Topological cyclic homology and the Fargues–Fontaine curve
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This paper is an elaboration of my lecture at the conference. The purpose is to explain how the Fargues–Fontaine curve and its decomposition into a punctured curve and the formal neighborhood of the puncture naturally appear from various forms of topological cyclic homology and maps between them. I make no claim of originality. My purpose here is to highlight some of the spectacular material contained in the papers of Nikolaus–Scholze [16], Bhatt–Morrow–Scholze [3], and Antieau–Mathew–Morrow–Nikolaus [1] on topological cyclic homology and in the book by Fargues–Fontaine [7] on their revolutionary curve.
Original language | English |
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Title of host publication | Cyclic Cohomology at 40 : Achievements and Future Prospects |
Number of pages | 14 |
Publisher | American Mathematical Society |
Publication date | 2023 |
Pages | 197-210 |
ISBN (Print) | 9781470469771 |
DOIs | |
Publication status | Published - 2023 |
Event | Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021 - Virtual, Online Duration: 27 Sep 2021 → 1 Oct 2021 |
Conference
Conference | Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021 |
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By | Virtual, Online |
Periode | 27/09/2021 → 01/10/2021 |
Series | Proceedings of Symposia in Pure Mathematics |
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Volume | 105 |
ISSN | 0082-0717 |
Bibliographical note
Publisher Copyright:
© 2023 American Mathematical Society.
ID: 345411679