Dynamics of non-Archimedean Polish groups and dissociation

My talk aim to present our joint work with Matthieu Joseph and Remi Barritault on the actions of non-Archimedean Polish groups. I will first present the notion of dissociation for probability measure-preserving actions, which allows us generalize so-called de Finetti theorems. Then, I will outline the model-theoretical conditions that we know imply dissociation and discuss how they may be improved.