For more information about this meeting, contact Robert Vaughan.

Title: | Statistics of zeroes of zeta functions of a family of curves over a finite field, II |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Maosheng Xiong, Penn State University |

Abstract: |

The Katz-Sarnak theorem gives a nice description on the statistics of zeroes of zeta functions of a family of curves (or varieties) over a finite field in the limit that the field size goes to infinity. The motivating question, originated by Rudnick and his coauthors, is what happens if the field size is fixed and other parameters go to infinity. In this talk I will explain some results in this direction.
This talk is a continuation of a similar talk I gave last September. There are significant overlaps. However, the presentation will be much better, old results will be much refined, and I will also give a preliminary report on elliptic curves over the rational function field. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 03 / 18 / 2010 |

Time: | 11:15am - 12:05pm |