Integrality properties of the Betti moduli space

Abstract: We study them, in particular showing on a smooth complex quasi-projective variety the existence of $\ell$-adic absolutely irreducible local systems for all $\ell$ the moment there is a complex irreducible topological local system. The proof is purely arithmetic.

This is work in progress with Johan de Jong, relying in part on earlier work with Michael Groechenig.

number theory

Audience: researchers in the topic

Harvard number theory seminar