On a relation between Deninger's foliated dynamical systems and Connes-Consani's adelic spaces

2025/08/21 by Morishita, Masanori
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.15971

Abstract

We give a relation between Deninger's foliated dynamical systems associated to abelian number fields and Connes-Consani's adelic spaces. It fits with the analogy between knots and primes in arithmetic topology and lights up a geometric view of class field theory.

Related

• Number theory and dynamical systems on foliated spaces
• Arithmetic Geometry and Analysis on Foliated Spaces
• Sur l'analogie entre le système dynamique de Deninger et le topos Weil-étale
• A note on arithmetic topology and dynamical systems
• Primes, knots and periodic orbits