Quiver mutations, reflection groups and curves on punctured disc
| Dates: | 21 February 2019 |
|---|
| Times: | 15:00 - 15:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
|---|
| Speaker: | Professor Anna Felikson |
|---|
|
|
Mutations of quivers were introduced by Fomin and Zelevinsky in 2002 in the context of cluster algebras. For some classes of quivers, mutations can be realised using geometric or combinatorial models. We will discuss a construction of a geometric model for all acyclic quivers. The construction is based on the geometry of reflection groups acting in quadratic spaces. As an application, we show an easy and explicit way to characterise real Schur roots (i.e. dimension vectors of indecomposable rigid representations of Q over the path algebra kQ), which proves a recent conjecture of K.-H. Lee and K. Lee for a large class of acyclic quivers.
Speaker
Professor Anna Felikson
Organisation: University of Durham
Travel and Contact Information
Find event
Frank Adams Room 1
Alan Turing Building
Manchester
