English

Noncommutative counterparts of celebrated conjectures

Algebraic Geometry 2019-01-16 v2 Algebraic Topology K-Theory and Homology Representation Theory

Abstract

In this survey, written for the proceedings of the conference K-theory in algebra, analysis and topology, Buenos-Aires, 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.

Keywords

Cite

@article{arxiv.1812.08774,
  title  = {Noncommutative counterparts of celebrated conjectures},
  author = {Goncalo Tabuada},
  journal= {arXiv preprint arXiv:1812.08774},
  year   = {2019}
}

Comments

Survey article; 23 pages. Revised version. arXiv admin note: text overlap with arXiv:1808.00950