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Twisted coadmissible equivariant D-modules on rigid analytic spaces

Abstract:

We aim to extend the results of Ardakov and Wadsley on representations of p-adic Lie groups and sheaves of equivariant D-modules on rigid analytic spaces. Our main results are a canonical dimension estimate for coadmissible representations of a semisimple p-adic Lie group in a p-adic Banach space, and a Beilinson-Bernstein-type localisation for coadmissible equivariant Dλ -modules, where λ is a ρ-dominant ρ-regular infinitesimal central character.

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
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UUID:
uuid:c701b0d8-7709-4577-8127-582e8b6ba6ea
Deposit date:
2020-05-24

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