Topological cyclic homology
Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning
This handbook chapter gives an introduction to topological cyclic homology following the modern setup of Nikolaus-Scholze. It contains a proof of the Bökstedt periodicity theorem close to his original unpublished proof, as well as the proof by Bhatt-Morrow-Scholze of its extension to all perfectoid rings. The latter is used to give a purely p-adic proof of the Bott periodicity theorem. Finally, the cofiber of the assembly map in p-adic K-theory for a cyclic group of order p and a perfectoid ring of coefficients is calculated.
Originalsprog | Engelsk |
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Titel | Handbook of Homotopy Theory |
Redaktører | Haynes Miller |
Forlag | CRC Press |
Publikationsdato | 2019 |
Udgave | 1 |
Kapitel | 15 |
ISBN (Trykt) | 9780815369707 |
Status | Udgivet - 2019 |
Navn | CRC Press/Chapman and Hall Handbooks in Mathematics Series |
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ID: 231710326