The Local Langlands Correspondence for Tamely Ramified Groups.

摘要

This thesis generalizes the work of DeBacker and Reeder [16] to the case of reductive groups splitting over a tame extension of the field of definition. The approach is broadly similar and the restrictions on the parameter the same, but many of the details of the arguments differ.;Let G be a unitary group defined over a local field K and splitting over a tame extension E/K. Given a Langlands parameter ϕ : WK → LG that is tame, discrete and regular, we give a natural construction of an L-packet pi ϕ associated to ϕ, consisting of representations of pure inner forms of G(K) and parameterized by the characters of the finite abelian group Aϕ = Z G(ϕ).