Title	\(\Lambda\)-adic Gross-Zagier formula for elliptic curves at supersingular primes
Creator	Castella, Francesc
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-27T15:34
Description	In 2013, Kobayashi proved an analogue of Perrin-Riou's \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes. In this talk, we will explain an extension of Kobayashi's result to the \(\Lambda\)-adic setting. The main formula is in terms of plus/minus Heegner points up the anticyclotomic tower, and its proof, rather than on calculations inspired by the original work of Gross-Zagier, is via Iwasawa theory, based on the connection between Heegner points, Beilinson-Flach elements, and their explicit reciprocity laws. This is joint work with Xin Wan.
Extent	54 minutes
Subject	Mathematics; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California, Los Angeles
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	10.14288/1.0340448
URI	http://hdl.handle.net/2429/60093
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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