Noncommutative counterparts of celebrated conjectures

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In this survey, written for the proceedings of the K-theory conference, Buenos Aires and La Plata, Argentina (satellite event of the ICM 2018), we give a rigorous overview of the noncommutative counterparts of some celebrated conjectures of Grothendieck, Voevodsky, Beilinson, Weil, Tate, Parshin, Kimura, Schur, and others.

Original languageEnglish
Pages (from-to)353-377
Number of pages25
JournalContemporary Mathematics
Publication statusPublished - 2020
EventICM K-Theory Conference - Buenos Aires, Argentina
Duration: 23 Jul 201827 Jul 2018


  • Algebraic geometry
  • Differential geometry


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