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.