Unique and 2:2 Games, Grassmannians, and Expansion

The unique games conjecture gives a very strong PCP theorem, which, if true, leads to a clean understanding of a broad family of approximation problems. We will describe recent progress on the conjecture and how certain type of expansion and hypercontractivity of the Grassmannian complex plays a key role.



Weizmann Institute of Science; Visiting Professor, School of Mathematics