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Metric structure and uniformly positive scalar curvature

发布日期:2023-07-13点击数:

报告人:Bo Zhu(Texas A&M University)

时间:2023年7月19日,21日,24日,26日 09:00--

地点:数统学院LD402


摘要:In this (8hrs) mini-course, we will delve into the fascinating realm of positive scalar curvature in Riemannian manifolds. It is assumed that all participants possess a basic understanding of Riemannian manifold concepts.

Part I: Exploring the interplay of geometry and curvature bounds.

In this section, we will captivate the audience by introducing classical topics that demonstrate the intricate relationship between geometry and curvature bounds.


Part II: Minimal surface techniques in the study of positive scalar curvature.

We will delve into the realm of minimal surface techniques and their application in the study of positive scalar curvature on Riemannian manifolds.


Part III: Introducing metric structure and its relations with uniformly positive scalar curvature
In the final part, we will introduce the metric structure on Riemannian manifolds and explore its connections with uniformly positive scalar curvature.


简介:朱波博士于2022年博士毕业于明尼苏达大学数学系, 主要专注研究黎曼流形上正数量曲率以及相关的几何问题。文章发表在Crelle等著名杂志上。目前,在德州农工做访问助理教授。


联系人:太阳成集团数学研究中心


欢迎广大师生积极参与!



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