Speaker：Yizheng Fan (Anhui University)

Time：2025-6-28 9:00

Location：Conference Room C610 at Administration Building at Haiyun Campus

Abstract:

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.