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Convex cocompactness in real projective geometry

Presented by: 
Fanny Kassel CNRS (Centre national de la recherche scientifique)
Date: 
Wednesday 10th May 2017 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
We will discuss a notion of convex cocompactness for discrete groups preserving a properly convex open domain in real projective space. For hyperbolic groups, this notion is equivalent to being the image of a projective Anosov representation. For nonhyperbolic groups, the notion covers Benoist's examples of divisible convex sets which are not strictly convex, as well as their deformations inside larger projective spaces. Even when these groups are nonhyperbolic, they still share some of the good properties of classical convex cocompact subgroups of rank-one Lie groups; in particular, they are quasi-isometrically embedded and structurally stable. This is joint work with J. Danciger and F. Guéritaud.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons