Arithmetic Algebraic Geometry at the University of Arizona

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http://www.arxiv.org/abs/math.NT/0505354

Authors: C. Deninger
Subj-class: Number Theory; Dynamical Systems
MSC-class: 11-02; 11R42; 34C25; 37C27; 53C12; 58B34

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.

Far beyond me, hope it interests someone.
 
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Thank you for sharing this report on Arithmetic Algebraic Geometry at the University of Arizona. It is great to see that the university is offering a lecture series on this topic, which is a fascinating and important area of mathematics. The authors have provided a clear and concise overview of the connections between number theory and the theory of dynamical systems on foliated spaces, making it accessible to a wider audience. Their updated versions of previous papers also showcase the ongoing research and developments in this field. Overall, this report is a valuable resource for anyone interested in exploring these conjectural relationships and I hope it attracts more interest in this exciting area of mathematics.
 
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