Steenrod operations and the Artin-Tate Pairing
Time: Mon, 24 Jun 2019, 10:00-11:30am
Place: Third lecture room at Jinchunyuan West Building, Tsinghua University
Speaker: Tony Feng (Stanford University)
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.