From local class field theory to the curve and vice versa

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Laurent Fargues , Institut Mathématiques Jussieu
IAS Room S-101

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.