报告题目:The spectra of covering simplicial complexes
报 告 人:范益政 教授 (安徽大学)
报告时间:2024年11月5日 (星期二)19:30-20:30
报告地点:腾讯会议(线上) 会议ID:726-634-474
校内联系人:毛建玺 副教授 联系方式:84708351-8604
报告摘要:In this talk I will introduce some basic notions on simplicial complex, its covering and Laplacian operator defined on simplicial complex. By the representation of permutation group and incidence-signed complex, we give a decomposition of the Laplacian operator of the covering complex in terms of the Laplacian operator of the underlying complex and other matrix forms. We prove the Laplacian spectrum of a 2-fold covering complex is the union of the Laplacian spectrum of the underlying complex and that of an incidence-signed complex, which generalized a known result on the adjacency spectrum of simple graph coverings
报告人简介:范益政,男,教授,博士,博士生导师,教育部新世纪优秀人才,安徽省学术和技术带头人,中国数学会常务理事,安徽省数学会副理事长,安徽大学数学科学学院院长。主要研究领域为代数图论和代数组合等。主持1项国家自然科学基金重点项目,完成4项国家自然科学基金项目、以及教育部博士点基金、安徽省杰出青年科学基金等项目。在Tran AMS, Proc AMS, J Combin Theory Ser A, J Algebra Combin, SIAM J Matrix Anal等发表论文100余篇