王健 博士学术报告
Title: Topology of 3-manifold with uniformly positive scalar curvature (1 & 2)
Speaker: Dr. Jian WANG （王健）
Affiliation: Stony Brook University, U.S.
Time: 20:00-21:00, Tuesday, 11th October, 2022 (UTC+8, Beijing Time)
10:00-12:00, Thursday, 13th October, 2022 (UTC+8, Beijing Time)
Inviter: Jun WANG （王俊）
Venue: Room 1502, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing
（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Abstract
It is a classical question in differential geometry how to classify the topological structure of (complete) 3-manifolds with (uniformly) positive scalar curvature. For the closed case, Perelman used the so-called Ricci flow to give a full answer. However, the topological structure of open manifold is much complicated. In this talk, we will talk about a topological classification for complete 3-manifold with uniformly positive scalar curvature.
In the first talk, we recall some classical results for positive scalar curvature and then present how to use minimal surface to study the topology of 3-manifolds with positive scalar curvature.
In the second talk, we will introduce the so-called infinitely connected sum and use it to describe the topology of complete 3-manifold with uniformly positive scalar curvature.
About the Speaker
Dr. Jian Wang is currently a J. H. Simons Instructor at the Mathematics Department of the Stony Brook University.