BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

On iterated products sets with shifts and a partial inverse for the Szemeredi-Trotter Theorem Roche-Newton, Oliver


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.

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