Simple connexit\'e des fibres d'une application d'Abel-Jacobi et corps de classe local
Algebraic Geometry
2017-05-04 v1
Abstract
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 morphism. We prove that this morphism is a pro-\'etale locally trivial fibration in simply connected diamonds in high degree. Those diamonds are absolute punctured Banach-Colmez spaces that we study in details.
Keywords
Cite
@article{arxiv.1705.01526,
title = {Simple connexit\'e des fibres d'une application d'Abel-Jacobi et corps de classe local},
author = {Laurent Fargues},
journal= {arXiv preprint arXiv:1705.01526},
year = {2017}
}
Comments
in French