PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yakov Pesin.

Title:Manifolds on the verge of a regularity breakdown
Seminar:Department of Mathematics Colloquium
Speaker:Rafael de la Llave, Georgia Institute of Technology
Abstract:
One way to study the long term behaviour of dynamical systems is to study invariant objects that organize the long term behavior. There are two classical mathematical results that allow one to obtain robust landmarks: "normal hyperbolicity" and "Kolmogorov-Arnold-Moser theory". What we plan to study is what happens when these theories cease to to apply. We plan to describe some scenarios in which there are numerical conjectures, some mathematical proofs and some further conjectures. There are relations with solid state physics, spectral theory, numerics.

Room Reservation Information

Room Number:MB114
Date:01 / 19 / 2012
Time:04:00pm - 05:00pm