Algebraic and Arithmetic Geometry Seminar

Arithmetic of homogeneous spaces over global fields of characteristic p

by David Harari (Université de Paris-Saclay)

Europe/Rome
Aula Magna (Department of Mathematics)

Aula Magna

Department of Mathematics

Description

Let $K$ be the function field of a curve over a finite field. Let $X$ be a homogeneous space of a reductive group over $K$. We discuss cohomological obstructions to the local-global principle on $X$. Similar results for weak and strong approximation will also be provided (joint work with Cyril Demarche).