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

by Thierry Masson

**Publisher**: arXiv 2006**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.

Download or read it online for free here:

**Download link**

(530KB, PDF)

## Similar books

**Noncommutative Geometry, Quantum Fields and Motives**

by

**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.

(

**6981**views)

**Homological Methods in Noncommutative Geometry**

by

**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.

(

**4642**views)

**Surveys in Noncommutative Geometry**

by

**Nigel Higson, John Roe**-

**American Mathematical Society**

These lectures are 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, residue index theorem, etc.

(

**5078**views)

**Very Basic Noncommutative Geometry**

by

**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.

(

**3171**views)