University of Calgary

The Local Langlands Correspondence for Tamely Ramified Groups

Submitted by ccunning on Tue, 01/18/2011 - 12:48pm.
Jan 20 2011 - 4:00pm
Jan 20 2011 - 5:00pm
david1_small.jpg
Speaker: 

David Roe, Harvard

Location: 
BioSci 540B in Calgary; WMAX 216 at UBC; IRMACS at SFU
An activity of the PIMS L-functions and Number Theory Collaborative Research Group

Abstract: The Langlands correspondence relates global Galois  
representations with automorphic representations; the local  
correspondence works at each prime.  For any reductive group $G$ over  
a local field $K$ we construct a complex reductive group $^LG$.  For  
any homomorphism from the Galois group of $K$ to $^LG$ (called a  
Langlands parameter) we then construct a set of representations of  
$G(K)$ (called an L-packet).  I will make these constructions explicit  
in the case that the Langlands parameter is discrete, tamely ramified  
and regular and that $G$ is the unitary group associated to a tame  
extension of
$K$.