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 |

Abstract: |

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 |