Algebraic and Arithmetic Geometry Seminar

Transfer principles for Galois cohomology and Serre's conjecture II

by Diego Izquierdo (Ecole Polytechnique)

Aula Seminari (Department of Mathematics)

Aula Seminari

Department of Mathematics


In this talk, I will present some transfer principles for the cohomological dimension of fields. I will then show some applications to Serre's conjecture II: in particular, we will see that Serre's conjecture II for characteristic 0 fields implies Serre's conjecture II for positive characteristic fields. This is joint work with Giancarlo Lucchini Arteche.