"Langlands Program"
By
Abstract: Langlands' program aims to use in_nite dimensional
representations of Lie groups for the better understanding of number theory. An
automorphic rep-resentation _ and its associated L-function L(s; _) are the main ingredients of the Langlands' program.
This program consists of several conjectures (some of which have already been
proved) which roughly state that any L-function de_ned number-theoretically can also be de_ned
as an L-function of an auto-morphic
representation. In Langlands' program the local and global Langlands
conjectures establish a connection between the Galois representations and
automorphic forms. They can be also understood as a non-abelian generalization
of class _eld theory. In this talk, I will discuss local Langlands conjecture
for GLn and GSp4.
Date: Wednesday, May 13, 2015
Time: 15.40
Place: Mathematics Seminar Room,
SA-141
All are most cordially invited.
Tea and biscuits: before the seminar