FROM LOCAL CLASS FIELD TO THE CURVE AND VICE VERSA

Laurent Fargues (1)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

We begin by reviewing our joint work with J.-M. Fontaine about the fundamental curve of p-adic Hodge theory. We then explain our results obtained in [4] about the classification of G-bundles on this curve and its link with local class field theory. We finish by formulating conjectures that would extend those results.

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Laurent Fargues. FROM LOCAL CLASS FIELD TO THE CURVE AND VICE VERSA. 2015. ⟨hal-01216763v1⟩