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4:00 pm Monday, November 29, 2010 Topology Seminar: Character varieties and Algebraic entropyby Asaf Hadari (University of Chicago) in HB 427- Given a surface S, and a group G, one can construct a variety (called a character variety) which parametrizes all representation from \pi_{1}(S) to G up to conjugacy. The mapping class group of S acts on these varieties, an action whose dynamics of this action have been the subject of much study. For a given mapping class, and and a wide collection of character varieties, we compute an invariant called algebraic entropy which gives a measure of the complexity of the action which has an algebraic flavor.
Submitted by shelly@rice.edu |