朗兰兹计划中的钻石：全面回顾

The Ramanujan Journal Pub Date : 2024-07-18 DOI:10.1007/s11139-024-00899-2

Shanna Dobson

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摘要

本文全面回顾了肖尔茨意义上的钻石。回顾了 Fargues-Fontaine 曲线和 \(Bun_G\) 的钻石形式。给出了以全局朗兰兹对应中的钻石形式为中心的主要结果，以及局部朗兰兹对应的几何化。最后，我们讨论了未来的几何化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Diamonds in the Langlands program: a comprehensive review

A comprehensive review of diamonds, in the sense of Scholze, is presented. The diamond formulations of the Fargues-Fontaine curve and \(Bun_G\) are reviewed. Principal results centered on the diamond formalism in the global Langlands correspondence and the geometrization of the local Langlands correspondence are given. We conclude with a discussion of future geometrizations.

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The Ramanujan Journal

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