Non-linear representation theory of finitely generated groups


David Fisher

CUNY/Lehman College

Harvard University

Thursday, May 1, 2003


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


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.


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Posted: March 31, 2003    URL: