|Non-linear representation theory of finitely generated groups|
Abstract: By a non-linear representation of a finitely generated group G, we mean an action of G on a smooth compact manifold M by volume preserving diffeomorphisms. In other words, a homomorphism from G into Diffomega(M). Ideally, one would like to classify non-linear representations, at least for large enough G and small enough M. I will survey a wide variety of results and techniques for approaching this problem, before concentrating on my recent joint work with Margulis. In this work, we consider the question of rigidity of non-linear representations of both higher rank lattices and, more generally, groups with property T of Kazhdan. We call a non-linear representation rigid if any perturbation is conjugate back to the original representation.
|Web page: Alexandru I. Suciu||Comments to: email@example.com|
|Posted: March 31, 2003||URL: http://www.math.neu.edu/bhmn/fisher.html|