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arXiv · 2602.15629

Steenrod operations and symplectic arithmetic duality

Tony Feng
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Abstract

This expository article elaborates upon my talk at the 2025 AMS Summer Institute on Algebraic Geometry. It gives an introduction to a conjecture from Tate's 1966 S\'eminaire Bourbaki report, predicting the existence of a symplectic form on Brauer groups of surfaces over finite fields, and then an informal tour of the proof in \cite{Feng20} and \cite{CF}.

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Tony Feng. 2026-02-17. Steenrod operations and symplectic arithmetic duality. https://arxiv.org/abs/2602.15629

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