Mar 16, 2023
The Elekes-Szabo Theorem and applications
Algebraic Geometry and Number Theory Seminar
Date: March 16, 2023 |
1:00 pm –
3:00 pm
Speaker:
Oliver Roche-Newton, Johannes Kepler Universiät Linz
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Language:
English
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.
