Matchings of a Snake Diagram, which was developed by G. Musiker, R. Schiffler and L. Williams, can be employed to compute cluster variables of a type D cluster algebra. Based on that model we have developed a new model called Globally Compatible Sequence. In this talk, we will discuss how to find cluster variables using this model. To have a better understanding of those cluster variables, description of their denominator vectors will also be introduced.