Abstract
The first lecture will give an overview over the problem of estimating the maximum possible size of a three-term progression free subset of F_p^n for a fixed prime p and large n, as well as over the analogous problem in {1,...,N}.
More specifically, the lecture will discuss the known bounds for these problems, and give a proof outline for recent lower bounds (obtained in joint work with Elsholtz, Hunter, and Proske).
