Lower bounds for the first Dirichlet eigenvalue in wedge domains.
Jesse Ratzkin University College Cork, Ireland
The classical Faber-Krahn inequality compares the first Dirichlet eigenvalue of the Laplacian for a bounded domain to that of a ball.
I will discuss similar bounds for domains contained in wedges, both in Euclidean space and the sphere. If time allows, I will also discuss an application to Brownian pursuit. This is joint work with Andrejs Treibergs.