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Variétés rationnelles

Horaires : Le vendredi 21 mai 2010, 16h-17h

Lieu : salle W

Zeros of p-adic forms

Roger HEATH-BROWN (Oxford)

Artin conjectured that any form of degree d over a p-adic field should have a non-trivial zero as soon as the number of variables exceeds d2. There are related statements for systems of forms. The talk will give a review of Artin's conjecture, with particular emphasis on recent work concerning systems of quadratic forms.

 

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