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Quantum Statistical Mechanics of the Absolute Galois Group
[article]
2020
arXiv
pre-print
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.
arXiv:1907.13545v2
fatcat:h3c5feeejzhfhj73lmfzy6uy24