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2013.36: Geometric structure in smooth dual and local Langlands conjecture

2013.36: Anne-Marie Aubert, Paul Baum, Roger Plymen and Maarten Solleveld (2013) Geometric structure in smooth dual and local Langlands conjecture.

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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 2000 > 11 Number theory
MSC 2000 > 22 Topological groups, Lie groups
MIMS number:2013.36
Deposited By:Professor Roger Plymen
Deposited On:23 July 2013

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