Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Monday 7 October 2019
Time 16:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Toulisse
Speaker's First Name Jérémy
Speaker's Email Address
Speaker's Institution Université de Nice-Sophia Antipolis
Title Quasi-circles and Maximal Surfaces in the Pseudo-hyperbolic Space
Abstract Quasi-circles in the complex plane are fundamental objects in complex analysis; they were used by Bers to define an infinite-dimensional analogue of the usual Teichmüller space. After introducing the notion of quasi-circles in the boundary of the pseudo-hyperbolic space H^2,n, I will explain how to construct a unique complete maximal surface in H^2,n bounded by a given quasi-circle. This construction relies on Gromov's theory of pseudo-holomorphic curves and provides a generalization of maximal representations of surface groups into rank 2 Lie groups. This joint work with François Labourie and Mike Wolf.
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets
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