Surveys in Noncommutative Geometry
by Nigel Higson, John Roe
Publisher: American Mathematical Society 2006
ISBN/ASIN: 0821838466
ISBN-13: 9780821838464
Number of pages: 208
Description:
The series of expository lectures intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Topics: applications of noncommutative geometry to problems in ordinary geometry and topology, Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory, residue index theorem of Connes and Moscovici, etc.
Download or read it online for free here:
Download link
(1.8MB, PDF)
Similar books
Homological Methods in Noncommutative Geometryby D. Kaledin
The first seven lectures deal with the homological part of the story (cyclic homology, its various definitions, various additional structures it possesses). Then there are four lectures centered around Hochschild cohomology and the formality theorem.
(10523 views)
Very Basic Noncommutative Geometryby Masoud Khalkhali - University of Western Ontario
Contents: Introduction; Some examples of geometry-algebra correspondence; Noncommutative quotients; Cyclic cohomology; Chern-Connes character; Banach and C*-algebras; Idempotents and finite projective modules; Equivalence of categories.
(9686 views)
Noncommutative Geometryby Alain Connes - Academic Press
The definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics. Ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics.
(16954 views)
Noncommutative Geometry, Quantum Fields and Motivesby Alain Connes, Matilde Marcolli - American Mathematical Society
The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.
(16238 views)