The previous lecture in this series is here. The next lecture in this series is here.
Additive energy is a measure of additive structure. Prof. Zhao explains why a set with large additive energy must have a large subset of small doubling. The proof is graph theoretic and uses the dependent random choice method.
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.