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Dispersionless integrablity and twistor theory above dimension 4.

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TWT - Twistor theory

I will report on the on-going project with Omid Makhmali, where we describe the background geometry underlying integrable dispersionless systems of dimensions 5 and higher, where the symbol of the equation is necessary degenerate. In dimension 5 this turns out to be the parabolic geometry of type (A3,P13) both elliptic and hyperbolic in real case. Twistor theory however takes a turn from complex geometry to 2-nondegenerate CR structures. In higher dimensions parabolic background becomes exotic, and such cases can be classified. I will explain what the corresponding nonholonomic geometry is.

This talk is part of the Isaac Newton Institute Seminar Series series.

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