Convex cocompact actions of Coxeter groups

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• Fanny Kassel, IHES
• Wednesday 17 October 2018, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

We study actions of Coxeter groups by reflections on properly convex sets in real projective space, as a generalization of actions by reflections on real hyperbolic space. Cocompact such actions only exist in small dimension, by work of Vinberg and Januszkiewicz-Swiatkowski. However, convex cocompact such actions exist in any dimension, and we will describe their moduli space. The case of Gromov hyperbolic Coxeter groups yields so-called Anosov representations, with strong dynamical properties. This is joint work with J. Danciger, F. Guéritaud, G.-S. Lee, and L. Marquis.

This talk is part of the Differential Geometry and Topology Seminar series.

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