Discrete group actions on symmetric spaces
Event details
| Date | 27.05.2014 |
| Hour | 16:15 › 17:15 |
| Speaker | Bernhard Leeb (LMU Munich) |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: I will first discuss Kleinian groups acting on the hyperbolic space. A rich and particularly well-behaved class are the so-called convex cocompact groups. This class admits a number of rather different equivalent characterizations in terms of geometry and dynamics. I will then explain that some of these characterizations remain useful for discrete subgroups C<G of isometry groups of higher rank symmetric spaces, such as G=SL(n,R). They yield an interesting class of subgroups which turns out to coincide with the (images of the) Anosov representations introduced by Labourie and generalized by Guichard and Wienhard. If time permits, I will present results, of geometric invariant theory flavour, on the dynamics of such subgroups on the associated flag manifolds. This is joint work with Misha Kapovich and Joan Porti.
Abstract: I will first discuss Kleinian groups acting on the hyperbolic space. A rich and particularly well-behaved class are the so-called convex cocompact groups. This class admits a number of rather different equivalent characterizations in terms of geometry and dynamics. I will then explain that some of these characterizations remain useful for discrete subgroups C<G of isometry groups of higher rank symmetric spaces, such as G=SL(n,R). They yield an interesting class of subgroups which turns out to coincide with the (images of the) Anosov representations introduced by Labourie and generalized by Guichard and Wienhard. If time permits, I will present results, of geometric invariant theory flavour, on the dynamics of such subgroups on the associated flag manifolds. This is joint work with Misha Kapovich and Joan Porti.
Practical information
- Expert
- Free
Organizer
- Martins Bruveris, Sonja Hohloch, Marc Troyanov