Calderon problem for Yang-Mills connections

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• Mihajlo Cekić (DPMMS)
• Friday 27 January 2017, 15:00-16:00
• MR13.

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We will consider the problem of identifying the connection up to gauge equivalence from the associated Dirichlet-to-Neumann map in the case of Yang-Mills connections. I will sketch the proof in the smooth case for line bundles. The approach is 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. Along the way, I will try to explain how pseudodifferential operator symbol calculus plays its role in the proof.

This talk is part of the Junior Geometry Seminar series.

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