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Topological cyclic homology and the Fargues-Fontaine curve

Published 30 Jul 2022 in math.AT, math.KT, and math.NT | (2208.00168v1)

Abstract: The purpose of this expository paper is to explain how the Fargues-Fontaine curve and its decomposition into a punctured curve and the formal neighborhood of the puncture naturally arise from various forms of topological cyclic homology and maps between them.

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