Orateur
Peter Perry
(University of Kentucky)
Description
This talk concerns joint work with Adrian Nachman and Daniel Tataru on global well-posedness for two completely integrable, nonlinear dispersive equations in two space dimensions. We'll begin by pointing out some important differences between inverse scattering for equations in 2+1 dimensions as opposed to 1+1 dimensions. We will then describe how inverse scattering techniques combine with nonlinear harmonic analysis of the scattering operator to produce the global well-posedness result. The paper is available at https://arxiv.org/pdf/2511.21564.