Arithmetic Geometry and Number Theory RTG Seminar: The Artin-Tate pairing on the Brauer group of a surface
Seminar | October 8 | 3:10-5 p.m. | 784 Evans Hall
Tony Feng, Stanford
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. In this talk I will present a resolution to Tate’s conjecture. The key new ingredient is a circle of ideas originating in algebraic topology, centered around the Steenrod operations. The talk will advertise these new tools (while assuming minimal background in algebraic topology).