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Workshop

Double uniformisations’ cousin: complex projective spaces and anti de Sitter space.

  • François Labourie (University Côte d'Azur, France)
E1 05 (Leibniz-Saal)

Abstract

After recalling the double uniformisation for the complex projective spaces and related notions, we explain the similar picture for anti de Sitter space, where the unit disk/hyperbolic space is replaced by the annulus/de Sitter space. We also prove the main properties of the cousins of Epstein surface, W-volume. We define finally a Liouville action for metrics, smooth enough crossratios and positive curves.

This is a joint work with Jérémy Toulisse and Yilin Wang.

Antje Vandenberg (administrative contact)

Max Planck Institute for Mathematics in the Sciences Contact via Mail

J. Audibert, X. Flamm, K. Tsouvalas, T. Weisman (organizational contact)

Olivier Guichard

Université de Strasbourg

Fanny Kassel

Institut des Hautes Études Scientifiques

Anna Wienhard

Max Planck Institute for Mathematics in the Sciences