Algebraic and Arithmetic Geometry Seminar

Crystalline fundamental group and Berthelot's conjecture for isocrystals

by Fabio Tonini (Università di Firenze)

Europe/Rome
Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica

Description

In the talk I will introduce the crystalline site of a variety in positive characteristic, discuss the notion of crystals and isocrystals over it and define its crystalline fundamental group. I will then discuss Berthelot's conjecture and its relation with the exactness of the homotopy sequence of a fibration.