# From local class field theory to the curve and vice versa

 Joint IAS/Princeton University Number Theory Seminar Topic: From local class field theory to the curve and vice versa Speaker: Laurent Fargues Affiliation: Institut de mathématiques de Jussieu Date: Thursday, October 29 Time/Room: 4:30pm - 5:30pm/S-101 Video Link: https://video.ias.edu/puias/2015/1029-Fargues

I will speak about results contained in my article "$G$-torseurs en théorie de Hodge $p$-adique" linked to local class field theory. I will in particular explain the computation of the Brauer group of the curve and why its fundamental class is the one from local class field theory.