Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, October 12, 2015 - 12:00 to 13:00

Location:

Gilkey 115

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 Teichmüller 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 Teichmüller 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.