HET seminar: Oleg Evning

Speaker: Oleg Evning

Title: Weak fields and effective integrability in AdS

I will start with a bit of general review of the AdS stability program
exploring the elaborate nonlinear dynamics of small perturbations in
Anti-de Sitter spacetime. The main mathematical tool for these
investigations is nonlinear perturbation theory based on application
of the time-averaging method. I will then focus on a specific simple
realization of this setup (conformally coupled self-interacting probe
scalar in AdS), for which the resulting effective time-averaged
dynamics displays remarkable features connecting to the "cubic Szegő
equation" (actively studied in the current math literature) and
suggestive of integrability. I'll also mention connections to weakly
nonlinear dynamics of trapped Bose-Einstein condensates.