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 |
Attachments |
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