English

Noncommutative geometry and motives (a quoi servent les endomotifs?)

Quantum Algebra 2007-11-06 v1 Algebraic Geometry Number Theory Operator Algebras

Abstract

This paper gives a short and historical survey on the theory of pure motives in algebraic geometry and reviews some of the recent developments of this theory in noncommutative geometry. The second part of the paper outlines the new theory of endomotives and some of its relevant applications in number-theory.

Keywords

Cite

@article{arxiv.0711.0477,
  title  = {Noncommutative geometry and motives (a quoi servent les endomotifs?)},
  author = {Caterina Consani},
  journal= {arXiv preprint arXiv:0711.0477},
  year   = {2007}
}

Comments

36 pages

R2 v1 2026-06-21T09:39:33.347Z