Rita Jimenez Rolland : Mapping class group and the moduli space of curves

Posted by , part of the Graduate Algebraic Geometry Seminar.

At

Feb. 17, 2011, 3:30 p.m.

In

SEO 712

Abstract

In this talk we will explore the relation between the structure of the mapping class group Mod_g (i.e. the group of homotopy classes of orientation preserving diffeomorphisms of a compact orientable surface of genus g) and the topology of M_g, the moduli space of smooth projective curves of genus g. We will describe the the moduli space M_g as a quotient of Teichmuller space by a natural action of Mod_g, and how this gives us a "rational" classifying space for the discrete group Mod_g.