Fields Institute Communications
Volume: 61; 2011; 163 pp; Hardcover
MSC: Primary 58; Secondary 19; 16; 18
Print ISBN: 978-0-8218-4849-4
Product Code: FIC/61
List Price: $94.00
Individual Member Price: $75.20
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Perspectives on Noncommutative GeometryShare this page
Edited by Masoud Khalkhali; Guoliang Yu
A co-publication of the AMS and Fields Institute
This volume represents the proceedings of the Noncommutative Geometry
Workshop that was held as part of the thematic program
on operator algebras at the Fields Institute in May 2008.
Pioneered by Alain Connes starting in the late 1970s, noncommutative geometry was originally inspired by global analysis, topology, operator algebras, and quantum physics. Its main applications were to settle some long-standing conjectures, such as the Novikov conjecture and the Baum-Connes conjecture.
Next came the impact of spectral geometry and the way the spectrum of a geometric operator, like the Laplacian, holds information about the geometry and topology of a manifold, as in the celebrated Weyl law. This has now been vastly generalized through Connes' notion of spectral triples.
Finally, recent years have witnessed the impact of number theory, algebraic geometry and the theory of motives, and quantum field theory on noncommutative geometry. Almost all of these aspects are touched upon with new results in the papers of this volume.
This book is intended for graduate students and researchers in both mathematics and theoretical physics who are interested in noncommutative geometry and its applications.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Table of Contents
Table of Contents
Perspectives on Noncommutative Geometry
Graduate students and research mathematicians interested in noncommutative geometry.