I will first discuss Kleinian groups acting on hyperbolic space. A rich and particularly well-behaved class are the so-called convex cocompact groups. This class admits a number of rather different equivalent characterizations in terms of geometry and dynamics. I will then explain that some of these characterizations remain useful for discrete subgroups of higher rank semisimple Lie groups, such as $SL(n,R)$. They yield an interesting class of subgroups which turns out to coincide with the Anosov subgroups introduced by Labourie and Guichard-Wienhard. I will present results, of geometric invariant theory flavour, on the dynamics of such subgroups on the associated flag manifolds. This is joint work with Misha Kapovich and Joan Porti.
Donnerstag, den 30. Januar 2014 um 17 Uhr c.t. Uhr, in INF 288, HS 2 Donnerstag, den 30. Januar 2014 at 17 Uhr c.t., in INF 288, HS 2
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. A. Wienhard