[Oberseminar Diff. Geometry/Venue: Lipschitz-Saal, Endenicher Allee 60] "Stability of hyperbolic metrics"

Please note the VENUE of this talk:
Lipschitz-Saal, Endenicher Allee 60, Math. Center, Bonn University.
Contact: Stephan Stadler (stadler@mpim-bonn.mpg.de).

We show that if a 3-manifold admits a metric of finite volume
that is almost hyperbolic in a suitable, then there exists a hyperbolic
metric that is close to the given metric in the $C^{2,\alpha}$-topology.
We then discuss an application of this result to the drilling and filling of
hyperbolic 3-manifolds. The talk is based on joint work with Ursula
Hamenstädt.