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Noncommutative Geometry and Number Theory: Where Arithmetic...

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

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

年:
2006
版本:
1
出版商:
Vieweg+Teubner Verlag
語言:
english
頁數:
372
ISBN 10:
3834803529
ISBN 13:
9783834803528
系列:
Aspects of Mathematics
文件:
PDF, 6.38 MB
IPFS:
CID , CID Blake2b
english, 2006
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