The transport Oka-Grauert principle for simple surfaces

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• Jan Bohr, Cambridge
• Wednesday 13 October 2021, 16:00-17:00
• MR13.

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

In inverse problems, a typical question asks to characterise the range of the underlying `forward map’. I will address this question for a class of nonlinear inverse problems on simple Riemannian surfaces and describe a novel range characterisation that is reminiscent of the Ward correspondence for anti-self-dual Yang-Mills fields, but without solitonic degrees of freedom. The range characterisation turns out to be equivalent, via a novel twistor correspondence, to a non-existence theorem for holomorphic vector bundles on certain complex surfaces, resembling the classical Oka-Grauert theorem. [Joint work with Gabriel Paternain, arXiv:2108.05125]

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

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