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Variétés rationnelles

Horaires : Le vendredi 18 novembre 2011, 17h30-18h30

Lieu : salle W

Tate-Shafarevich groups whose finiteness implies Leopoldt's conjecture

Peter Jossen (Orsay - page personnelle)

Given a number field k and a prime number p, we are interested in mixed Artin-Tate-motives M over k and in the ell-adic Galois representations attached to them. With these objects one can associate so-called Tate-Shafarevich groups. Their vanishing is, by construction, the obstruction to certain local-global principles. I will show how Leopoldt's conjecture for k and p follows from the finiteness of these groups.

 

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