Topological cyclic homology and the Fargues–Fontaine curve
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
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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
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TY - GEN
T1 - Topological cyclic homology and the Fargues–Fontaine curve
AU - Hesselholt, Lars
N1 - Publisher Copyright: © 2023 American Mathematical Society.
PY - 2023
Y1 - 2023
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.
UR - http://www.scopus.com/inward/record.url?scp=85151092413&partnerID=8YFLogxK
U2 - 10.1090/pspum/105/10
DO - 10.1090/pspum/105/10
M3 - Article in proceedings
AN - SCOPUS:85151092413
SN - 9781470469771
T3 - Proceedings of Symposia in Pure Mathematics
SP - 197
EP - 210
BT - Cyclic Cohomology at 40
PB - American Mathematical Society
T2 - Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021
Y2 - 27 September 2021 through 1 October 2021
ER -
ID: 345411679