Arithmetic Geometry and Analysis on Foliated Spaces

2005/05/17 by C. Deninger, Deninger, C.
Mathematics · #11-02 #11R42 #34C25 #37C27 #53C12 #58B34 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.DS #math.NT #msc:11-02 #msc:11R42 #msc:34C25 #msc:37C27 #msc:53C12 #msc:58B34

paper · pdf · doi:10.48550/arxiv.math/0505354

arxiv created 2005/05/17 · arxiv updated 2009/12/01

Abstract

This report on the topics in the title was written for a lecture series at the Southwestern Center for Arithmetic Algebraic Geometry at the University of Arizona.It may serve as an introduction to certain conjectural relations between number theory and the theory of dynamical systems on foliated spaces. The material is based on streamlined and updated versions of earlier papers on this subject.

Related

• Number theory and dynamical systems on foliated spaces
• Analogies between analysis on foliated spaces and arithmetic geometry
• Lectures on Foliation Dynamics: Barcelona 2010
• On a relation between Deninger's foliated dynamical systems and Connes-Consani's adelic spaces
• A remark on a relation between foliations and number theory