Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, October 7, 2013 - 05:00

Location:

Gilkey 115

Local Speaker:

Abstract:

A discrete conformality for hyperbolic cone metrics on surfaces is introduced. It is shown that each hyperbolic cone metric on a surface is discrete conformal to a unique hyperbolic cone metric with prescribed curvature. In particular, a discrete version of the uniformization theorem is obtained. Each hyperbolic cone metric on a surface with negative Euler characteristic is discrete conformal to a unique hyperbolic metric.