Seminar on Discrete Mathematics: The spectra of covering simplicial complexes

：范益政（安徽大学）
：2025-06-28 08:00
：海韵园行政楼C610

报告人：范益政（安徽大学）

时  间：2025年6月28日8:00

地  点：海韵园行政楼C610

内容摘要:

In this talk I will introduce some basic notions on simplicial complexes, including coverings and Laplacian operators. By the representation of permutation groups and incidence-signed complexes, we give a decomposition of the Laplacian operator of a 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 generalizes a known result on the spectra of simple graphs.

个人简介：

范益政，安徽大学教授、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。主要研究方向为代数组合与代数图论，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等。在Tran. AMS, Proc. AMS, J Combin. Theory Ser A, J Algebra Combin.等期刊发表论文100余篇。

 

联系人：张美乔