Description

Book Synopsis
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.

Trade Review
...the authors manage very well in filtering and presenting the central ideas whilst including a rich and precise list of references to the literature. ...will undoubtedly serve as an inspiration to the formidable mathematical question on the structure of the following two spaces: spacetime and the space of primes."" - Mathematical Reviews

Table of Contents
  • Quantum fields, noncommutative spaces, and motives
  • The Riemann zeta function and noncommutative geometry
  • Quantum statistical mechanics and Galois symmetries
  • Endomotives, thermodynamics, and the Weil explicit formula
  • Appendix
  • Bibliography
  • Index.

    Noncommutative Geometry Quantum Fields and

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      A Paperback by Alain Connes, Matilde Marcolli

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        Book details

        Publisher American Mathematical Society
        Published 3/30/2019 12:00:00 AM
        ISBN-13 9781470450458
        978-1470450458
        ISBN-10 1470450453
        Also in:
        Topology

        Description

        Book Synopsis
        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.

        Trade Review
        ...the authors manage very well in filtering and presenting the central ideas whilst including a rich and precise list of references to the literature. ...will undoubtedly serve as an inspiration to the formidable mathematical question on the structure of the following two spaces: spacetime and the space of primes."" - Mathematical Reviews

        Table of Contents
        • Quantum fields, noncommutative spaces, and motives
        • The Riemann zeta function and noncommutative geometry
        • Quantum statistical mechanics and Galois symmetries
        • Endomotives, thermodynamics, and the Weil explicit formula
        • Appendix
        • Bibliography
        • Index.

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