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Inverse spectral problems with sparse data and applications to passive imaging and Calderón-type problems

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GSTW03 - Interactions of geometric spectral theory with numerical methods and applications

We discuss recent results on inverse spectral problems with sparse data on closed Riemannian manifolds. We then present two applications of these results. First, we show generic uniqueness results for inverse problems for evolutionary PDEs with a single passive measurement. Second, we present uniqueness results for an analogue of the anisotropic Calderón problem for fractional Schrödinger operators on closed manifolds. This talk is based on joint works with Ali Feizmohammadi and Gunther Uhlmann.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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Queen's Building Lecture Theatre, Emmanuel College, University of Cambridge, St Andrew's Street, Cambridge First Floor Seminar Room, Zoology Building Museum of Archaeology & Anthropology, Downing Street

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