06.11.2024, 14:00 - 16:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Graphon Models for Inhomogeneous Random Graphs
Olga Klopp (Paris), Nicolas Verzelen (Montpellier)
Francesco Tudisco (Saarland University)
This introductory talk will focus on the eigenvalues and eigenfunctions of the graph p-Laplacian. We shall discuss two definitions of the eigenpairs that come as a natural generalization of the linear case and that allow further generalizations. Then we describe the basis of the index theory for non-linear functionals leading to the variational characterization of a set of eigenvalues of the p-Laplacian. Finally we mention some nodal properties of the eigenfunctions associated to the variational eigenvalues, pointing out few important open questions.