Systolic inequality and conformally flat tori
发布人: 曹思圆   发布时间: 2021-12-11   浏览次数: 10

*时间:2021年12月13日13:00

*地点:腾讯会议ID:265786611

*主讲人:刘宇航 博士后(北京大学)

*主持人:刘博 教授


*讲座内容简介:

The systole of a Riemannian manifold refers to the length of the shortest non contractile loop. In 1949, Loewner showed that the square of the systole of a 2-torus is bounded from above by its area. In the past decades many mathematicians have studied systolic geometry for various manifolds, including Gromov's famous work on filling radius and systoles. In this talk I will review some major work in this field, and state a result concerning multiple closed geodesic in conformally flat tori.


*主讲人简介:

刘宇航,2014年获复旦大学理学学士学位,2019年获宾夕法尼亚大学数学博士学位。2019年至今在北京国际数学中心任博士后。研究方向:微分几何,几何拓扑。对正曲率流形、李群理论与群作用、闭测地线等相关问题感兴趣。曾获第一届、第二届阿里巴巴全球数学竞赛优秀奖。