Topology of complete $3$-manifolds with uniformly positive scalar curvature
Date:
Thursday, 13 July, 2023 - 10:30 - 12:00
Venue:
https://cuhk.zoom.us/j/95988240027 (Passcode is six numbers: five-four-nine-seven-zero-eight)
Seminar Type:
Seminar
Speaker Name:
Dr. Jian WANG
Affiliation:
Stony Brook
Abstract:
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. See https://arxiv.org/abs/2212.14383.
Poster:
