The relative Hodge-Tate spectral sequence -- an overview

Ahmed Abbes (1) , Michel Gros (2)

1 IHES - Institut des Hautes Études Scientifiques
2 IRMAR - Institut de Recherche Mathématique de Rennes

We give in this note an overview of a recent work leading to a generalization of the Hodge-Tate spectral sequence to morphisms. The latter takes place in Faltings topos, but its construction requires the introduction of a relative variant of this topos which is the main novelty of our work.

Domaines: Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Ahmed Abbes, Michel Gros. The relative Hodge-Tate spectral sequence -- an overview. Simons Symposia, In press. ⟨hal-02503571⟩