Quantum Statistical Mechanics of the Absolute Galois Group
Algebraic Geometry
2020-05-06 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1907.13545,
title = {Quantum Statistical Mechanics of the Absolute Galois Group},
author = {Yuri I. Manin and Matilde Marcolli},
journal= {arXiv preprint arXiv:1907.13545},
year = {2020}
}