Integral points on punctured curves and punctured abelian varieties

Abstract: Let $A/\Q$ be an abelian variety and suppose $A(\Q)=0$. Let $\ell$ be a rational prime. Under a mild condition on the mod $\ell$ representation of $A$, we show that the punctured abelian variety $A-0$ has no integral points over 100% of cyclic degree $\ell$ number fields.

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.