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DIMACS Theory of Computing Seminar

The Elekes-Szab'o problem and applications to combinatorial geometry

Location:  Other - CoRE 301
Date & time: Wednesday, 26 October 2016 at 11:00AM - 11:11AM

Orit Raz , IAS/DIMACS: Let F(x,y,z) be a real trivariate polynomial of constant degree, and let A,B,C be three sets of real numbers, each of size n. How many points of A x B x C can lie on {F=0}? This question has been studied by Elekes and R'onyai and then by Elekes and Szab'o about 15 years ago.

In the talk I will review some recent results concerning this problem and its variants, and introduce some applications of the results to problems in extremal combinatorial geometry.

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