Event Detail

Event Type: 
Geometry-Topology Seminar
Date/Time: 
Monday, October 12, 2015 - 12:00 to 13:00
Location: 
Gilkey 115

Speaker Info

Local Speaker: 
Abstract: 

The space of Euclidean/spherical/hyperbolic polyhedral metrics on a surface with cone points is the set of all equivalence classes of Euclidean/spherical/hyperbolic polyhedral metrics on the surface. The decorated Teichm├╝ller space is the set of all decorated hyperbolic metric on the surface minus the cone points up to isometry isotopic to the identity map. The Teichm├╝ller space of a surface with boundary is the space of all equivalence classes of hyperbolic metrics with geodesic boundary on the surface minus the cone points. The five spaces of metrics are C^1-diffeomorphic to each other. The diffeomorphisms are equivariant under the action of the mapping class group.