Mixing for three-term progressions in finite simple groups

Sarah Peluse

Answering a question of Gowers, Tao proved that any $A\times B\times C\subset S{L}_d({\mathbb{F}}_q{)}^3$ contains $|A||B||C|/|SL_d(\mathbb{F}_q)|+O_d(|SL_d(\mathbb{F}_q)|^2/q^{\min(d-1,…