Title	On iterated products sets with shifts and a partial inverse for the Szemeredi-Trotter Theorem
Creator	Roche-Newton, Oliver
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-02-06T13:34
Description	Adapting the framework of Bourgain-Chang, we (in a joint work with Brandon Hanson and Dmitry Zhelezov) present a new sum-product type estimate over the rationals which exhibits unbounded growth. As an application, it follows that if a point set is a direct product AxA for a set of rationals A, and A has a small product set, then we get a better incidence bound for such a point set than the one given by the Szemeredi-Trotter.
Extent	34 minutes
Subject	Mathematics; Convex and discrete geometry; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Johannes Kepler Universität
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0369715
URI	http://hdl.handle.net/2429/66671
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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