Dynamics of Anosov representations

Spring 2021 - Centre Paul Langevin, Aussois, France.

Organizers: Fanny Kassel, Andrea Seppi, and Jérémy Toulisse.

This workshop is intended for young researchers.

The goal is to study various geometric and dynamical aspects of Anosov representations of word hyperbolic groups into semisimple Lie groups.

Each speaker will give a 2.5 hour lecture on a topic that will be assigned before the workshop. This format is based on the Log Cabin workshops of the GEAR network.

List of the talks:

  • Introduction to higher Teichmüller theory
  • Anosov representations: definition and first characterizations
  • Anosov representations and uniform domination
  • Anosov representations and H^{p,q}-convex cocompactness
  • Anosov representations and strong projective convex cocompactness
  • Examples of Anosov representations using Coxeter groups
  • Cocompact domains of discontinuity I
  • Cocompact domains of discontinuity II
  • The pressure metric
  • The relatively hyperbolic case
  • The precise content of the talks can be found here.

    Participants:

    This workshop is funded by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC starting grant DiGGeS, grant agreement No 715982).