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23-27 juin 2014
Université Lille 1
Europe/Paris timezone
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Université Lille 1 - Salle de réunions

The arithmetic of tori over various fields


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.