Geometry, Topology and Dynamics Seminar
Kasra Rafi
University of Chicago
Convexity of lengths along a Teichmuller geodesic
Abstract: We will show that both the extremal length and the hyperbolic
length
of a simple closed curve along a Teichmuller geodescic are quasi-convex
functions of time. We conclude that a round ball in Teichmuller space
is quasi-convex. It is notable that these lengths are not in general
strictly
convex functions.
Monday April 14, 2008 at 3:00 PM in SEO 612