Pure Maths Colloquium: Tuomas Orponen
This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.
|Where:||Zoom 812 4618 4775|
|When:||Nov 4 2021 @ 16.00||Video:||Link (internal)|
|Speaker:||Tuomas Orponen Jyväskylän yliopisto|
|Title:||Some products of recent work on sum-products|
If \(A,B,C\) are three finite sets in a field, under what assumptions can we find a point \(c\) in \(C\) such that \(A + cB\) is much bigger than \(A\)? This is a variant of the Erdős-Szemerédi sum-product problem. I will briefly survey the problem in a number of fields. Then I will focus on the \(\delta\)-discretised version of the problem on the real line. This version is the most relevant one for fractal geometers.