**Noncommutative Geometry, Quantum Fields and Motives**

by Alain Connes, Matilde Marcolli

**Publisher**: American Mathematical Society 2007**ISBN/ASIN**: 0821842102**ISBN-13**: 9780821842102**Number of pages**: 705

**Description**:

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: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new geometric tools.

Download or read it online for free here:

**Download link**

(6.4MB, PDF)

## Similar books

**Geometry, Topology and Physics**

by

**Maximilian Kreuzer**-

**Technische Universitat Wien**

From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.

(

**12644**views)

**Lectures on complex geometry, Calabi-Yau manifolds and toric geometry**

by

**Vincent Bouchard**-

**arXiv**

These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.

(

**5680**views)

**The Geometrization of Physics**

by

**Richard S. Palais**-

**University of California at Irvine**

The major goal of these notes is to develop an observation that not only can gauge fields of the Yang-Mills type be unified with the Einstein model of gravitation, but also that when this unification is made they are described by pure geometry.

(

**8845**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.

(

**9156**views)