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The Calderon problem for connections

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  • UserMihajlo Cekic, Cambridge
  • ClockWednesday 10 May 2017, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

We will consider the problem of identifying a unitary connection \nabla on a vector bundle, up to gauge equivalence, from the Dirichlet-to-Neumann map of the connection Laplacian \nabla^*\nabla. One possible approach is through the construction of special Complex Geometric Optics solutions and a further reduction of the problem to an X-ray transform. We will also consider another approach in the Yang-Mills connections setting, based on picking a special gauge in which the Yang-Mills equations become elliptic and using a unique continuation principle for elliptic systems for identification near the boundary.

This talk is part of the Differential Geometry and Topology Seminar series.

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