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Time: Friday, November 18, 2011, 17h30-18h30

Location: salle W

Tate-Shafarevich groups whose finiteness implies Leopoldt's conjecture

Peter Jossen (Orsay - Personal website)

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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