Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Vendredi 22 Mai 2015
Heure 15:00
Institut LPTENS
Salle 235A, 29 Rue d'Ulm
Nom de l'orateur Costin
Prenom de l'orateur Ovidiu
Addresse email de l'orateur
Institution de l'orateur
Titre Resurgence, transseries and applications in Quantum Mechanics and Dynamical Systems
Résumé I will give an introduction to transseries, resurgence and generalized Borel summability, from the point of view of Ecalle's theory, and their extension to PDEs. I will also make the connection to hyperasymptotics sometimes alternatively used in QFT and QCD and outline recent progresses. As an application, I will discuss nonperturbative ionization of Hydrogen atoms in periodic external fields and for which the survival probability has the surprising power law decay t^(-5/3). I will also speak about the detailed structure of Julia sets, as viewed using transseries.
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