Shedule -

Séminaire Bourbaki du vendredi

EXPOSÉ ANNULÉ ET REPORTÉ Sarah Peluse — An introduction to Gowers norms

Institut Henri Poincaré
amphi. Darboux
11 rue Pierre-et-Marie-Curie, 75005 Paris

In this talk, I will define the Gowers uniformity norms, discuss the role they play in Gowers's proof of Szemerédi's theorem, and state a couple of versions of the inverse theorem for these norms, including the "local" version used in Gowers's proof. As a warm-up for thinking about the inverse theory of the Gowers norms, I will also present a proof of the "99% inverse theorem", which concerns a model case of the inverse problem.