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Systolic volume and triangulation complexity of 3-manifolds

发布日期:2019-10-08点击数:

报告人: 陈立志 (兰州大学)


日  期: 2019年1018


时  间: 13:00


地  点: 理科楼 LD202


摘  要: In this talk, we present the following result: the systolic volume of a closed aspherical 3-manifold is bounded below in terms of complexity. Systolic volume is the optimal constant in a systolic inequality. Gromov showed that the systolic volume is related to some topological invariants measuring complicatedness. In dimension three, complexity defined in terms of triangulation is a natural tool to evaluate topological complicatedness. Both systolic volume and complexity are important topological invariants, but the understanding of them is very poor. The work introduced in this talk is a new development to the research of these two invariants.


报告人简介陈立志博士,本科毕业于兰州大学数学系,博士毕业于Oklahoma State University, 研究方向为三维流形的几何与拓扑。


公司联系人:周恒宇


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