# Fabio Pusateri (University of Toronto)

Date

Friday March 11, 20222:30 pm - 3:30 pm

Location

Online (via Zoom)## Math & Stats Department Colloquium

**Friday, March 11th, 2022**

**Time:** 2:30 p.m. **Place:** Online (via Zoom)

**Speaker:** Fabio Pusateri (University of Toronto)

**Title:** Some recent results on PDEs with potentials and the stability of kinks

**Abstract:** This talk will be an overview of some recent results on nonlinear evolution equations with large potentials, and applications to the stability of kinks, as well as to the phenomenon of ``radiation damping". Our approach to this class of problems is based on the use of the Fourier transform adapted to the Schrodinger operator, and the development of multilinear harmonic analysis in this setting.

**Fabio Pusateri** is an Assistant Professor in Department of Mathematics at the University of Toronto. His main research interests are analysis of nonlinear PDEs, dispersive and wave equations, fluid dynamics, harmonic analysis, and hamiltonian dynamics. He receives many awards, including Coxeter-James prize (2022), the Antonio Ambrosetti Medal (2021), and the ISAAC award (2019).