Geometric structure in smooth dual and local Langlands conjecture

Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten (2013) Geometric structure in smooth dual and local Langlands conjecture. [MIMS Preprint]

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Abstract

This expository note is based on the Takagi lectures given by the second-named author in November, 2012. Topics in the lectures: #1. Review of the LL (Local Langlands) conjecture. #2. Statement of the ABPS(Aubert-Baum-Plymen-Solleveld) conjecture. #3. Brief indication of the proof that for any connected split reductive p-adic group G both ABPS and LL are valid throughout the principal series of G.

Item Type: MIMS Preprint
Uncontrolled Keywords: Reductive p-adic group, smooth dual, principal series
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory
MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups
Depositing User: Professor Roger Plymen
Date Deposited: 23 Jul 2013
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2000

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  • Geometric structure in smooth dual and lo