THE CALDERN PROBLEM FOR SCHRDINGER OPERATORS

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• Tzou, L (Stockholm University)
• Wednesday 07 May 2014, 15:15-16:15
• Seminar Room 2, Newton Institute Gatehouse.

If you have a question about this talk, please contact Mustapha Amrani.

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The problem of determining the electrical conductivity of a body by making voltage and current measurements on the object’s surface has various applications in elds such as oil exploration and early detection of malignant breast tumour. This classical problem posed by Calderon remained open until the late ‘80s when it was nally solved in a breakthrough paper by Sylvester-Uhlmann. In the recent years, geometry has played an important role in this problem. The unex- pected connection of this subject to elds such as dynamical systems, symplectic geometry, and Riemannian geometry has led to some interesting progress. This talk will be an overview of some of the recent results and an outline of the techniques used to treat this problem. The work described here is partially supported by NSF Grant No. DMS 0807502, Acad emy of Finland Fellowship 256378, Vetenskapsradet 2012-3782

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

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