Logo

An informal introduction to the ideas and concepts of noncommutative geometry

Small book cover: An informal introduction to the ideas and concepts of noncommutative geometry

An informal introduction to the ideas and concepts of noncommutative geometry
by

Publisher: arXiv
Number of pages: 56

Description:
This informal introduction is an extended version of a three hours lecture given at the 6th Peyresq meeting "Integrable systems and quantum field theory". In this text, we make an overview of some of the mathematical results which motivated the development of what is called noncommutative geometry.

Home page url

Download or read it online for free here:
Download link
(530KB, PDF)

Similar books

Book cover: Homological Methods in Noncommutative GeometryHomological Methods in Noncommutative Geometry
by
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.
(8834 views)
Book cover: Noncommutative GeometryNoncommutative Geometry
by - 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.
(13743 views)
Book cover: Noncommutative Geometry, Quantum Fields and MotivesNoncommutative Geometry, Quantum Fields and Motives
by - 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.
(12922 views)
Book cover: Very Basic Noncommutative GeometryVery Basic Noncommutative Geometry
by - 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.
(7959 views)