Algebraic Geometry Seminar
Dawei Chen
UIC
Geometry of Teichmuller curves
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.
Thursday September 2, 2010 at 4:00 PM in SEO 636