G-torsors in p-adic Hodge theory

Given a reductive group G over a finite extension of Q(p) we classify the G-bundles over the curve introduced in Fargues and Fontaine [Courbes et fibr ' es vectoriels en th ' eorie de Hodge p-adique, Ast ' erisque 406 (2018)]. The result is interpreted in terms of Kottwitz set B(G). We moreover compute the ' etale cohomology of the curve with torsion coefficients and relate the result to local class field theory.