In-Person Talk 

*Please note the location*

A well-known question posed by S.T. Yau is how to classify  3-manifolds admitting a complete metric with (uniformly) positive scalar curvature up to diffeomorphism. It was resolved by G.Perelman for closed $3$-manifolds. However, the non-compact case is complicated. In this talk, I will give a complete topological characterization for complete open $3$-manifolds with uniformly positive scalar curvature. Furthermore, we will talk about its generalization for $3$-manifolds with boundaries.