Geometrization of the Local Langlands Correspondence: An Overview

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J. Math. Sci. Univ. Tokyo
Vol. 32 (2025), No. 2, Page 157–240.

Fargues, Laurent
Geometrization of the Local Langlands Correspondence: An Overview
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
This article is an overview of the geometrization conjecture for the local Langlands correspondence formulated by the author.

Keywords: $p$-adic Hodge theory, local Langlands program.

Mathematics Subject Classification (2020): 11E95, 11S31, 11R39.

Mathematical Reviews Number: MR4973974

Received: 2023-04-14

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