Title: Dynamics on an infinite translation surface
Speaker: Professor Patrick Hooper
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:
A translation surface is a surface built by gluing together polygons in the plane by translations. Veech made strong statements about the dynamics of the geodesic flow on translation surfaces built by gluing together regular n-gons. We will obtain an infinite area translation surface with infinite genus by applying a limiting process to surfaces built from regular n-gons and letting n go to infinity. We will investigate properties of various dynamical systems on this surface. In particular, we will study the action of the surface's affine automorphism group, which corresponds to a lattice in SL(2,R).Date: Tuesday, October 09, 2007