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: 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.
(7949 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.
(8301 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.
(5021 views)
Book cover: Geometry and Topology in Electronic Structure TheoryGeometry and Topology in Electronic Structure Theory
by - University of Trieste
From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.
(5100 views)