On noncommutative crystalline cohomology

Boris Tsygan*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We outline several constructions of a noncommutative version of crystalline cohomology for an associative algebra over a field of positive characteristic.

Original languageEnglish (US)
Title of host publicationCyclic Cohomology at 40
Subtitle of host publicationAchievements and Future Prospects
EditorsAlain Connes, Alain Connes, Caterina Consani, Bjørn Ian Dundas, Masoud Khalkhali, Henri Moscovici
PublisherAmerican Mathematical Society
Pages491-511
Number of pages21
ISBN (Print)9781470469771
DOIs
StatePublished - 2023
EventVirtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021 - Virtual, Online
Duration: Sep 27 2021Oct 1 2021

Publication series

NameProceedings of Symposia in Pure Mathematics
Volume105
ISSN (Print)0082-0717
ISSN (Electronic)2324-707X

Conference

ConferenceVirtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021
CityVirtual, Online
Period9/27/2110/1/21

Keywords

  • crystalline cohomology
  • De Rham cohomology
  • Hochschild and cyclic homology

ASJC Scopus subject areas

  • General Mathematics

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