For more information about this meeting, contact Robert Vaughan.

Title: | Explicit bases of modular symbols over function fields |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Cécile Armana, University of Muenster, visiting Brown |

Abstract: |

Modular symbols over the rationals are a useful theoretical and computational tool for computing modular forms. In 1992 J. Teitelbaum introduced a similar notion of modular symbols over the function field of positive characteristic $\mathbf{F}_{q}(T)$. They are related to various objects (automorphic forms, abelian varieties, Drinfeld modular forms) defined over this field. The group of such modular symbols has a finite presentation (Manin has given a similar presentation for classical modular symbols). Both presentations are extensively used in algorithms for computing modular symbols. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 03 / 29 / 2012 |

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