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Noncommutative geometry and number theory : where arithmetic meets geometry and physics

Author: Caterina Consani; Matilde Marcolli; Max-Planck-Institut für Mathematik.
Publisher: Wiesbaden : Vieweg, ©2006.
Series: Aspects of mathematics., E ;, v. 37.
Edition/Format:   eBook : Document : Conference publication : English : 1st edView all editions and formats
Database:WorldCat
Summary:
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative  Read more...
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Genre/Form: Electronic books
Conference proceedings
Congresses
Additional Physical Format: Print version:
Noncommutative geometry and number theory.
Wiesbaden : Vieweg, c2006
(OCoLC)71340940
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Caterina Consani; Matilde Marcolli; Max-Planck-Institut für Mathematik.
ISBN: 3834801704 9783834801708 9783834803528 3834803529
OCLC Number: 316435456
Notes: "A publication of the Max-Planck-Institute for Mathematics, Bonn."
"The contributions to this volume partly reflect the two workshops "Noncommutative Geometry and Number Theory" that took place at the Max-Planck-Institut für Mathematik in Bonn, in August 2003 and June 2004"--Pref.
Description: 1 online resource (viii, 372 p.) : ill.
Contents: The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
Series Title: Aspects of mathematics., E ;, v. 37.
Responsibility: Caterina Consani, Matilde Marcolli (eds.).
More information:

Abstract:

In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect

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