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 Universiät Linz)
Location:
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series:
Mathematics and CS Seminar
Host:
Tim Browning
Contact:
Birgit Oosthuizen-Noczil
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.