Three arithmetic sites
Category Theory
2020-04-20 v2 Algebraic Geometry
Number Theory
Rings and Algebras
Abstract
Two new arithmetic sites are introduced, based on dynamical Belyi maps and Conway's big picture, respectively. We relate these to arboreal Galois representations, Bost-Connes data, and the original arithmetic site due to Connes and Consani.
Cite
@article{arxiv.2003.01387,
title = {Three arithmetic sites},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:2003.01387},
year = {2020}
}
Comments
Modified definition of Conway monoid