The APDE seminar on Monday, 10/27, will be given by Beomjong Kwak (KAIST) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PDT. To participate, please email Adam Black (adamblack@berkeley.edu).

Title: Global well-posedness of the cubic nonlinear Schrödinger equation on T^2

Abstract: In this talk, we present the global well-posedness for the cubic nonlinear Schrödinger equation for periodic initial data in the mass-critical dimension d=2 for large initial data in H^s, s>0. The result is based on a new inverse Strichartz inequality, which is proved by using incidence geometry and additive combinatorics, such as the inverse theorem for the Gowers uniformity norms by Green-Tao-Ziegler. This is based on joint works with Sebastian Herr.