Video Lectures

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

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: Yufei Zhao

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