Videos

Scattering diagrams from stability conditions

Presenter
March 30, 2016
Keywords:
  • quivers
  • quiver representations
  • algebraic combinatorics
  • representation theory
  • category theory
  • Jacobi algebra
MSC:
  • 18E30
  • 18E35
  • 16G60
  • 16G20
  • 16Gxx
  • 13F60
Abstract
Stability conditions on triangulated categories allow us to define moduli spaces of objects in the category which undergo wall-crossing as the stability condition varies. We will consider certain Calabi-Yau-3 triangulated categories whose space of stability conditions has a wall-and-chamber structure which "categorifies" mutation in a corresponding cluster algebra. Following a recent article of Bridgeland I will show how to enhance this wall-and-chamber structure to a scattering diagram which in certain cases coincides with the scattering diagram associated to the cluster algebra by Gross-Hacking-Keel-Kontsevich.
Supplementary Materials