Department of Mathematics

Seminar in Cluster algebras

  •  Linhui Shen, Michigan State University
  •  Cluster Algebras and Representation Theory Part I
  •  11/16/2017
  •  10:00 AM - 10:50 AM
  •  C304 Wells Hall

One of the main motivations for the study of cluster algebras is to provide an algebraic-geometric framework for studying problems arising from representation theory. In the first talk, we will focus on the cluster theory of configuration spaces of decorated flags. The tropical sets of the latter spaces parametrize top components of the affine Grassmannian convolution varieties. By the geometric Satake Correspondence, they parametrize bases in the tensor invariants of representations of the Langlands dual groups. If time permits, I will talk about their connections with Fock-Goncharov Duality Conjecture and Mirror Symmetry.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science