Quantum cosmology as automorphic dynamics
Victor Godet
SISSA
Lundi 17/06/2024, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
I will explain how some recent progress on the Wheeler-DeWitt equation makes possible the systematic development of quantum cosmology in the canonical formulation. The cosmological wavefunctions are automorphic forms, and the Wheeler-DeWitt equation reduces to a dynamical equation on moduli space, so that quantum cosmology is equivalent to "automorphic dynamics". I will describe in detail this equivalence in the simple context of pure three-dimensional gravity and comment on how these ideas should generalize to higher dimensions and to our universe.


Contact : Vincent PASQUIER

 

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