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arXiv · 1907.13545

Quantum Statistical Mechanics of the Absolute Galois Group

Yuri I. Manin·Matilde Marcolli
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Abstract

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.

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Yuri I. Manin, Matilde Marcolli. 2019-07-31. Quantum Statistical Mechanics of the Absolute Galois Group. https://doi.org/10.3842/sigma.2020.038

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