Algebraic and Arithmetic Geometry Seminar

Transfer principles for Galois cohomology and Serre's conjecture II

Name: Transfer principles for Galois cohomology and Serre's conjecture II
Start: 2024-05-15T15:00:00+02:00
End: 2024-05-15T16:00:00+02:00
Location: Department of Mathematics

by Diego Izquierdo (Ecole Polytechnique)

Wednesday May 15, 2024, 3:00 PM → 4:00 PM Europe/Rome

Aula Seminari (Department of Mathematics)

Aula Seminari

Department of Mathematics

Description

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.