The Polynomial Method

Speaker
Noga Alon
Date
10/01/2022 - 17:30 - 16:40Add to Calendar 2022-01-10 16:40:00 2022-01-10 17:30:00 The Polynomial Method A basic result in Algebraic Geometry implies that a nonzero multivariate polynomial of low degree cannot vanish over a large box. This can be used to obtain results in extremal combinatorics, graph theory, additive number theory and combinatorial geometry. I will describe recent and less recent applications of the technique, and will mention several intriguing open problems. building 206 room 53 and zoom: https://us02web.zoom.us/j/86199907214 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
building 206 room 53 and zoom: https://us02web.zoom.us/j/86199907214
Abstract

A basic result in Algebraic Geometry implies that a nonzero multivariate polynomial of low degree cannot vanish over a large box. This can be used to obtain results in extremal combinatorics, graph theory, additive number theory and combinatorial geometry.

I will describe recent and less recent applications of the technique, and will mention several intriguing open problems.

Last Updated Date : 09/01/2022