Special PIMS/WMAX Postdoctorial Colloquium: David Roe
- Date: 01/20/2011
- Time: 15:00
University of British Columbia
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 $K$.
Location: WMAX 216 (via videoconference)
For more information please visit UBC Mathematics Department