Wednesday, March 27, 2019 - 5:00pm to 6:00pm
Math Building 052
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.