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