Long time justification of wave turbulence theory

Speaker: Yu Deng

Abstract: We talk about recent works with Zaher Hani (Michigan), in which we justify the
predictions of wave turbulence theory, including derivation of wave kinetic equation
(WKE), on arbitrarily long time intervals that cover the full lifespan of the WKE. The proof
consists of the idea of layering and the introduction of new combinatorial structures
which we call canonical layered objects. We also discuss possible applications in other