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Surveys in Noncommutative Geometry -

Surveys in Noncommutative Geometry

Nigel Higson, John Roe (Herausgeber)

Buch | Softcover
189 Seiten
2006
American Mathematical Society (Verlag)
978-0-8218-3846-4 (ISBN)
CHF 94,25 inkl. MwSt
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In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer Research Conference. It consisted of several series of expository lectures which were intended to introduce key topics in noncommutative geometry. This title includes those lectures.
In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer Research Conference. These events were held at Mount Holyoke College in Massachusetts from June 18 to 29, 2000. The Instructional Symposium consisted of several series of expository lectures which were intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject.Those expository lectures have been edited and are reproduced in this volume. The lectures of Rosenberg and Weinberger discuss various applications of noncommutative geometry to problems in 'ordinary' geometry and topology. The lectures of Lagarias and Tretkoff discuss the Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory. Higson gives an account of the 'residue index theorem' of Connes and Moscovici. Noncommutative geometry is to an unusual extent the creation of a single mathematician, Alain Connes. The present volume gives an extended introduction to several aspects of Connes' work in this fascinating area.

A minicourse on applications of non-commutative geometry to topology by J. Rosenberg On Novikov-type conjectures by S. S. Chang and S. Weinberger The residue index theorem of Connes and Moscovici by N. Higson The Riemann hypothesis: Arithmetic and geometry by J. C. Lagarias Noncommutative geometry and number theory by P. Tretkoff.

Erscheint lt. Verlag 13.3.2007
Reihe/Serie Clay Mathematics Proceedings
Zusatzinfo Illustrations
Verlagsort Providence
Sprache englisch
Gewicht 369 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-8218-3846-6 / 0821838466
ISBN-13 978-0-8218-3846-4 / 9780821838464
Zustand Neuware
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