Conférence

Greg McShane - Volumes of hyperbolics manifolds and translation distances

Réalisation : 28 juin 2016 Mise en ligne : 28 juin 2016
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Descriptif

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.

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Anglais
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CC BY-NC_ND 4.0
Citer cette ressource:
I_Fourier. (2016, 28 juin). Greg McShane - Volumes of hyperbolics manifolds and translation distances. [Vidéo]. Canal-U. https://www.canal-u.tv/87201. (Consultée le 28 mai 2022)
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