Langlands Parameters and Algebraic Varieties

GAP Seminar

Meeting Details

For more information about this meeting, contact Nigel Higson, Mathieu Stiénon, Ping Xu.

Speaker: Roger Plymen, Southampton University

Abstract: The local Langlands conjecture relates arithmetic data, based on a local nonarchimedean fi eld F, with the representation theory of re- ductive groups such as GL(n; F). In this talk, we will show how the extended quotient, an idea from noncommutative geometry, is useful in this context. We will focus on the general linear group GL(n). In this case, Langlands parameters form complex algebraic varieties. We will describe these varieties explicitly. This will be a non-technical talk. Joint work with Anne-Marie Aubert and Paul Baum.

Room Reservation Information

Room Number: 106 McAllister

Date: 10/09/2012

Time: 2:30pm - 3:30pm