PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.

Title:Hyperbolic dynamics and properties of the trace map
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Anton Gorodetski, University of California, Irvine
Abstract:
By the trace map we mean the following polynomial map of R^3: T(x,y,z)= (2xy-z, x, y). Despite of its simple form, it is related to complicated mathematical objects such as character varieties of some surfaces, Painlev\'e sixth equation, and discrete Schr\"odinger operator with Fibonacci potential. We use techniques of uniformly hyperbolic and normally hyperbolic dynamics to get new results on dynamics of the trace map that have applications in spectral theory. These is a joint work with D.Damanik.

Room Reservation Information

Room Number:MB106
Date:03 / 18 / 2009
Time:03:30pm - 05:30pm