The positive scalar curvature conjecture for closed aspherical manifolds

Let $M$ be a closed aspherical manifold, meaning that its higher homotopy groups satisfy $\pi_k(M)=0$ for all $k\ge2$. A positive scalar curvature metric is a Riemannian metric whose scalar curvature is everywhere positive. Chodosh's conjecture. No closed aspherical manifold admits a positive scalar curvature metric. This is a central obstruction conjecture in the study of positive scalar curvature and aspherical manifolds; the supplied text does not give evidence resolving it, so its status remains open.