Title: Moduli Spaces and the Mapping Class Group
Speaker: Misha Verbitsky, Higher School of Economics (Moscow)
Date: Tuesday, November 5, 2013
Time: 1:00pm – 2:00pm
Place: Lecture Hall 102, Simons Center
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Abstract Let Comp be an infinite-dimensional space of all complex structures on a manifold, and Diff_0 a connected component of a group of diffeomorphisms (the group of isotopies). Define the Teichmuller space Teich of a complex manifold as a quotient Comp/Diff_0. The moduli space of complex structures is naturally identified with the quotient of Comp by diffeomorphism group, that is, with Teich/G, where G is a group of connected components of the diffeomorphisms group (also known as the mapping class group). I will describe the action of G on Teich for complex torus, highlighting the unexpected ergodic phenomena which were observed recently.