Séminaire Arithmétique et géométrie algébrique
organisé par l'équipe Arithmétique et géométrie algébrique
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Margherita Pagano
The wild Brauer-Manin obstruction on K3 surfaces
30 mai 2024 - 14:00Salle de séminaires IRMA
A way to study rational points on a variety is by looking at their image in the p-adic points. Some natural questions that arise are the following: are the rational points dense inside the p-adic points? If not, can we have control on the set of primes that cause the failure of the density of the rational points inside the product of the p-adic points? I will explain how primes of good reduction can play a role in the Brauer-Manin obstruction to weak approximation, with particular emphasis on the case of K3 surfaces. I will then explain how the reduction type (in particular, ordinary or non-ordinary good reduction) plays a role.