Lecture 23: Structure of Set Addition III: Bogolyubov’s Lemma and the Geometry of Numbers

Om kurset

Description: Professor Zhao discusses additional tools for proving Freiman’s theorem: (1) Bogolyubov’s lemma for finding a large Bohr set in 2A−2A, whose proof uses Fourier analysis, and (2) the geometry of numbers, with an application of Minkowski’s second theorem on lattices. Instructor: Prof. Yufei Zhao