Cluster algebras and Nakajima's quiver varieties

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon, Kendra Stauffer, Matthew Peddie.

Speaker: Li Li, Oakland University

Abstract: Nakajima's quiver varieties are smooth complex algebraic varieties associated with quivers. They are introduced in the study of representations of Kac-Moody Lie algebras. The categories of perverse sheaves on Nakajima's quiver varieties can be used to study various bases of cluster algebras. In this talk, I will talk about some recent progress on the geometry of Nakajima's quiver varieties and how it helps us to locate the supports of triangular basis of skew-symmetric rank 2 cluster algebras.

Room Reservation Information

Room Number: 320 Whitmore

Date: 02/13/2018

Time: 2:30pm - 3:30pm