Skip to content
Register Sign in Wishlist
New Spaces in Physics

New Spaces in Physics
Formal and Conceptual Reflections

Volume 2

c.£34.99

  • Editors:
  • Mathieu Anel, Carnegie Mellon University, Pennsylvania
  • Gabriel Catren, Centre National de la Recherche Scientifique (CNRS), Paris
Mathieu Anel, Gabriel Catren, Alain Connes, Klaas Landsman, Mikhail Kapranov, Damien Calaque, Urs Schreiber, John C. Baez, Roger Penrose, Muxin Han, Marcos Mariño
View all contributors
  • Publication planned for: August 2020
  • availability: Not yet published - available from August 2020
  • format: Hardback
  • isbn: 9781108490627

c.£ 34.99
Hardback

Pre-order Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Mathematicians have long known that geometry is not absolute. Our understanding of what constitutes a 'space' has driven, and been driven by, significant applications inside and outside of mathematics. The workshop 'New Spaces in Mathematics and Physics', held in 2015 at the Institut Henri Poincaré, brought together many researchers to discuss various new notions of space in mathematics and theoretical physics, with particular attention given to often overlooked aspects of their subjects, conceptual reflections and historical perspectives. This volume and its companion New Spaces in Mathematics arise from their lectures and discussions. This volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry in string theory.

    • Introduces a vast array of notions of 'space' in mathematics and physics, suitable for graduates and researchers
    • Includes a mixture of formal introductions and more conceptual reflections, historical perspectives, and current open problems
    • Contains chapters written by leading mathematicians and theoretical physicists (including two Fields Medallists)
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Publication planned for: August 2020
    • format: Hardback
    • isbn: 9781108490627
    • dimensions: 228 x 152 mm
    • contains: 22 b/w illus. 1 table
    • availability: Not yet published - available from August 2020
  • Table of Contents

    Introduction Mathieu Anel and Gabriel Catren
    Part I. Noncommutative and super-commutative geometries:
    1. Noncommutative geometry, the spectral standpoint Alain Connes
    2. The logic of quantum mechanics (revisited) Klaas Landsman
    3. Supergeometry in mathematics and physics Mikhail Kapranov
    Part II. Symplectic geometry:
    4. Derived stacks in symplectic geometry Damien Calaque
    5. Higher prequantum geometry Urs Schreiber
    Part III. Spacetime:
    6. Struggles with the continuum John C. Baez
    7. Twistor theory: a geometric programme for describing the physical world Roger Penrose
    8. Quantum geometry of space Muxin Han
    9. Stringy geometry and emergent space Marcos Mariño.

  • Editors

    Mathieu Anel, Carnegie Mellon University, Pennsylvania
    Mathieu Anel is Assistant Professor at Carnegie Mellon University. His research interests include higher category theory, topos theory, and symplectic geometry.

    Gabriel Catren, Centre National de la Recherche Scientifique (CNRS), Paris
    Gabriel Catren is Permanent Researcher at the French National Centre for Scientific Research (CNRS). His main areas of research are the foundations of classical and quantum mechanics, and the foundations of gauge theories (general relativity and Yang–Mills theories).

    Contributors

    Mathieu Anel, Gabriel Catren, Alain Connes, Klaas Landsman, Mikhail Kapranov, Damien Calaque, Urs Schreiber, John C. Baez, Roger Penrose, Muxin Han, Marcos Mariño

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×