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Distributions of modules over finite local $\mathbb{Z}_p$-algebras Klys, Jack
Description
Recently Lipnowski and Tsimerman defined a 'Cohen-Lenstra' type measure on $R$-modules for certain rings $R$, and by extending methods of Ellenberg-Venkatesh-Westerland proved that moments of the Picard group of hyperelliptic curves (viewed as a module over the Frobenius) 'almost' converge to the moments of this measure. Under certain conditions on the ring $R$ knowledge of these moments can determine a distribution. We study when such conditions occur, as well as other questions related to the above measure.
Item Metadata
| Title |
Distributions of modules over finite local $\mathbb{Z}_p$-algebras
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-05-11T11:43
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| Description |
Recently Lipnowski and Tsimerman defined a 'Cohen-Lenstra' type measure on $R$-modules for certain rings $R$, and by extending methods of Ellenberg-Venkatesh-Westerland proved that moments of the Picard group of hyperelliptic curves (viewed as a module over the Frobenius) 'almost' converge to the moments of this measure. Under certain conditions on the ring $R$ knowledge of these moments can determine a distribution. We study when such conditions occur, as well as other questions related to the above measure.
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| Extent |
27.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Calgary
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| Series | |
| Date Available |
2020-09-04
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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 |
10.14288/1.0394195
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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