Algebraic and Arithmetic Geometry Seminar

Crystalline fundamental group and Berthelot's conjecture for isocrystals

by Fabio Tonini (Università di Firenze)

Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica


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.