course dates credits
Introduction to Quantum Gravity Apr 20 - Apr 30 2
teachers schedule term
Daniele Pranzetti Mon-Thu, 10:00-11:30 3

Program:

This series of lectures will provide a modern introduction to some of the current approaches to quantum gravity, trying to emphasize the common ideas behind the more recent developments and introducing some of the shared techniques. In particular, after an overview of the main traditional approaches, it will be illustrated how the notion of boundary charges a symmetry algebras provide a powerful formalism in terms of which one can frame and study quantum geometry approaches as well as holographic ones. The key mathematical language is the one of the phase space formalism, which will be introduced in quite some detail and applied to the quantization of both finite and infinite distance boundary degrees of freedom associated to the gravitational field.

  1. Why quantum gravity?
  2. The symmetry principle
  3. Covariant phase space
  4. Noether's theorems and charge algebra
  5. Gravity formulations
  6. Quantum geometry
  7. Asymptotic symmetry groups
  8. Celestial holography

Prerequisites:

Books:

  • Handbook of Quantum Gravity, Springer Singapore, Editors Cosimo Bambi, Leonardo Modesto, Ilya Shapiro (2024)

Online Resources:

Filename Size (bytes) Date Modified