Champs, cordes et gravité - Marc Henneaux

Marc Henneaux
Collège de France
Champs, cordes et gravité
Année 2024-2025
Gravité quantique et équation de Wheeler-DeWitt

Séminaire : AI in Math and Theoretical Physics: Status and Prospects

Intervenant(s)

Michael Douglas
CMSA, Harvard University

Résumé

AI progress is accelerating, and now the leaders expect "artificial general intelligence" (AGI) in 2 to 3 years. While difficult to believe, we must prepare for the possibility. We can take some lessons from previous episodes in which computers surpassed humans, for example in chess. We survey current trends in AI for math and discuss conceptual studies of mathematical copilots and systems for autonomous mathematical discovery. These seem likely to me to become truly useful in the next few years.

Marc Henneaux
Collège de France
Champs, cordes et gravité
Année 2024-2025
Gravité quantique et équation de Wheeler-DeWitt

07 - Gravité quantique et équation de Wheeler-DeWitt : L'équation de Wheeler-DeWitt pour les espaces asymptotiquement anti-de Sitter

Marc Henneaux
Collège de France
Champs, cordes et gravité
Année 2024-2025
Gravité quantique et équation de Wheeler-DeWitt

Séminaire - Dionysios Anninos : Cosmological 'Ising' Models

Intervenant(s)

Dionysios Anninos
King's College, Londres

Résumé

We discuss the role simplified controllable models may play in sharpening and solving questions in quantum cosmology. Some focus will be placed on lower dimensional models. Relevant literature includes 2406.15271, 2106.01665, 2403.16166.

Marc Henneaux
Collège de France
Champs, cordes et gravité
Année 2024-2025
Gravité quantique et équation de Wheeler-DeWitt

06 - Gravité quantique et équation de Wheeler-DeWitt : L'équation de Wheeler-DeWitt pour les espaces asymptotiquement plats

Marc Henneaux
Collège de France
Champs, cordes et gravité
Année 2024-2025
Gravité quantique et équation de Wheeler-DeWitt

Séminaire - Nele Callebaut : Radial canonical AdS3 gravity and TTbar theory

Intervenant(s)

Nele Callebaut
Université de Cologne

Résumé

In this talk, I will employ an ADM deparametrization strategy to discuss the radial canonical formalism for asymptotically AdS gravity in three dimensions. It leads to the identification of a radial 'time' before quantization, namely the volume time, which is canonically conjugate to York time. Holographically, this allows to interpret the semi-classical partition function of TTbar theory as a Schrodinger wavefunctional satisfying a Schrodinger evolution equation in volume time. The canonical perspective can be used to construct, from the Wheeler-DeWitt equation, the BTZ solution and corresponding semi-classical Wheeler-DeWitt states.