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SUMMARY:The transport Oka-Grauert principle for simple surfaces - Jan Bohr
 \, Cambridge
DTSTART:20211013T150000Z
DTEND:20211013T160000Z
UID:TALK162262@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:In inverse problems\, a typical question asks to characterise 
 the range of the underlying `forward map'. I will address this question fo
 r a class of nonlinear inverse problems on simple Riemannian surfaces and 
 describe a novel range characterisation that is reminiscent of the Ward co
 rrespondence 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 holo
 morphic vector bundles on certain complex surfaces\, resembling the classi
 cal Oka-Grauert theorem. [Joint work with Gabriel Paternain\, arXiv:2108.0
 5125]
LOCATION:MR13
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