The Calderon problem for connections
- đ¤ Speaker: Mihajlo Cekic, Cambridge
- đ Date & Time: Wednesday 10 May 2017, 16:00 - 17:00
- đ Venue: MR13
Abstract
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.
Series This talk is part of the Differential Geometry and Topology Seminar series.
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Mihajlo Cekic, Cambridge
Wednesday 10 May 2017, 16:00-17:00