Arithmetic regularity, removal, and progressions

Marston Morse Lectures
Topic:Arithmetic regularity, removal, and progressions
Speaker:Jacob Fox
Affiliation:Stanford University
Date:Tuesday, October 25
Time/Room:4:00pm - 5:00pm/S-101
Video Link:https://video.ias.edu/MarstonMorse/2016/1025-JacobFox

A celebrated theorem of Roth from 1953 shows that every dense set of integers contains a three-term arithmetic progression. This has been the starting point for the development of an enormous amount of beautiful mathematics. In this talk, I will discuss some shocking developments over the last few months on the bounds on some of the well-studied variants of Roth's theorem.