# Arithmetic of homogeneous spaces over global fields of characteristic p – David Harari (Université de Paris-Saclay)

#### Venue

Department of Mathematics, Aula Magna.

#### Abstract

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).

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