PuMaGraSS (Pure Math Graduate Student Seminar )
Fourier analysis and beyond
I will talk about combinatorial applications of Fourier analysis, starting with the insight of Roth on arithmetic progressions, followed by the so-called Higher-order Fourier analysis by Sir Timothy Gowers, and finally, time-permitting, recent developments by Green and Tao motivated by applications to prime numbers. (There are three Fields Medalists mentioned in this abstract, and possibly one more forthcoming.)
77 Massachusetts Ave.
Cambridge, MA 02139