Course curriculum

  • 1

    Welcome to the Quantum Gravity course

    • Course outline
  • 2

    Week 1 - Introduction - Constrained systems - The Dirac program

    • Tuesday, April 6 - Carlo Rovelli - Space and Time - Zoom link and schedule

    • Tuesday, April 6 - Carlo's slides

    • Tuesday, April 6 - Carlo's video

    • Tuesday, April 6 - Carlo Rovelli - Space and Time - Reference 1

    • Tuesday, April 6 - Carlo Rovelli - Space and Time - Reference 2 (p. 3 -23)

    • Tuesday, April 6 - Lee Smolin - Why Quantum Gravity? - Zoom link and schedule

    • Tuesday, April 6 - Recording of Lee's lecture

    • Tuesday, April 6 - Lee Smolin - Why Quantum Gravity? - Reference

    • Wednesday, April 7 - Tutorial 1 - Constrained systems and Yang-Mills theory

    • Wednesday, April 7 - Tutorial 1 - submission

    • Tutorial 1 - Solutions

    • Week 1 - lecture notes - Constrained systems and the Dirac program.

    • Thursday, April 8 - video 1 - constrained systems

    • Friday, April 9 - video 2 - the Dirac program

    • Week 1 feedback or questions?

  • 3

    Week 2 - First order formalism and canonical analysis of 3d gravity

    • Week 2 - Lecture notes - Actions for gravity - Canonical analysis of 3D gravity 1st order action - Holonomy-flux variables

    • Monday, April 12 - video 3 - First order formalism of 3d gravity

    • Tuesday, April 13 - video 4 - Canonical analysis and holonomy-flux variables

    • Wednesday, April 14 - Tutorial 2 - Symmetries/constraints - Toward the notion of fluxes

    • Wednesday, April 14 - tutorial 2 - submission

    • Wednesday, April 14 - tutorial 2 - solutions

    • Thursday, April 15 - Marc's slides

    • Thursday, April 15 - Recording of Marc's lecture

    • Thursday, April 15 - Marc Geiller - Covariant phase space formalism - Reference

    • Thursday, April 15 - Marc Geiller - Edge modes - Reference 1

    • Thursday, April 15 - Marc Geiller - Edge modes - Reference 2

    • Thursday, April 15 - Florian's slides

    • Thursday, April 15 - Recording of Florian's lecture

    • Thursday, April 15 - Florian Girelli - Discretization of 3d gravity - Reference

    • Friday, April 15 - Recording of the discussion on holography with Laurent

    • Week 2 feedback or questions?
  • 4

    Week 3 - Loop Quantum Gravity

    • Week 3 - Lecture Notes - LQG

    • Monday, April 19 - video 5 - The kinematical Hilbert space of 3D Loop Quantum Gravity

    • Tuesday, April 20 - video 6 - The physical Hilbert space of 3D LQG - Quick overview of the 4D case

    • Wednesday, April 21st - tutorial 3 - Length operator - Intertwiners - Holonomies

    • Wednesday, April 21 - tutorial 3 - Mathematica notebook

    • Wednesday, April 21st - tutorial 3 - submission

    • Wednesday, April 21st - tutorial 3 - solutions

    • Friday, April 23 - Mercedes Martin-Benito - Loop Quantum Cosmology - zoom link and schedule

    • Friday, April 23 - Mercedes Martin-Benito - Loop Quantum Cosmology - Reference 1

    • Friday, April 23 - Mercedes Martin-Benito - Loop Quantum Cosmology - Reference 2

    • Friday, April 23 - Mercedes's slides

    • Friday, April 23 - Recording of Mercedes's lecture

    • Friday, April 23 - Alejandro Perez - Black Holes in LQG - Zoom link and schedule

    • Friday, April 23 - Alejandro Perez - Black Holes in LQG - Reference 1

    • Friday, April 23 - Alejandro Perez - Black Holes in LQG - Reference 2

    • Week 3 feedback or questions?
  • 5

    Week 4 - Spinfoams

    • Monday, April 26 - video 7 - 3D Ponzano-Regge spinfoam model

    • Tuesday, April 27 - video 8 - 4D spinfoam models

    • Week 4 - lecture notes (draft) - Spinfoam models

    • Wednesday, April 28 - Alejandro Perez - BH - schedule and zoom link

    • Wednesday, April 28 - Alejandro's lecture - BH in LQG

    • Wednesday, April 28 - Alejandro's slides

    • Thursday, April 29 - Tutorial sessions on numerics in SF with Seth Asante - schedule and zoom links

    • Thursday, April 29 - Tutorial 4 - Numerics in SF

    • Thursday, April 29 - tutorial 4 - submission

    • Thursday, April 29 - Tutorial 4 - Solutions

    • Thursday, April 29 - Seth's slides

    • Friday, April 30 - Etera Livine - Ponzano-Regge spinfoam model - schedule and zoom link

    • Friday, April 30 - Etera's lecture

    • Friday, April 30 - Etera's slides

    • Friday, April 30 - Etera Livine - Ponzano-Regge spinfoam model - Reference 1

    • Friday, April 30 - Etera Livine - Ponzano-Regge spinfoam model - Reference 2

    • Friday, April 30 - Etera Livine - Ponzano-Regge spinfoam model - Reference 3

    • Friday, April 30 - Bianca Dittrich - SF and the renormalization group - schedule and zoom link

    • Friday, April 30 - Bianca's recording

    • Friday, April 30 - Bianca's slides

    • Friday, April 30 - Bianca Dittrich - SF and the renormalization group - Reference 1

    • Friday, April 30 - Bianca Dittrich - SF and the renormalization group - Reference 2

    • Week 4 feedback or questions?
  • 6

    Week 5 - Other approaches

    • Monday, May 3rd - Astrid Eichhorn - Asymptotic Safety - Reference

    • Monday, May 3 - Astrid's recording

    • Monday, May 3 - Astrid's slides

    • Monday, May 3 - S. Surya - Causal sets - Schedule and zoom link

    • Monday, May 3 - Sumati's recording

    • Monday, May 3rd - Sumati Surya - Causal Sets - List of references

    • Tuesday, May 4 - A. Bernamonti - Strings-AdS/CFT - Schedule and Zoom link

    • Alice's recording

    • Tuesday, May 4 - Alice's slides

    • Tuesday, May 4th - Alice Bernamonti - Strings - AdS/CFT - Reference

    • Tuesday, May 4 - R. Loll - CDT - Schedule and zoom link

    • Tuesday, May 4 - Renate's recording

    • Tuesday, May 4th - Renate's slides

    • Tuesday, May 4th - Renate Loll - Causal dynamical triangulations - Reference 1

    • Tuesday, May 4th- Renate Loll - Causal dynamical triangulations - References 2

    • Wednesday, May 5 - video 9 - Summary LQG & SF

    • Wednesday, May 5 - Tutorial 5

    • Thursday, May 6 - Panel discussion "The future of Quantum Gravity"
  • 7

    Homeworks

    • HW1 - 3 articles

    • HW1 - article 1

    • HW1 - Submission part 1 - April 14th

    • HW1 - article 2

    • HW1 - submission part 2 - April 22nd

    • HW1 - article 3

    • HW2 - Choose your favourite guest lecture and write a blog post!
  • 8

    References

    • Reference for constrained systems - Wipf ('93)

    • Reference for constrained systems and Dirac's program - Matschull ('95)

    • Bianca Dittrich's lecture notes (PSI 2014-15)

    • Canonical Analysis of gravity in the tetrad-connection formalism - Baros e Sa ('00)

    • BH entropy - Strominger ('97)

    • Tetrad/connection vs metric formulation - Paoli and Special ('18)

    • Review on spinfoam models - Perez ('12)