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Thursday, November 10, 2005

**Abstract:** Surgery theory has been successfully used to classify manifolds up to diffeomorphism or homeomorphim (in dimensions larger than 4). However, classical surgery theory is not strong enough to determine the topological groups of self- homeomorphims or self-diffeomorphisms of a manifold. In my talk I'll explain how Michael Weiss and I combine together surgery with higher algebraic K-theory to study this problem.