Diamonds in the Langlands program: a comprehensive review

期刊论文
出版模式：

开放获取
发表日期：

2024年7月18日

查看全文

Shanna Dobson

摘要

A comprehensive review of diamonds, in the sense of Scholze, is presented. The diamond formulations of the Fargues-Fontaine curve and $Bun_G$ $B u n_{G}$ 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.