There are natural incidence structures on the boundary of the complex hyperbolic space and on some suitable boundary S associated to the group SU(m,n) that have striking rigidity properties: I will describe a geometric proof of the fact that a map from the boundary of the complex hyperbolic space to S that preserves these incidence structures needs to be algebraic. Time permitting I will also show how this implies that, if G is a lattice in SU(1,p), the only Zariski dense maximal representation of G in SU(m,n), with n greater than m, is the lattice embedding in SU(1,p).
Dienstag, den 15. Juli 2014 um 13.30 Uhr, in INF 288, HS 5 Dienstag, den 15. Juli 2014 at 13.30, in INF 288, HS 5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard