From local class field theory to the curve and vice versa

Fargues 2015 10 29

Laurent Fargues
Institut de mathématiques de Jussieu
October 29, 2015
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.