Jun 23 – 27, 2014
Université Lille 1
Europe/Paris timezone

The arithmetic of tori over various fields

Jun 26, 2014, 11:45 AM
1h
Salle de réunions (Université Lille 1)

Salle de réunions

Université Lille 1

U.M.R. CNRS 8524 U.F.R. de Mathématiques 59 655 Villeneuve d'Ascq Cédex
Géométrie arithmétique et théorie de Galois Géométrie arithmétique et théorie de Galois

Speaker

David Harari (Université Paris-Sud)

Description

Let T be an algebraic torus defined over a number field K. In the case of a number field, obstructions to local-global principles for T are well understood thanks to work by Voskresenskii and Sansuc. We consider the case K=k(t) for different fields k (quasi-finite, p-adic) and extend the classical results in this context.

Presentation materials