Convex Functions and Additive Structure
29th March 2022, 11:00 am – 12:00 pm
Fry Building, 2.04
It is a widely accepted philosophy in additive combinatorics that convex sets ought not to exhibit much additive structure. We could measure this by estimating the sizes of their sumsets. In this talk, we will hopefully move from the philosophical to the concrete, by giving ways to see that convex sets and functions have poor additive structure. We will also discuss some recent developments in the area.