Primes, knots and periodic orbits
Number Theory
2023-01-30 v1 Analysis of PDEs
Dynamical Systems
Abstract
This is a text written for the Ennio De Giorgi Colloquio volume. It covers analogies between algebraic number theory and knot theory, analogies between analytic number theory and certain dynamical systems, and a report on our construction of dynamical systems for arithmetic schemes which realize some of these analogies.
Cite
@article{arxiv.2301.11643,
title = {Primes, knots and periodic orbits},
author = {Christopher Deninger},
journal= {arXiv preprint arXiv:2301.11643},
year = {2023}
}