Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série MATH-IHES
Domaines hep-th
Date Lundi 15 Janvier 2018
Heure 16:30
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Maloni
Prenom de l'orateur Sara
Addresse email de l'orateur
Institution de l'orateur University of Virginia
Titre Convex hulls of quasicircles in hyperbolic and anti-de Sitter space
Résumé Thurston conjectured that quasi-Fuchsian manifolds are uniquely determined by the induced hyperbolic metrics on the boundary of their convex core and Mess extended this conjecture to the context of globally hyperbolic anti de-Sitter spacetimes. In this talk I will discuss a universal version of Thurston and Mess' conjectures: any quasisymmetric homeomorphism from the circle to itself is obtained on the convex hull of a quasicircle in the boundary at infinity of the 3-dimensional hyperbolic (resp. anti-de Sitter) space. We will also discuss a similar result for convex domains bounded by surfaces of constant curvature K in (-1,0) in the hyperbolic setting and of curvature K in (-∞,-1) in the anti de-Sitter setting with a quasicircle as their asymptotic boundary. (This is joint work in progress with F. Bonsante, J. Danciger and J.-M. Schlenker.)
Numéro de preprint arXiv
Commentaires Séminaire Géométrie et groupes discrets
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