Yen Do (Yale University)
Title: Convergence of Fourier series and multilinear analysis

Abstract: Almost everywhere convergence of the Fourier series of square integrable
functions was first proved by Lennart Carleson in 1966, and the proof has lead to deep
developments in various multilinear settings. In this talk I would like to introduce a
brief history of the subject and sketch some recent developments, some of these
involve my joint works with collaborators.