Scalar curvature and the dihedral rigidity conjecture
De Chao Li
In 2013, Gromov proposed a geometric comparison theorem for metrics with nonnegative scalar curvature, formulated in terms of the dihedral rigidity phenomenon for Riemannian polyhedrons. In this talk, I will discuss recent progress towards this conjecture, and its connection to other rigidity/almost rigidity questions in scalar curvature.