For more information about this meeting, contact Robert Vaughan.

Title: | Geometric structure in the representation theory of p-adic SLN |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Roger Plymen, University of Manchester |

Abstract: |

In the general theory of automorphic forms, a crucial role is played by representations of the local groups, one for each place. This will include p-adic groups G such as GL(n) or SL(n). It is sometimes assumed that the local Langlands conjectures will answer any question in the representation theory of G. On looking more closely, this turns out not to be the case. An alternative (conjectural) approach is outlined in [1]. This is based on the elementary concept of the extended quotient of an algebraic variety by a finite group. This will be a non-technical talk, in which I will attempt to explain our approach via two examples: SL(2) and SL(n) where n is a prime number.
[1] Geometric structure in the representation theory of p-adic groups, Anne-Marie Aubert, Paul Baum, Roger Plymen, C.R. Acad. Sci. Paris 345 (2007) 573-578. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 12 / 03 / 2009 |

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