Collapse to the Orbifolds and Stability of Inverse Problems.
Wed, September 22, 2010 11:00AM - 12:00PM
| Time: | 11:00AM - 12:00PM |
| Location: | Simons Auditorium |
| Speakers: | Yaroslav Kurylev, Yaroslav Kurylev |
| Abstract: | 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. |