Noncommutative Geometry and Number Theory: Where Arithmetic Meets Geometry and Physics: 37 - Rilegato

Libro 2 di 6: Aspects of Mathematics
 
9783834801708: Noncommutative Geometry and Number Theory: Where Arithmetic Meets Geometry and Physics: 37

Sinossi

Recent interactions between the fields of Noncommutative Geometry and Number Theory

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Informazioni sull?autore

Prof. Dr. Caterina Consani, Department of Mathematics, The Johns Hopkins University, Baltimore, USA
Prof. Dr. Matilde Marcolli, Max-Planck Institute for Mathematics, Bonn, Germany

Dalla quarta di copertina

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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Altre edizioni note dello stesso titolo

9783834826732: Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics: 37

Edizione in evidenza

ISBN 10:  3834826731 ISBN 13:  9783834826732
Casa editrice: Vieweg+Teubner Verlag, 2014
Brossura