**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 in Physics**

by

**Alexander Altland**

Contents: Exterior Calculus (Exterior Algebra, Differential forms in Rn, Metric, Gauge theory); Manifolds (Basic structures, Tangent space); Lie groups (Lie group actions, Lie algebras, Lie algebra actions, From Lie algebras to Lie groups).

(

**6830**views)

**Lectures on Calabi-Yau and Special Lagrangian Geometry**

by

**Dominic Joyce**-

**arXiv**

An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.

(

**7472**views)

**Introduction to Braided Geometry and q-Minkowski Space**

by

**Shahn Majid**-

**arXiv**

Systematic introduction to the geometry of linear braided spaces. These are versions of Rn in which the coordinates xi have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to q-deformation.

(

**4478**views)

**An Introduction to Noncommutative Spaces and their Geometry**

by

**Giovanni Landi**-

**arXiv**

These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.

(

**7556**views)