4:00 pm Monday, November 29, 2010
Topology Seminar: Character varieties and Algebraic entropy
by 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. Host Department: Rice University-Mathematics Submitted by shelly@rice.edu |