Marc Henneaux
Collège de France
Champs, cordes et gravité
Année 2024-2025
Gravité quantique et équation de Wheeler-DeWitt
Séminaire - Victor Godet : Quantum cosmology as automorphic dynamics
Intervenant(s)
Victor Godet
Jussieu
Résumé
I will discuss the canonical quantization of quantum cosmology on toroidal universes. The wavefunctions are automorphic forms, and the Wheeler-DeWitt equation reduces to a dynamical equation on moduli space, so quantum cosmology can be viewed as "automorphic dynamics". This perspective offers new insights into the Hartle-Hawking state and hints at intriguing connections to number theory.