**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 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.

(

**8461**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.

(

**4202**views)

**Topology and Physics: A Historical Essay**

by

**C. Nash**-

**arXiv**

In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.

(

**7901**views)

**Edinburgh Lectures on Geometry, Analysis and Physics**

by

**Michael Atiyah**-

**arXiv**

These notes are based on a set of six lectures that the author gave in Edinburgh and they cover some topics in the interface between Geometry and Physics. They involve some unsolved problems and they may stimulate readers to investigate them.

(

**4585**views)