The Local Langlands Correspondence for Tamely Ramified Groups

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
$K$.