40 citations · 82 across the 4 of their papers we have counts for
4 papers
Geometrization of the local Langlands correspondence
Laurent Fargues, Peter Scholze
Following the idea of [Far16], we develop the foundations of the geometric Langlands program on the Fargues--Fontaine curve. In particular, we define a category of -adic shea…
On the structure of some p-adic period domains
Miaofen Chen, Laurent Fargues, Xu Shen
We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter μ of G, the weakly admissible locus coin…
Simple connexité des fibres d'une application d'Abel-Jacobi et corps de classe local
Laurent Fargues
We give a geometric Langlands type proof of the geometrization conjecture of the local Langlands correspondence introduced by the author for GL_1. For this we study an Abel-Jacobi…
Geometrization of the local Langlands correspondence: an overview
Laurent Fargues
This article is an overview of the geometrization conjecture for the local Langlands correspondence formulated by the author.