Steenrod operations and symplectic arithmetic duality
Algebraic Geometry
2026-02-18 v1 Algebraic Topology
Number Theory
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}.
Cite
@article{arxiv.2602.15629,
title = {Steenrod operations and symplectic arithmetic duality},
author = {Tony Feng},
journal= {arXiv preprint arXiv:2602.15629},
year = {2026}
}