Dissertation/Thesis Abstract

The Local Langlands Correspondence for Tamely Ramified Groups
by Roe, David Lawrence, Ph.D., Harvard University, 2011, 156; 3462160
Abstract (Summary)

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 : [special characters omitted] → LG that is tame, discrete and regular, we give a natural construction of an L-packet Π 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 Ĝ(ϕ).

Indexing (document details)
Advisor: Gross, Benedict H.
School: Harvard University
School Location: United States -- Massachusetts
Source: DAI-B 72/09, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Langlands correspondence, Number theory, Ramefied groups, Representation theory
Publication Number: 3462160
ISBN: 978-1-124-72913-8
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