A Poisson summation formula for conic manifolds
Jared Wunsch
S.U.N.Y. at Stony Brook
Wednesday, February 27
2:30-3:30 pm, Room 4422
Let $X$ be a Riemannian manifold with conic singularities. I will discuss
the singular behavior of solutions to the wave equation on $X$, and in
particular the ``diffractive'' nature of wave propagation through cone
points. This information can be used to obtain a very weak generalization
of the Poisson summation formula for conic manifolds, in this case a bound
for the locations of singularities of $\sum \cos t\sqrt \lambda_j$ where
$\lambda_j$ are the eigenvalues of the Laplacian on $X$.