Unlikely intersections in the moduli space of principally polarized abelian surfaces
Date
03/02/2020
Horaire
14:00 à 15:00
Diffusion
Résume
The Zilber-Pink conjecture predicts that a family of abelian surfaces over a one-dimensional base, with generic endomorphism ring ℤ, contains at most finitely many fibres with quaternionic multiplication. I will discuss a partial proof of this conjecture (joint with Christopher Daw). The main ingredients are new quantitative results in the reduction theory of algebraic groups and a height bound due to André.
