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Workshop on birational geometry
October 29, 2018 18:00–19:30, Moscow, Laboratory of Algebraic Geometry and its applications, Higher School of Economics
 


A real period-index theorem

Olivier Benoist

ENS

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Abstract: 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.

Language: English

* joint with the Arithmetic geometry seminar
 
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