**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

**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.

(

**9219**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.

(

**9198**views)

**First Steps Towards a Symplectic Dynamics**

by

**Barney Bramham, Helmut Hofer**-

**arXiv**

Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.

(

**11618**views)

**Geometry of Quantum Mechanics**

by

**Ingemar Bengtsson**-

**Stockholms universitet, Fysikum**

These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.

(

**14092**views)