PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mary Anne Raymond.

Title:Kahler structures on ML and applications
Seminar:Center for Dynamics and Geometry Seminars
Speaker:David Dumas, University of Illinois at Chicago
Abstract:
The space ML of measured geodesic laminations on a hyperbolic surface S has a natural symplectic structure, which was described by Thurston using train track coordinates. On the other hand, for any complex structure X on S, there is a natural identification between ML and the vector space Q(X) of holomorphic quadratic differentials on X. We show that this identification is compatible with both the symplectic structure of ML and the complex structure of Q(X), inducing a (stratified, singular) Kaehler structure on each of them. If time permits we will also describe how these Kahler structures can be used in the study of skinning maps of hyperbolic 3-manifolds.

Room Reservation Information

Room Number:MB106
Date:02 / 23 / 2011
Time:04:30pm - 05:30pm