Cap-sets in $(F_q)^n$ and related problems

Cap-sets in (Fq)n(Fq)n and related problems - Zeev Dvir

Zeev Dvir
Princeton University; von Neumann Fellow, School of Mathematics
October 31, 2017
A cap set in $(F_q)^n$ is a set not containing a three term arithmetic progression. Last year, in a surprising breakthrough, Croot-Lev-Pach and a follow up paper of Ellenberg-Gijswijt showed that such sets have to be of size at most $c^n$ with $c