Jordi-Lluis Figueras: Existence of invariant tori in the large: from normally hyperbolic to lagrangian

Abstract:

Here I will talk about all the work we have been developing in the context of validating the existence of invariant tori in different systems: From skew products to twist maps, to hamiltonian systems, and with different normal dynamics, from hyperbolic to KAM. I will try to convince the audience the necessity of these tools and give some of the ideas behind them.