3 problems

Critical-norm global well-posedness and scattering conjecture. Under these assumptions, global well-posedness and scattering should hold under a priori control of the critical norm…

Scattering-threshold conjecture. The quantity $\|Q\|_{L^2}$ is the scattering threshold for the focusing equation.

Mass-threshold conjecture. The quantity $M(Q)$ is the minimal mass obstruction to global well-posedness and scattering in the focusing case, and no such obstruction exists in the d…