## Singularity and comparison theorems for metrics with positive scalar curvature

Chao Li

Stanford University; Visitor, School of Mathematics

October 9, 2018

Following a program proposed by Gromov, we study metric singularities of positive scalar curvature of codimension two and three. In addition, we describe a comparison theorem for positive scalar curvature that is captured by polyhedra. Part of this talk is based on joint work with C. Mantoulidis.