Orateur
Maxim Kontsevich
(IHÉS)
Description
Classical mechanics in first-order formalism, is determined by a Hamiltonian (possibly time-dependent) and two boundary conditions at the ends of the time interval, i.e. two Lagrangian subvarieties. I will describe certain data which fixes ambiguities in the formal perturbation theory of the corresponding path integral near complex classical trajectories. Also, I propose a conjecture concerning the resurgence of the path integral.