Geometry, Topology and Dynamics Seminar
Subhojoy Gupta
Yale University
Asymptoticity of grafting and Teichmuller rays
Abstract: We shall discuss a result showing that any grafting ray in Teichmuller space is (strongly) asymptotic to a Teichmuller geodesic ray. Our method involves constructing quasiconformal maps between the underlying Thurston metric of a complex projective surface on one hand, and the
singular flat metric induced by a holomorphic quadratic differential on the other. As a consequence we can show that the set of points in Teichmuller
space obtained by integer graftings on any hyperbolic surface projects to a dense set in moduli space.
Monday April 23, 2012 at 3:00 PM in SEO 636