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

by Caterina Consani
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Current price ₹5,141.00
Original price ₹7,909.00
Original price ₹7,909.00
Original price ₹7,909.00
(-35%)
₹5,141.00
Current price ₹5,141.00

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Book cover type: Paperback
  • ISBN13: 9783834826732
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 372
  • Original Price: EUR 69.99
  • Language: English
  • Edition: 2006
  • Item Weight: 542 grams
  • BISAC Subject(s): Geometry / General

From the Back Cover
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.

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

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