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math.AG2026
Steenrod operations and symplectic arithmetic duality
Tony Feng
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 Séminaire Bourbaki…
math.AG2025
Prismatic Steenrod operations and arithmetic duality on Brauer groups
Shachar Carmeli, Tony Feng
We construct and analyze the "syntomic Steenrod algebra", which acts on the mod syntomic cohomology (also known as etale-motivic cohomology) of algebraic varieties in character…