Videos

Quiver representations and cluster algebras #2

Presenter
August 29, 2012
Keywords:
  • commutative algebra
  • cluster algebra
  • algebraic combinatorics
  • quiver representations
  • Caldero-Chapoton algebra
MSC:
  • 13F60
  • 13Fxx
  • 13-xx
  • 05-xx
  • 13C60
  • 18Dxx
Abstract
In these lectures, we will give an introduction to representations of quivers and show how they can be used in the study of cluster algebras. A central role will be played by the Caldero-Chapoton map, which takes a quiver representation to an element of the (upper) cluster algebra. We will study this map in various settings: module categories, cluster categories and decorated representations of Jacobi algebras.
Supplementary Materials