PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Anatole Katok.

Title:An infinite surface with the lattice property
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Patt Hooper, Northwestern
Abstract:
A translation surface is a surface built by gluing together Euclidean polygons by translations. Fix n to be an integer larger than two. Veech discovered that closed surfaces built by gluing together finitely many regular n-gons has the so called lattice property which implies surprising dynamical properties. (For instance the geodesic flow on these surfaces is ergodic in almost every direction.) We will build an infinite translation surface by taking a limit of Veech's examples as n goes to infinite. The limiting surface has the lattice property, but is infinite in area and genus. We will discuss the question of recurrence for two dynamical systems on this surface, the geodesic flow and an automorphism group.

Room Reservation Information

Room Number:MB106
Date:04 / 07 / 2008
Time:03:35pm - 05:35pm