Campana points on toric varieties

Abstract: In this talk we discuss joint work with Marta Pieropan on the distribution of Campana points on toric varieties. We discuss how this problem leads us to studying a generalised version of the hyperbola method, which had first been developed by Blomer and Brüdern. We show how duality in linear programming is used to interpret the counting result in the context of a general conjecture of Pieropan--Smeets--Tanimoto--Varilly-Alvarado.

algebraic geometrycombinatoricsdynamical systemsgeneral topologynumber theory

Audience: researchers in the topic

ZORP (zoom on rational points)

Series comments: 2 talks on a Friday, roughly once per month.

Online coffee break in between.