Title	On Selmer groups and factoring \(p\)-adic \(L\)-functions
Creator	Palvannan, Bharathwaj
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-27T16:41
Description	Haruzo Hida has constructed a 3-variable Rankin Helberg \(p\)-adic \(L\)-function. Two of its variables are "weight" variables and one of its variables is the "cyclotomic" variable. Samit Dasgupta has factored a certain restriction of this 3-variable \(p\)-adic \(L\)-function (when the two weight variables are set equal to each other) into a product of a 2-variable \(p\)-adic \(L\)-function (related to the adjoint representation of a Hida family) and the Kubota-Leopoldt \(p\)-adic \(L\)-function. We prove the corresponding result involving Selmer groups that is predicted by the main conjectures. A key technical input is studying the (height one) specialization of Selmer groups.
Extent	46 minutes
Subject	Mathematics; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Washington - Seattle
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-01-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340449
URI	http://hdl.handle.net/2429/60094
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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