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Variétés rationnelles

Horaires : Le vendredi 12 février 2016, 16h30-17h30

The Hasse norm principle for abelian extensions.

Christopher Frei (Graz)

Let L/K be a normal extension of number fields. The Hasse norm principle is a local-global principle for norms. It is satisfied if any element x of K is a norm from L whenever it is a norm locally at every place. For any fixed abelian Galois group G, we investigate the density of G-extensions violating the Hasse norm principle, when G-extensions are counted in order of their discriminant. This is joint work with Dan Loughran and Rachel Newton.

 

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