About a couple of global invariants of quaternionic hyperbolic manifolds
Event details
| Date | 28.10.2015 |
| Hour | 15:15 › 17:30 |
| Speaker | Zoé Philippe (Nantes) |
| Location |
CM-010
|
| Category | Conferences - Seminars |
It has been known since the end of the 60's (with the work of Kazdan and Margulis and Wang), that any locally symmetric manifold or orbifold of non-compact type contains an embedded ball of radius r(G) depending only on the isometry group G of its universal cover. This implies in particular the existence of a constant bounding the volume of the quotient of a given symmetric space by below. Therefore, if one fixes such a space, (at least!) two questions arise naturally: derive explicitly this maximal radius r(G) -or at least bound it- and exhibit the minimal volume of its quotients together with the lattices that realize it.
In real rank 1, the symmetric spaces of non-compact type are the
hyperbolic spaces on \R, \C, and on the quaternions \H (and the Cayley plane). In this talk, I will discuss a couple of extremal properties of the quotients of the quaternionic hyperbolic space.
Note : An introductory talk will be given by Thomas Zwahlen at 15:15 and the Speaker's talk per se will start at 16:30
In real rank 1, the symmetric spaces of non-compact type are the
hyperbolic spaces on \R, \C, and on the quaternions \H (and the Cayley plane). In this talk, I will discuss a couple of extremal properties of the quotients of the quaternionic hyperbolic space.
Note : An introductory talk will be given by Thomas Zwahlen at 15:15 and the Speaker's talk per se will start at 16:30
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Louis Merlin
Contact
- Louis Merlin