Abstract: We will present a collection of conjectures
formulated with Gromov and other members of our IAS Emerging Topics
Working Group on the limits of sequences of Riemannian manifolds with
uniform lower bounds on their scalar curvature. We will survey
results in special cases and present key theorems concerning volume
preserving intrinsic flat convergence that have been applied to prove
these special cases. For a complete list of papers about intrinsic
flat convergence see
here.