BIMSA > Algebra Seminar Algebra Seminar Cluster algebras of finite mutation type and extended affine Weyl groups
Cluster algebras of finite mutation type and extended affine Weyl groups
Organizer
Yu Qiu
Speaker
Pavel Tumarkin
Time
Monday, September 29, 2025 4:00 PM - 5:30 PM
Venue
Online
Online
Zoom 455 260 1552 (YMSC)
Abstract
With (almost) every finite mutation class of quivers we can associate two groups: an extended affine Weyl group of type A or D, and a certain quotient of a Coxeter group which behaves nicely with respect to mutations. I will discuss a connection between these groups and a (conjectural) characterization of mutation-finite quivers in terms of positive semidefinite symmetric matrices. The talk is based on joint works (some still in progress) with Anna Felikson, John Lawson and Michael Shapiro.