Title	Iwasawa theory in higher codimension
Creator	Chinburg, Ted
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-27T09:00
Description	This talk will be a survey of recent work on higher codimension Iwasawa theory (joint with F. Bleher, R. Greenberg, M. Kakde, G. Pappas, R. Sharifi and M. Taylor). This has to do with relating \(p\)-adic \(L\)-functions to the behavior of Iwasawa modules which are supported in codimension larger than one as modules for an Iwasawa algebra. One idea I will discuss is that the natural analytic invariants arising from Katz \(p\)-adic \(L\)-functions pertain to the derived top exterior powers of Iwasawa modules. For first Chern classes, passing to the derived top exterior power makes no difference, but for higher Chern classes it does. This is analogous to the fact that Stark's conjectures pertain to regulators rather than to the individual entries of matrices whose determinants are regulators.
Extent	60 minutes
Subject	Mathematics; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Pennsylvania
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	10.14288/1.0340450
URI	http://hdl.handle.net/2429/60095
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Iwasawa theory in higher codimension Chinburg, Ted

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