Dawei Chen : Geometry of Teichmuller curves

Posted by , part of the Algebraic Geometry Seminar.

At

Sept. 2, 2010, 4 p.m.

In

SEO 636

Abstract

We study the geometry of Teichmuller curves parameterizing square-tiled Riemann surfaces (i.e. covers of elliptic curves with a unique branch point). The results can be applied to the following questions in algebraic geometry and complex dynamics: (a) Produce rigid curves on the moduli space of pointed rational curves; (b) Bound the cone of effective divisors on the moduli space of curves; (c) Calculate the Lyapunov exponents of the Hodge bundle over the moduli space of differentials; (d) Verify the invariance of Siegel-Veech constants in low dimensional strata.