PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Local rigidity of algebraic Anosov actions II. A preparatory analytic result.
Seminar:Working Seminar: Dynamics and its Working Tools
Speaker:Andrey Gogolev
We discuss Journe Theorem which is an indispensable tool in modern rigidity theory. Theorem. Consider two complementary continuous foliations of R^n with smooth leaves. If a function u is smooth along the leaves of these foliations then u is smooth. We outline three different approaches to the proof: 1) By estimating decay of the Fourier transform. 2) Based on elliptic differential operator theory. 3) Journe's elementary (but not a simple one) proof by polynomial interpolation. The latter one provides no loss of regularity and doesn't require foliations to be absolutely continuous unlike approaches 1 and 2. This is crucial in some applications.

Room Reservation Information

Room Number:MB216
Date:04 / 01 / 2008
Time:03:30pm - 06:00pm