Title	Distributions of modules over finite local $\mathbb{Z}_p$-algebras
Creator	Klys, Jack
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-11T11:43
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.
Extent	27.0 minutes
Subject	Mathematics; Number theory; Combinatorics; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Calgary
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-09-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394195
URI	http://hdl.handle.net/2429/75853
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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