Algebraic Geometry Seminar
Sam Grushevsky
SUNY Stony Brook
Meromorphic differentials and the geometry of moduli space of Riemann surfaces
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)
Wednesday April 24, 2013 at 4:00 PM in SEO 427