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

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...

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Detaylı Bibliyografya
Yazar: Consani, Caterina (Yayın yönetmeni)
Diğer Yazarlar: Marcolli, Matilde, 1969- (Yayın yönetmeni)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Wiesbaden : Vieweg+Teubner Verlag 2006.
Cham : Springer Nature
Seri Bilgileri:Aspects of Mathematics
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Edition sous un autre format:• Noncommutative Geometry and Number Theory, Texte imprimé, 9783834801708
• Noncommutative Geometry and Number Theory, Texte imprimé, 9783834826732
Diğer Bilgiler
Özet: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
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783834803528
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