Abstract: The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold. An alternative partition, based on the gradient field of the eigenfunction, is via the so called Neumann domains. A Neumann domain of an eigenfunction is a connected component of the intersection between the stable manifold of a certain minimum and the unstable manifold of a certain maximum. We introduce this subject, discuss various properties of Neumann domains and point out the similarities and differences between nodal domains and Neumann domains. The talk is based on joint works with Sebastian Egger, David Fajman and Alexander Taylor.
Thu, 06/06/2019 - 14:30 to 15:30
Manchester Building (Hall 2), Hebrew University Jerusalem