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
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact
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.