https://neckpinch.com/authors/laurent-fargues/New arXiv papers by Laurent Fargues, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1705.01526/arxiv:1705.01526Wed, 03 May 2017 00:00:00 GMTLaurent 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 morphism. We prove that this morphism is a pro-étale locally trivial fibration in simply connected diamonds in high degree. Those diamonds are absolute punctured Banach-Colmez spaces that we study in details.Geometrization https://neckpinch.com/papers/1602.00999/arxiv:1602.00999Tue, 02 Feb 2016 00:00:00 GMTLaurent Fargues — This article is an overview of the geometrization conjecture for the local Langlands correspondence formulated by the author.Geometrization