Quantum Statistical Mechanics of the Absolute Galois Group [article]

Yuri I. Manin, Matilde Marcolli
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