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arXiv:1907.13545 [math.AG]AbstractReferencesReviewsResources

Quantum Statistical Mechanics of the Absolute Galois Group

Yuri I. Manin, Matilde Marcolli

Published 2019-07-31Version 1

We present possible extensions of the quantum statistical mechanical formulation of class field theory to the non-abelian case, based on the action of the absolute Galois group on Grothendieck's dessins d'enfant, the embedding in the Grothendieck-Teichm\"uller group, and the Drinfeld-Ihara involution.

Comments: 55 pages LaTeX
Categories: math.AG, math-ph, math.MP
Subjects: 14H57, 11G32, 82B10, 81R60, 58B34
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