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SUMMARY:Convex cocompact actions of Coxeter groups - Fanny Kassel\, IHES
DTSTART:20181017T150000Z
DTEND:20181017T160000Z
UID:TALK108928@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:We study actions of Coxeter groups by reflections on properly 
 convex sets in real projective space\, as a generalization of actions by r
 eflections on real hyperbolic space. Cocompact such actions only exist in 
 small dimension\, by work of Vinberg and Januszkiewicz-Swiatkowski. Howeve
 r\, convex cocompact such actions exist in any dimension\, and we will des
 cribe their moduli space. The case of Gromov hyperbolic Coxeter groups yie
 lds so-called Anosov representations\, with strong dynamical properties. T
 his is joint work with J. Danciger\, F. Guéritaud\, G.-S. Lee\, and L. Ma
 rquis. 
LOCATION:MR13
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