Published October 1, 2009 | Submitted
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Motives: an introductory survey for physicists

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Abstract

We survey certain accessible aspects of Grothendieck's theory of motives in arithmetic algebraic geometry for mathematical physicists, focussing on areas that have recently found applications in quantum field theory. An appendix (by Matilde Marcolli) sketches further connections between motivic theory and theoretical physics.

Additional Information

(Submitted on 23 Jul 2009 (v1), last revised 1 Oct 2009 (this version, v2). Part of this work was done while the author was employed by the Clay Mathematics Institute as a Junior Research Scholar.

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