# The Artin-Tate pairing on the Brauer group of a surface.

Tony Feng (Stanford)
Tuesday, April 16, 2019 - 11:00am to 12:00pm
PDL C-401

Abstract: There is a canonical pairing on the Brauer group of a surface over a ﬁnite ﬁeld, and an old conjecture of Tate predicts that this pairing is alternating. I will present a resolution to Tate’s conjecture, whose key ingredient is a circle of ideas originating in algebraic topology, centered around the Steenrod operations. (The talk will assume minimal background in algebraic topology.)

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