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Infinite sumsets in sets with positive density

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OOEW04 - Structure and Randomness - a celebration of the mathematics of Timothy Gowers

Seeking a common generalization of Szemeredi’s Theorem on arithmetic progressions in a set of integers with positive density and Hindman’s Theorem on a monochromatic finite sumsets in any finite coloring of the integers, Erdos formulated several questions and conjectures.  In joint work with Joel Moreira, Florian Richter, and Donald Robertson, we prove some of these, showing that any set of positive density contains a shift of a restricted sumset. The talk will be an overview of the methods and more recent developments.   

This talk is part of the Isaac Newton Institute Seminar Series series.

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Anglia Ruskin University, East Road, Cambridge CB1 1PT (Lecture Theatre: Lord Ashcroft LAB002) Average on Saturdays: 7362.125 kWh Dr Augustus Chee

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