@Article{CAM-18-14, author = {}, title = {【暑期学校】国家天元数学中部中心几何分析系列讲座}, journal = {CAM-Net Digest}, year = {2021}, volume = {18}, number = {14}, pages = {5--5}, abstract = {

国家天元数学中部中心几何分析系列讲座(一)

【讲座说明】

举办日期：2021年07月22/24/27/29/31日；08月03日 09:00-10:00
举办地点：线上课程（腾讯会议）
会议ID： 327 7860 8823
授课讲师：Prof. Zhongmin Shen (Indiana University-Purdue University Indianapolis)

【ABSTRACT】

Riemannian metrics are regular metrics with quadratic restriction. Riemannian geometry has been studied by many mathematicians around the world. However it is necessary to study manifolds with a non-quadratic metric. In some cases, volume form is an independent geometric structure. So we should study metrics and measures together . In this series of talks, the following topics will be covered.
1. Finsler spaces, Hypersurfaces in a Finsler space. Gradient of Functions, Co-Area Formula
2. Isoperimetric Inequalities
3. Geodesics, Geodesic Fields, Riemann curvature, Ricci curvature and S-curvature
4. Finsler metrics of constant flag curvature and constant Ricci curvature
5. Variation of Length, T-curvature, Jacobi Fields
6. Basic Comparison Theorems
7. Hessian and Laplacian, Normal and Mean Curvature
8. Estimates under Curvature Bounds
9. Bishop-Gromov Volume Comparison Theorem
10.Applications of Bishop-Gromov comparison theorem
11.Morse theory and Loop Space
12.Weighted Ricci Curvature
13.Estimates under Weighted Ricci Curvature Bounds

【报名流程及联系人】

1、报名申请: https://tmcc.whu.edu.cn/info/1206/1671.htm
2、报名截止日期为2021年07月20日
联系人：杨老师电话：16602740903 Email: tmcc@whu.edu.cn

国家天元数学中部中心几何分析系列讲座(二)

【讲座说明】

举办日期：2021年08月27日-31日 09:00-11:00
举办地点：线上课程（腾讯会议）
会议ID：964 5023 3278
授课讲师：Prof. Peng Lu (University of Oregon)

【ABSTRACT】

Assuming some famility with parabolic equations, we will present several techniques used in current research, while sacrificing the detailed discussion of some standard Ricci flow knowledge.

【报名流程及联系人】

1、报名申请: https://tmcc.whu.edu.cn/info/1206/1682.htm
2、报名截止日期为2021年08月25日
联系人：杨老师电话：16602740903 Email: tmcc@whu.edu.cn

国家天元数学中部中心几何分析系列讲座(三)

【讲座说明】

举办日期：2021年08月27日-31日 15:00-17:00
举办地点：线上课程（腾讯会议）
会议ID：964 5023 3278

授课讲师：Prof. Dr. Guofang Wang (Albert-Ludwigs-University Freiburg)

【ABSTRACT】

In these lectures, we will talk about isoperimetric type geometric inequalities, which I was and am interested in. Such an inequality establishes a relationship between two geometric quantities and is optimal in the sense that equality holds for a class of nice geometric objects. I will talk about the background and motivation, establish necessary analytic tools and prove these inequalities.

【报名流程及联系人】

1、报名申请: https://tmcc.whu.edu.cn/info/1206/1681.htm
2、报名截止日期为2021年08月25日
联系人：杨老师电话：16602740903 Email: tmcc@whu.edu.cn

}, issn = {}, doi = {https://doi.org/2021-CAM-19625}, url = {https://global-sci.com/article/75199/%E3%80%90%E6%9A%91%E6%9C%9F%E5%AD%A6%E6%A0%A1%E3%80%91%E5%9B%BD%E5%AE%B6%E5%A4%A9%E5%85%83%E6%95%B0%E5%AD%A6%E4%B8%AD%E9%83%A8%E4%B8%AD%E5%BF%83%E5%87%A0%E4%BD%95%E5%88%86%E6%9E%90%E7%B3%BB%E5%88%97%E8%AE%B2%E5%BA%A7} }