On a universal conservation law in dynamics (Nguyen Tien Zung, Toulouse)

12.03.2019 15:30

In this talk, I want to explain the following conservation law and its applications (reduction and normalization of dynamical systems, action-angle variables, etc.):

Anything which is conserved by a dynamical system is also conserved by its associated torus actions.

Here, "anything" means any tensor field, or any subbundle of a natural bundle, or any differential operator, etc. Examples include (pre)symplectic, Poisson, Dirac, contact structures, etc. The dynamical system in question may be classical or stochastic or quantum, and not necessarily integrable. The usefulness of this law is based on the fact that dynamical systems admit naturally associated torus actions, even if we don't see them.

Lieu

Bâtiment: Villa Battelle

Séminaire "Groupes de Lie et espaces des modules"

entrée libre