Geometry & Dynamics Seminar: The renormalized volume of quasifuchsian manifolds
Event details
| Date | 25.02.2015 |
| Hour | 15:15 › 16:30 |
| Speaker | Jean-Marc Schlenker (Univ. of Luxembourg) |
| Location | |
| Category | Conferences - Seminars |
Quasifuchsian hyperbolic manifolds have infinite volume, but physicists have invented (in a broader context) a way to define a "renormalized" volume. By Bers' double uniformization theorem, quasifuchsian manifolds of given topology are parameterized by the product of two copies of the Teichmueller space $T_S$ of a surface $S$. Fixing one of the two parameters, the renormalized volume defines a function which is a Kaehler potential for the Weil-Petersson metric on $T_S$. In addition it is almost equal (up to additive constants) to the volume of the convex core, and is therefore "quasi-equivalent" to the Weil-Petersson distance between the conformal structures at infinity. This makes it a useful tool to study the Weil-Petersson geometry of $T_S$.
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Marc Troyanov