On Cohomological Obstructions for Varieties over p-adic Function Fields
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Speaker: Yisheng Tian（Harbin Institute of Technology）
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Time: Sep 6, 2025, 10:00-11:30
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Location: Room 103，College of Business
Abstract
In this talk, we first recall the cohomological obstructions to the Hasse principle and weak approximation established by Harari, Scheiderer, and Szamuely for varieties over p-adic function fields. Subsequently, we explain the relation between these obstructions. Finally, we construct an explicit example for which the Manin obstruction is trivial while the unramified obstruction is non-trivial. This talk is based on a joint work with Cao Yang.
