Topological cyclic homology and the Fargues–Fontaine curve

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt

Standard

Topological cyclic homology and the Fargues–Fontaine curve. / Hesselholt, Lars.

Cyclic Cohomology at 40: Achievements and Future Prospects. American Mathematical Society, 2023. s. 197-210 (Proceedings of Symposia in Pure Mathematics, Bind 105).

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt

Harvard

Hesselholt, L 2023, Topological cyclic homology and the Fargues–Fontaine curve. i Cyclic Cohomology at 40: Achievements and Future Prospects. American Mathematical Society, Proceedings of Symposia in Pure Mathematics, bind 105, s. 197-210, Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021, Virtual, Online, 27/09/2021. https://doi.org/10.1090/pspum/105/10

APA

Hesselholt, L. (2023). Topological cyclic homology and the Fargues–Fontaine curve. I Cyclic Cohomology at 40: Achievements and Future Prospects (s. 197-210). American Mathematical Society. Proceedings of Symposia in Pure Mathematics Bind 105 https://doi.org/10.1090/pspum/105/10

Vancouver

Hesselholt L. Topological cyclic homology and the Fargues–Fontaine curve. I Cyclic Cohomology at 40: Achievements and Future Prospects. American Mathematical Society. 2023. s. 197-210. (Proceedings of Symposia in Pure Mathematics, Bind 105). https://doi.org/10.1090/pspum/105/10

Author

Hesselholt, Lars. / Topological cyclic homology and the Fargues–Fontaine curve. Cyclic Cohomology at 40: Achievements and Future Prospects. American Mathematical Society, 2023. s. 197-210 (Proceedings of Symposia in Pure Mathematics, Bind 105).

Bibtex

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title = "Topological cyclic homology and the Fargues–Fontaine curve",

abstract = "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.",

author = "Lars Hesselholt",

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language = "English",

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N2 - 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.

AB - 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.

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