Videos

The GL(2,R) action on moduli spaces of translation surfaces, 3

Presenter
January 23, 2015
Keywords:
  • symmetric space
  • positive curvature
  • irreducible spaces
  • totally geodesic subspace
  • Lie groups of Riemannian isomorphisms
  • higher Teichmuller theory
  • hermitian symmetric space
  • surface group
MSC:
  • 30F60
  • 30F20
  • 30F10
  • 30Fxx
  • 37F30
  • 37Fxx
  • 37-xx
Abstract
This three lecture mini-course will assume no prior background. The first lecture will introduce translation surfaces and their moduli. The second lecture will discuss the GL(2,R) action on these moduli spaces, and the connection to dynamical problems on translation surfaces. The third lecture will discuss orbit closures for the GL(2,R) action.