Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > BIMSA-BIT Differential Geometry Seminar Contractible 3-manifolds and Positive scalar curvature I
Contractible 3-manifolds and Positive scalar curvature I
Organizers
Kotaro Kawai , Chao Qian
Speaker
Jian Wang
Time
Wednesday, June 12, 2024 3:00 PM - 5:00 PM
Venue
北京理工大学 中关村校区,研究生楼106
Online
Zoom 435 529 7909 (BIMSA)
Abstract
In this lecture, we will study contractible 3-manifolds and its relationship with positive scalar curvature. For example, Whitehead manifold is a contractible 3-manifold, but not homomorphic to 3-dimensional Euclidean space. We will give a proof that Whitehead manifold does not have a a complete metric with positive scalar curvature.

Lecture 1: We will focus on the construction of contractible 3-manifold and its topological properties. Particularly, we will describe the topology at infinity of contractible 3-manifolds and its relationship with knot theory.

Lecture 2: We will study the existence of positive scalar curvature metric on contractible 3-manifold. Especially, we will talk about how positive scalar curvature effects the topology at infinity.
Beijing Institute of Mathematical Sciences and Applications
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