Overview
- Editors:
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Caterina Consani
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Department of Mathematics, The Johns Hopkins University, Baltimore, USA
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Matilde Marcolli
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Max-Planck-Institut für Mathematik, Bonn
- Aktuelles aus der mathematischen Forschung
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Table of contents (17 chapters)
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Front Matter
Pages i-viii
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- Anne-Marie Aubert, Paul Baum, Roger Plymen
Pages 1-34
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- Florin P. Boca, Alexandru Zaharescu
Pages 57-77
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- Alain Connes, Henri Moscovici
Pages 79-107
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- Caterina Consani, Matilde Marcolli
Pages 109-140
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- Alexander Fel’shtyn, Evgenij Troitsky
Pages 141-154
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- Masoud Khalkhali, Bahram Rangipour
Pages 155-178
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- Marcelo Laca, Machiel van Frankenhuijsen
Pages 205-216
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- Matilde Marcolli, Varghese Mathai
Pages 235-261
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About this book
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. Research across these ?elds has now reached an imp- tant turning point, as shows the increasing interest with which the mathematical community approaches these topics. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new c- nections between the ?elds of number theory, algebraic geometry and noncom- tative geometry. Thecontributionstothisvolumepartlyre?ectthetwoworkshops“Noncom- tative Geometry and Number Theory” that took place at the Max–Planck–Institut f¨ ur Mathematik in Bonn, in August 2003 and June 2004. The two workshops were the ?rst activity entirely dedicated to the interplay between these two ?elds of mathematics. An important part of the activities, which is also re?ected in this volume, came from the hindsight of physics which often provides new perspectives onnumber theoretic problems that make it possible to employ the tools of nonc- mutative geometry, well designed to describe the quantum world.
Editors and Affiliations
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Department of Mathematics, The Johns Hopkins University, Baltimore, USA
Caterina Consani
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Max-Planck-Institut für Mathematik, Bonn
Matilde Marcolli
About the editors
Prof. Dr. Caterina Consani, Department of Mathematics, The Johns Hopkins University, Baltimore, USA
Prof. Dr. Matilde Marcolli, Max-Planck Institute for Mathematics, Bonn, Germany
