Title	Unlikely intersections in families of abelian varieties and some polynomial Diophantine equations
Creator	Capuano, Laura
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-07-03T10:35
Description	What makes an intersection likely or unlikely? A simple dimension count shows that two varieties of dimension r and s are non "likely" to intersect if r < codim s, unless there are some special geometrical relations among them. A series of conjectures due to Bombieri-Masser-Zannier, Zilber and Pink rely on this philosophy. After a small survey on these problems, I will speak about a joint work with F. Barroero (Basel) in this framework in the special case of curves in families of abelian varieties. This gives also applications to the study of the solvability of some polynomial Diophantine equations.
Extent	51 minutes
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Oxford University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-12-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0362429
URI	http://hdl.handle.net/2429/64198
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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