Number Theory Seminar
Friday, September 6, 2019, 3:15pm, 119 Physics
Tony Feng (MIT, Mathematics)
Steenrod operations and the Artin-Tate pairing
Abstract:- In 1966 Artin and Tate constructed a canonical pairing on the Brauer group of a surface over a finite field, and conjectured it to be alternating. This duality has analogous incarnations across arithmetic and topology, namely the Cassels-Tate pairing for a Jacobian variety, and the linking form on a 5-manifold. I will explain a proof of the conjecture, which is based on a surprising connection to Steenrod operations. [video]
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