Noncommutative Geometry, Quantum Fields and Motives
by Alain Connes, Matilde Marcolli
Publisher: American Mathematical Society 2008
ISBN/ASIN: 0821842102
ISBN-13: 9780821842102
Number of pages: 808
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
Edinburgh Lectures on Geometry, Analysis and Physicsby 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.
(11703 views)
Differential Geometry in Physicsby Gabriel Lugo - University of North Carolina at Wilmington
These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.
(21327 views)
Noncommutative Geometryby 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.
(16060 views)
First Steps Towards a Symplectic Dynamicsby 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.
(13468 views)