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OverviewIn 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. Full Product DetailsAuthor: Caterina Consani , Matilde Marcolli , Klas DiederichPublisher: Springer Fachmedien Wiesbaden Imprint: Vieweg+Teubner Verlag Edition: 2006 ed. Volume: 37 Weight: 0.738kg ISBN: 9783834801708ISBN 10: 3834801704 Pages: 372 Publication Date: 12 April 2006 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Language: English Table of ContentsReviewsAuthor InformationProf. Dr. Caterina Consani, Department of Mathematics, The Johns Hopkins University, Baltimore, USA Prof. Dr. Matilde Marcolli, Max-Planck Institute for Mathematics, Bonn, Germany Tab Content 6Author Website:Countries AvailableAll regions |