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Item Details
Title: NONCOMMUTATIVE GEOMETRY AND NUMBER THEORY
WHERE ARITHMETIC MEETS GEOMETRY AND PHYSICS
By: Caterina Consani (Editor), Klas Diederich, Matilde Marcolli (Editor)
Format: Paperback

List price: £59.99


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ISBN 10: 3834826731
ISBN 13: 9783834826732
Publisher: SPRINGER FACHMEDIEN WIESBADEN
Pub. date: 2 December, 2014
Series: Aspects of Mathematics 37
Pages: 380
Language: English & German
Translated from: German
Synopsis: 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 L-factors 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.
Illustrations: biography
Publication: Germany
Imprint: Vieweg+Teubner Verlag
Returns: Returnable
Some other items by this author:
ARITHMETIC AND GEOMETRY AROUND QUANTIZATION (HB)
ARITHMETIC NONCOMMUTATIVE GEOMETRY (PB)
CASIMIR FORCE, CASIMIR OPERATORS AND THE RIEMANN HYPOTHESIS
CASIMIR FORCE, CASIMIR OPERATORS AND THE RIEMANN HYPOTHESIS
COMBINATORICS AND PHYSICS (PB)
COMPLEX ANALYSIS (PB)
DEFORMATION SPACES (HB)
DEFORMATION SPACES (PB)
FEYNMAN MOTIVES (HB)
FEYNMAN MOTIVES (PB)
FROBENIUS MANIFOLDS (HB)
FROBENIUS MANIFOLDS (PB)
INVITATION TO NONCOMMUTATIVE GEOMETRY, AN (HB)
INVITATION TO NONCOMMUTATIVE GEOMETRY, AN (PB)
KONVEXITAET IN DER KOMPLEXEN ANALYSIS
LECTURES ON ALGEBRAIC GEOMETRY (PB)
LECTURES ON ALGEBRAIC GEOMETRY I (HB)
LECTURES ON ALGEBRAIC GEOMETRY II (HB)
LECTURES ON ALGEBRAIC GEOMETRY II (PB)
LUMEN NATURAE (HB)
LUMEN NATURAE (HB)
NONCOMMUTATIVE COSMOLOGY (HB)
NONCOMMUTATIVE COSMOLOGY (PB)
NONCOMMUTATIVE GEOMETRY AND NUMBER THEORY (HB)
NONCOMMUTATIVE GEOMETRY, ARITHMETIC, AND RELATED TOPICS (HB)
NONCOMMUTATIVE GEOMETRY, QUANTUM FIELDS AND MOTIVES
NONCOMMUTATIVE GEOMETRY, QUANTUM FIELDS AND MOTIVES (HB)
QUANTUM GROUPS AND NONCOMMUTATIVE SPACES (HB)
QUANTUM GROUPS AND NONCOMMUTATIVE SPACES (PB)
SEIBERG-WITTEN GAUGE THEORY (PB)
SEIBERG-WITTEN GUAGE THEORY (HB)
TRACES IN NUMBER THEORY, GEOMETRY AND QUANTUM FIELDS (HB)

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