Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects hep-th
Date Monday 15 January 2018
Time 16:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Maloni
Speaker's First Name Sara
Speaker's Email Address
Speaker's Institution University of Virginia
Title Convex hulls of quasicircles in hyperbolic and anti-de Sitter space
Abstract 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.)
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets
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