Title	On the Gross-Stark Conjecture
Creator	Dasgupta, Samit
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-27T14:00
Description	In 1980, Gross conjectured a formula for the expected leading term at \(s=0\) of the Deligne-Ribet \(p\)-adic \(L\)-function associated to a totally even character \(\psi\) of a totally real field \(F\). The conjecture states that after scaling by \(L(\psi \omega^{-1}, 0)\), this value is equal to a \(p\)-adic regulator of units in the abelian extension of \(F\) cut out by \(\psi \omega^{-1}\). In this talk we describe a proof of Gross's conjecture. This is joint work with Mahesh Kakde and Kevin Ventullo.
Extent	60 minutes
Subject	Mathematics; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California, Santa Cruz
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-12-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340447
URI	http://hdl.handle.net/2429/60092
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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