|Location:||MSRI: Simons Auditorium|
We consider the IP of the reconstruction of a Riemannian
manifold from its spectral data (say heat kernel) on some subset of this
manifold. The a priori conditions on the class of manifolds may allow for
their one-dimensional collapse giving rise to Riemannian orbifolds. We
consider IP on orbifolds and then stability of the IP on the original
class of Riemannian manifolds.