**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.

(

**7147**views)

**Noncommutative Geometry**

by

**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.

(

**8206**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.

(

**5211**views)

**Geometric Models for Noncommutative Algebra**

by

**Ana Cannas da Silva, Alan Weinstein**-

**University of California at Berkeley**

Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, like the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces.

(

**5254**views)