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: Introduction to Braided Geometry and q-Minkowski SpaceIntroduction to Braided Geometry and q-Minkowski Space
by - 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.
(4035 views)
Book cover: Lectures on the Geometry of QuantizationLectures on the Geometry of Quantization
by - University of California at Berkeley
An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.
(6978 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.
(7514 views)
Book cover: Edinburgh Lectures on Geometry, Analysis and PhysicsEdinburgh Lectures on Geometry, Analysis and Physics
by - 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.
(4435 views)