For more information about this meeting, contact Sergei Tabachnikov.

Title: | Theory of Dynamical Systems on service to Number Theory |

Seminar: | MASS Colloquium |

Speaker: | A. Gogolev, Penn State |

Abstract: |

Tools from the theory of dynamical systems proved to be extremely useful in various problems in number theory. Outstanding examples include Furstenberg's proof of Szemeredi theorem, Green-Tao theorem,
solution of Oppenheim conjecture and progress towards Littlewood conjecture.
We will start with questions of uniform distribution and Diophantine approximation that illustrate helpfulness of dynamical tools. Then we will discuss modern ideas in dynamics on homogeneous spaces and outline the proof of Oppenheim conjecture.
No background in neither theory is needed. |

### Room Reservation Information

Room Number: | MB113 |

Date: | 09 / 04 / 2008 |

Time: | 02:30pm - 03:20pm |