We revisit the proof of global well-posedness and scattering for the defocusing energy-critical NLS in three space dimensions in light of recent developments. This result was obtained previously by Colliander, Keel, Staffilani, Takaoka, and Tao.
"Global well-posedness and scattering for the defocusing quintic NLS in three dimensions." Anal. PDE 5 (4) 855 - 885, 2012. https://doi.org/10.2140/apde.2012.5.855