Upcoming Talks

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The Elekes-Szabo Theorem and applications

Algebraic Geometry and Number Theory Seminar

Date: Thursday, March 16, 2023 13:00 - 15:00
Speaker: Oliver Roche-Newton (Johannes Kepler UniversiƤt Linz)
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series: Mathematics and CS Seminar
Host: Tim Browning

The Elekes-Szabo Theorem gives an upper bound for the intersection between a Cartesian product and the zero set of a sufficiently complicated polynomial. This theorem was motivated by applications for some beautiful problems in discrete geometry related to the Erdos distinct distances problem. This talk will introduce the Elekes-Szabo Theorem and discuss some of these geometric applications, as well as some more recent applications in the context of the sum-product problem.

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