Sam Grushevsky : Meromorphic differentials and the geometry of moduli space of Riemann surfaces

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

April 24, 2013, 4 p.m.

In

SEO 427

Abstract

We use meromorphic differentials with real periods on Riemann surfaces to define local coordinates on the moduli space, similar to the period coordinates for the moduli of abelian differentials, and apply this construction to study the geometry of moduli spaces of curves, in particular focusing on complete subvarieties and homology, as well as cusps of plane curves. This talk will not assume advanced background in either moduli stacks or Teichmuller dynamics. (joint work with Igor Krichever)