ENGLISH

Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics

By Paul Baum , Prof. Dr. Matilde Marcolli (eds.) , Anne-Marie Aubert , Roger Plymen (auth.) , Prof. Dr. Caterina Consani

Book information

Publisher
Vieweg+Teubner Verlag
Year
2006
ISBN
978-3-8348-0170-8, 978-3-8348-0352-8
DOI
10.1007/978-3-8348-0352-8
Language
english
Format
PDF
Filesize
6 MB (6686252 bytes)
Series
Aspects of Mathematics
Edition
1
Pages
372\373
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
generalMathematics

Description

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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