QLunch: Larry Read

Speaker: Larry Read, LMU

Title: Concentration of eigenfunctions on singular Riemannian manifolds

Abstract: I will introduce Weyl asymptotics for the Laplace-Beltrami operator on a class of compact Riemannian manifolds with boundary, where the metric is singular at the boundary. In joint work with Charlotte Dietze, we establish a profile for the concentration of high-energy eigenfunctions near the boundary. While the model is intrinsically quantum, our motivation comes from the study of gas giants.