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СЕМИНАРЫ |
Семинар по арифметической геометрии
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A real period-index theorem. (Нестандартное время и аудитория семинара!) Olivier Benoist ENS |
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Аннотация: Lang has conjectured that a quadratic form in at least 5 variables over the function field of a real surface with no real points has a nontrivial zero. After explaining geometric motivations for this question, we will sketch a proof relying on a real variant of de Jong’s period-index theorem, and based on Hodge-theoretic arguments. |