Algebraic and Arithmetic Geometry Seminar

Parabolicity conjecture of F-isocrystals

by Marco D'Addezio (Université de Paris)

Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica


In the last years the theory of crystalline cohomology and F-isocrystals had a great development. I will present a new result concerning the algebraic monodromy groups of F-isocrystals. I will start with a quick introduction on crystalline cohomology, F-isocrystals, and overconvergent F-isocrystals. Subsequently, I will recall the definition of monodromy groups of F-isocrystals (which uses the theory of Tannakian categories) and in the end I will explain the main theorem, the applications, and some ideas of the proof.