Geometric structure for Bernstein blocks

Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten (2014) Geometric structure for Bernstein blocks. [MIMS Preprint]

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Abstract

We consider blocks in the representation theory of reductive p-adic groups. On each such block we conjecture a definite geometric structure, that of an extended quotient. We prove that this geometric structure is present for each block in the representation theory of any inner form of GL_n(F), and also for each block in the principal series of a connected split reductive p-adic group with connected centre.

Item Type: MIMS Preprint
Uncontrolled Keywords: Reductive p-adic group, representation theory, geometric structure, local Langlands conjecture
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: 06 Aug 2014
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2165

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