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On ramification of Hilbert eigenvariety Hsu, Chi-Yun
Description
By construction, an eigenvariety comes with a map to the weight space. It is natural to ask what the ramification locus is. For Hilbert eigenvariety, we characterize the classical ramification points in terms of the associated Galois representation. This comes from the classicality theorem due to Tian-Xiao using cohomological methods, and a lower bound on the dimension of the tangent space of the weight fiber using Galois deformation. We would also mention how the ramification behaviors of the classical point and its companion points are related.
Item Metadata
Title |
On ramification of Hilbert eigenvariety
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-23T09:01
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Description |
By construction, an eigenvariety comes with a map to the weight space. It is natural to ask what the ramification locus is. For Hilbert eigenvariety, we characterize the classical ramification points in terms of the associated Galois representation. This comes from the classicality theorem due to Tian-Xiao using cohomological methods, and a lower bound on the dimension of the tangent space of the weight fiber using Galois deformation. We would also mention how the ramification behaviors of the classical point and its companion points are related.
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Extent |
53.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: UCLA
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Series | |
Date Available |
2020-04-21
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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 |
10.14288/1.0389879
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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