Class field theory as a dynamical system
Number Theory
2011-07-13 v1 Differential Geometry
Dynamical Systems
Functional Analysis
Abstract
This is the text from a talk at the Arbeitstagung 2011, which can serve as an introduction to arxiv:1009.0736 and arXiv:1007.0907. I first discuss how a global field is determined by a certain dynamical system, and how this relates to abelian L-series determining those fields. I then discuss an analog in Riemannian geometry, and how it leads to a metric in the space of closed Riemannian manifolds.
Cite
@article{arxiv.1107.2159,
title = {Class field theory as a dynamical system},
author = {Gunther Cornelissen},
journal= {arXiv preprint arXiv:1107.2159},
year = {2011}
}
Comments
5 pages