Generalized harmonic maps and superrigidity

Jeudi 10 avril 2008 14:00-15:00 - Karlsson Anders - KTH Stockholm

Résumé : In a joint work with Gelander and Margulis, we prove several superrigidity results for isometric actions on Busemann non-positively curved uniformly convex metric spaces. In particular we generalize some recent theorems of N. Monod on uniform and certain non-uniform irreducible lattices in products of locally compact groups, and we give a proof of an unpublished result on commensurability superrigidity due to G.A. Margulis. The proofs rely on certain notions of harmonic maps and the study of their existence, uniqueness, and continuity.

Lieu : bât. 425 - 121-123

Generalized harmonic maps and superrigidity  Version PDF