Talks
Spring 2017
Additive Structure of Sets of Fourier Coefficients
Tuesday, April 11th, 2017, 2:00 pm–3:00 pm
Event:
Speaker:
The collection of large Fourier coefficients of a function, whether they be called 'major arcs' or the 'large spectrum', are one way of representing the linearly structured component of a function, and as such plays an important role in many problems in additive combinatorics, analytic number theory, theoretical computer science, and beyond. In this talk I will discuss some results concerning what kind of additive structure such sets can have, and how this structure can be exploited to improve density increment arguments.
