Noncommutative geometry and motives (a quoi servent les endomotifs?)
arXiv:0711.0477
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.
36 pages