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

Name: Lecture 23: Structure of Set Addition III: Bogolyubov’s Lemma and the Geometry of Numbers
Uploaded: 2020-05-12T18:00:04Z
Duration: 1 h 18 min 6 s
Description: 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

1:18:06

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