Homogeneous Dynamics and Anosov Representations: Geometric limits of convex-cocompact and Anosov representations
Presenter
April 24, 2026
Keywords:
- discrete subgroups
- semisimple Lie groups
- Anosov representations
- convex projective geometry
- entropy
- geometric structures
- Hitchin representations
- homogeneous dynamics
- mixing
- thermodynamic formalism
- thin subgroups
MSC:
- 20-XX - Group theory and generalizations
- 22-XX - Topological groups
- Lie groups
- 37-XX - Dynamical systems and ergodic theory
- 53-XX - Differential geometry
- 57-XX - Manifolds and cell complexes
Abstract
For Kleinian groups there is a very rich study of examples of geometric limits which are different than the algebraic limit, inspired by fundamental examples described by Jorgensen and Kerckhoff-Thurston. I will discuss joint work with Beatrice Pozzetti, where we generalize these examples and study geometric limits "à la Jorgensen" for cyclic and free subgroups of rank-1 Lie groups. I will also describe our work in progress where we generalize this theory to higher rank Lie groups and to surface group representations.