Diamonds in the Langlands program: a comprehensive review

Author:

Dobson ShannaORCID

Abstract

AbstractA 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.

Publisher

Springer Science and Business Media LLC

Reference27 articles.

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5. Fargues, L.: Geometrization of the Local Langlands Correspondence: An Overview. arXiv:1602.00999 [math.NT] (2016)

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