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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.