Highlighted lecture 2 - Stability of Inverse Problems and related Topics from Differential Geometry
Seminar Room 1, Newton Institute
This talk (joint with M. Lassas and T. Yamaguchi) deals with the problem of stabilisation of anisotropic inverse spectral problem. We treat such problems as inverse problems on an unknown Riemannian manifold and formulate conditions for stability in terms of geometric constaints. Analysing the influence of these constraints, we obtain a wider class of objects than Riemannian manifolds, namely orbifolds. We then consider the relation between the stability of inverse problems on manifolds and uniqueness of the inverse problems on the orbifolds.