Topological cyclic homology and the Fargues–Fontaine curve
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
Dokumenter
- Fulltext
Indsendt manuskript, 210 KB, PDF-dokument
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.
Originalsprog | Engelsk |
---|---|
Titel | Cyclic Cohomology at 40 : Achievements and Future Prospects |
Antal sider | 14 |
Forlag | American Mathematical Society |
Publikationsdato | 2023 |
Sider | 197-210 |
ISBN (Trykt) | 9781470469771 |
DOI | |
Status | Udgivet - 2023 |
Begivenhed | Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021 - Virtual, Online Varighed: 27 sep. 2021 → 1 okt. 2021 |
Konference
Konference | Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021 |
---|---|
By | Virtual, Online |
Periode | 27/09/2021 → 01/10/2021 |
Navn | Proceedings of Symposia in Pure Mathematics |
---|---|
Vol/bind | 105 |
ISSN | 0082-0717 |
Bibliografisk note
Funding Information:
The author was partially supported by the Danish National Research Foundation through the Copenhagen Center for Geometry and Topology (DNRF151) and by JSPS Grant-in-Aid for Scientific Research number 21K03161.
Publisher Copyright:
© 2023 American Mathematical Society.
ID: 345411679