Speaker: Dong ZHANG （Max-Planck Institute for Mathematics in the Sciences, Leipzig）

Time： March 02, 16:00-17:00

Place： 385-544-473  Passcode：202202

Title： Some progresses on spectra of discrete structures

Abstract： Simplicial complexes, graphs and hypergraphs are typical discrete structures that can be studied by employing methods in spectral theory. In this talk, I will present some recent developments on spectra of discrete structures. This includes new results on maximal gap intervals for the graph Laplacian; a refined analysis of the variational and non-variational eigenvalues of the graph p-Laplacian; the nonlinear spectral duality for convex and homogeneous function pairs, and its applications to hypergraph p-Laplacians, and Cheeger inequalities on simplicial complexes.