- Date de réalisation : 28 Juin 2016
- Durée du programme : 61 min
- Classification Dewey : Mathématiques
Dans la même collectionC. Spicer - Minimal models of foliations F. Touzet - About the analytic classification of two dimensional neighborhoods of elliptic curves S. Druel - A decomposition theorem for singular spaces with trivial canonical class (Part 5) A. Höring - A decomposition theorem for singular spaces with trivial canonical class (Part 3) H. Guenancia - A decomposition theorem for singular spaces with trivial canonical class (Part 2) E. Amerik - On the characteristic foliation
Greg McShane - Volumes of hyperbolics manifolds and translation distances
Schlenker and Krasnov have established a remarkable Schlaffli-type formula for the (renormalized) volume of a quasi-Fuchsian manifold. Using this, some classical results in complex analysis and Gromov-Hausdorff convergence for sequences of open 3-manifolds due to Brock-Bromberg one obtains explicit upper bounds for the volume of a mapping torus in terms of the translation distance of the monodromy on Teichmueller space. We will explain Brock-Bromberg's approach to the Thurston's uniformization theorem for hyperbolic manifolds which are mapping tori. In particular the "coarse geometry" of the convex core of a quasi fuchsian manifold.