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Radical Pi Meeting - Hans Parshall

The Ohio State University Radical Pi Math Club
March 27, 2019
5:00PM - 6:00PM
Math Building 052

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Add to Calendar 2019-03-27 17:00:00 2019-03-27 18:00:00 Radical Pi Meeting - Hans Parshall Title: Sums and Products Speaker: Hans Parshall (Ohio State University) Abstract: Erdős and Szemerédi (1983) conjectured that no finite set of integers could simultaneously generate few distinct sums and few distinct products. It is surprising that most recent progress toward their conjecture is based upon incidence geometry. We will discuss the influential sum-product result of Elekes (1997) that relies on counting how often points and lines in the Euclidean plane can intersect. Math Building 052 Department of Mathematics math@osu.edu America/New_York public

Title: Sums and Products

SpeakerHans Parshall (Ohio State University)

Abstract: Erdős and Szemerédi (1983) conjectured that no finite set of integers could simultaneously generate few distinct sums and few distinct products. It is surprising that most recent progress toward their conjecture is based upon incidence geometry. We will discuss the influential sum-product result of Elekes (1997) that relies on counting how often points and lines in the Euclidean plane can intersect.

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