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Noncommutative Geometry and Number Theory - Where Arithmetic meets Geometry and Physics (Paperback, 2006 ed.)
Loot Price: R2,174
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Noncommutative Geometry and Number Theory - Where Arithmetic meets Geometry and Physics (Paperback, 2006 ed.)
Series: Aspects of Mathematics, 37
Expected to ship within 10 - 15 working days
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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 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.
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