Minimal entropy for locally symmetric spaces
Event details
| Date | 05.11.2014 |
| Hour | 16:30 › 17:30 |
| Speaker | Louis Merlin (Bordeaux) |
| Location |
GR A3 30
|
| Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: The volume entropy is the exponential growth rate of the volume of balls in a Riemannian manifold. An old conjecture by Gromov and Katok states that one can recover many geometric informations only with the knowledge of the volume entropy, in particular in the case of locally symmetric spaces.
I will give a presentation of this problem and several related topics. A recent approach answers the conjecture in the case of compact quotients of (\mathbb{H}^2)^n.
Abstract: The volume entropy is the exponential growth rate of the volume of balls in a Riemannian manifold. An old conjecture by Gromov and Katok states that one can recover many geometric informations only with the knowledge of the volume entropy, in particular in the case of locally symmetric spaces.
I will give a presentation of this problem and several related topics. A recent approach answers the conjecture in the case of compact quotients of (\mathbb{H}^2)^n.
Practical information
- Expert
- Free
Organizer
- Sonja Hohloch