Quantum Statistical Mechanics of the Absolute Galois Group
arXiv:1907.13545 · doi:10.3842/SIGMA.2020.038
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-Teichmüller group, and the Drinfeld-Ihara involution.