报告人: 陈立志 (兰州大学)
日 期: 2019年10月18日
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。
学院联系人:周恒宇
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