Seminar| Institute of Mathematical Sciences
Time：Tuesday, August 16th, 2022, 14:00-15:00
Location：R408, IMS; Tecent Meeting
Speaker: Jian Wang, Stony Brook University
Abstract: A celebrated problem posed by Yau is how to classify (complete) 3-manifolds with (uniformly) positive scalar curvature. It has been resolved by G.Perelman for the closed case. In this talk, we use minimal surface theory, instead of Ricci flow, to characterize the topological structure of open 3-manifolds which admit complete metrics with uniformly positive scalar curvature. Precisely, we show an oriented complete 3-manifold with uniformly positive scalar curvature is homeomorphic to a (possibly infinite) connected sum of spherical 3-manifolds and some copies of $S^1\times S^2$.
Room Number: 949-778-551