Arithmetic unlikely intersection results and their p-adic incarnations

par Vlad Serban (Vienne)

jeudi 14 mars 2019, 14:00 → 15:00 Europe/Paris

Salle M7 (UMPA, ENS de Lyon)

We give a brief introduction to the Manin-Mumford Conjecture and related problems, which roughly describe when the intersection of a subvariety of a (semi-)abelian variety with an arithmetically defined subset is larger than expected on dimension grounds. We then present some p-adic versions of these results, and outline an application to the study of Hida families of Bianchi modular forms.