Motive

introduction

• Voevodsky's derived category of motives is the main arena today for the study of algebraic cycles and motivic cohomology.
• Feynman motive

encyclopedia

• http://en.wikipedia.org/wiki/Motive_(algebraic_geometry)

expositions

• Rios, Michael. “On a Final Theory of Mathematics and Physics.” arXiv:1502.04794 [hep-Th, Physics:physics], February 16, 2015. http://arxiv.org/abs/1502.04794.
• Rej, Abhijnan, and Matilde Marcolli. “Motives: An Introductory Survey for Physicists.” arXiv:0907.4046 [hep-Th, Physics:math-Ph], July 23, 2009. http://arxiv.org/abs/0907.4046.

articles

• Totaro, Burt. “Adjoint Functors on the Derived Category of Motives.” arXiv:1502.05079 [math], February 17, 2015. http://arxiv.org/abs/1502.05079.