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Irreducible components of crystalline deformation rings with weights at most p Bartlett, Robin
Description
A key idea from Kisin's work on crystalline and semistable deformation rings involves constructing resolutions of these rings via moduli of Breuil-Kisin modules. For crystalline deformations with Hodge-Tate weights 0 or 1 the geometry of these resolutions closely models that of the deformation rings themselves, but for higher weights they are too large. I will explain a refinement of this approach which can be used to prove, for unramified extensions of $\mathbf{Q}_p$, potential diagonalisability of crystalline representations with weights $\le p$.
Item Metadata
Title |
Irreducible components of crystalline deformation rings with weights at most p
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-24T09:02
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Description |
A key idea from Kisin's work on crystalline and semistable deformation rings involves constructing resolutions of these rings via moduli of Breuil-Kisin modules. For crystalline deformations with Hodge-Tate weights 0 or 1 the geometry of these resolutions closely models that of the deformation rings themselves, but for higher weights they are too large. I will explain a refinement of this approach which can be used to prove, for unramified extensions of $\mathbf{Q}_p$, potential diagonalisability of crystalline representations with weights $\le p$.
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Extent |
52.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Max Planck Institute, Bonn
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Series | |
Date Available |
2020-04-22
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0389916
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International