Stratified Noncommutative Geometry PDF Download
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Author: David Ayala
Publisher: American Mathematical Society
ISBN: 1470469626
Category : Mathematics
Languages : en
Pages : 272
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Author: David Ayala
Publisher: American Mathematical Society
ISBN: 1470469626
Category : Mathematics
Languages : en
Pages : 272
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Book Description
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Author: Ursula Carow-Watamura
Publisher: World Scientific
ISBN: 9812704698
Category : Mathematics
Languages : en
Pages : 333
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Book Description
Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint. It is also providing new tools for the investigation of quantum space?time in physics. Recent developments in string theory have supported the idea of quantum spaces, and have strongly stimulated the research in this field. This self-contained volume contains survey lectures and research articles which address these issues and related topics. The book is accessible to both researchers and graduate students beginning to study this subject.
Author: Vladimir E. Nazaykinskiy
Publisher: Springer Science & Business Media
ISBN: 3764387750
Category : Mathematics
Languages : en
Pages : 224
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Book Description
This comprehensive yet concise book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. This is the first book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. To make the book self-contained, the authors have included necessary geometric material.
Author: Ali Chamseddine
Publisher: Springer Nature
ISBN: 3030295974
Category : Mathematics
Languages : en
Pages : 753
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Book Description
This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come. The pertinence and potency of new concepts and methods are concretely illustrated in each contribution. Much of the content is a direct outgrowth of the Noncommutative Geometry conference, held March 23–April 7, 2017, in Shanghai, China. The conference covered the latest research and future areas of potential exploration surrounding topology and physics, number theory, as well as index theory and its ramifications in geometry.
Author: Nigel Higson
Publisher: American Mathematical Soc.
ISBN: 9780821838464
Category : Mathematics
Languages : en
Pages : 212
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Book Description
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. Information for our distributors: Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).
Author: Tohru Eguchi
Publisher: Cambridge University Press
ISBN: 1107056411
Category : Mathematics
Languages : en
Pages : 303
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Book Description
This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.
Author: Deniz Bilman
Publisher: American Mathematical Society
ISBN: 1470471213
Category : Mathematics
Languages : en
Pages : 102
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Author: Itay Glazer
Publisher: American Mathematical Society
ISBN: 1470470438
Category : Mathematics
Languages : en
Pages : 110
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Book Description
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Author: John Bergdall
Publisher: American Mathematical Society
ISBN: 1470470314
Category : Mathematics
Languages : en
Pages : 138
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Book Description
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Author: J. Adams
Publisher: American Mathematical Society
ISBN: 1470471051
Category : Mathematics
Languages : en
Pages : 122
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Book Description
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