Pablo Candela: Continuous models for some questions in arithmetic combinatorics

Speaker: Pablo Candela

Title: Continuous models for some questions in arithmetic combinatorics

Abstract: Several classical discrete problems in arithmetic combinatorics, such as counting linear configurations in subsets of a fi nite cyclic group, have recently been shown to have well-defi ned asymptotic versions as the size of the group increases. It is then natural to seek continuous objects (such as compact abelian groups, but also nilmanifolds) on which these asymptotic problems can be studied directly. I will discuss some results in this direction, including some very recent ones obtained in joint work with Balázs Szegedy.