The previous lecture in this series is here. The next lecture in this series is here.
This lecture concludes the proof of Freiman’s theorem on sets of small doubling. Prof. Zhao also discusses additional topics related to Freiman’s theorem, including extensions to groups (abelian and non-abelian), and the polynomial Freiman-Ruzsa conjecture, which is a central open problem in additive combinatorics.
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.