The previous lecture in this series is here. The next lecture in this series is here.
Prof. Zhao discusses additional tools for proving Freiman’s theorem: (1) Bogolyubov’s lemma for finding a large Bohr set in 2A−2A, and (2) the geometry of numbers, with an application of Minkowski’s second theorem on lattices.
These videos are of a lecture course by Yufei Zhao at the Massachusetts Institute of Technology in 2019, and made available as part of its OpenCourseWare initiative. The website for the course may be found here.