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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.
This article is an overview of the geometrization conjecture for the local Langlands correspondence formulated by the author.
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NP-RC-064988 is Laurent Fargues's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
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