Logo

Noncommutative Geometry, Quantum Fields and Motives

Large book cover: Noncommutative Geometry, Quantum Fields and Motives

Noncommutative Geometry, Quantum Fields and Motives
by

Publisher: American Mathematical Society
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.

Home page url

Download or read it online for free here:
Download link
(6.4MB, PDF)

Similar books

Book cover: Lectures on complex geometry, Calabi-Yau manifolds and toric geometryLectures on complex geometry, Calabi-Yau manifolds and toric geometry
by - 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.
(8804 views)
Book cover: Geometry of Quantum MechanicsGeometry of Quantum Mechanics
by - 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.
(13632 views)
Book cover: The Geometrization of PhysicsThe Geometrization of Physics
by - 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.
(12347 views)
Book cover: Noncommutative GeometryNoncommutative Geometry
by - 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.
(13137 views)