Abstract
When a singularity of a solution to the wave equation on a riemannian
manifold reaches a point of conic
singularity of the metric, it undergoes a mixture of dispersive and
geometric propagation first described
by Kalka-Menikoff and Cheeger-Taylor. New notions of boundary
wavefront set permit a simpler, more
conceptual approach to the problem, and associated positive commutator
methods broaden the class of
manifolds on which we can work. This is joint work with Richard
Melrose.