报告人：任世全（广东海洋大学）

报告（一）

报告题目：Simplicial Objects, Homology Groups, and Homotopy Groups.

报告摘要： In this talk, we review the definitions of Delta sets and simplicial sets as well as their homology groups. We discuss the geometric realizations of Delta sets and simplicial sets. As a particular case, we discuss the homology groups of simplicial complexes. Moreover, we review the definitions of simplicial groups as well as their homotopy groups. We discuss the properties of the homotopy groups of simplicial groups.  

报告时间：2018年12月28日（星期五）下午2:00-5:00

报告地点：科技楼南楼713

报告（二）

报告题目：Graded Subsets of Delta Sets and Their Embedded Homology

报告摘要：In this talk, we discuss graded subsets of Delta sets and define their embedded homology groups. As applications, we discuss the embedded homology of hypergraphs and the path homology of digraphs, which are examples of the embedded homology of graded subsets of Delta sets.

报告时间：2018年12月29日（星期六）下午2:00-5:00

报告地点：科技楼南楼713

报告（三）

报告题目：applications of persistent homology

报告摘要：In this talk, we discuss some applications of persistent homology. We discuss the persistent embedded homology of hypergraphs and the Mayer-Vietoris sequence. We discuss the applications of persistent homology in social networks, fluid mechanics, and analysis of protein structures.

报告时间：2018年12月30日（星期日）下午2:00-5:00

报告地点：科技楼南楼713