Title	A general S-unit equation solver and tables of elliptic curves over number fields
Creator	Matschke, Benjamin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-08-31T10:41
Description	In this talk we present work in progress on a new highly optimized solver for general and constraint S-unit equations over number fields. It has diophantine applications including asymptotic Fermat theorems, Siegel's method for computing integral points, and most strikingly for computing large tables of elliptic curves over number fields with good reduction outside given sets of primes S. For the latter, we improved on the method of Koutsianas (Parshin, Shafarevich, Elkies).
Extent	34.0 minutes
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Boston University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-02-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395993
URI	http://hdl.handle.net/2429/77412
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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