G_2 geometry and twistor theory

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• Maciej Dunajski (DAMTP)
• Tuesday 12 October 2010, 16:00-17:00
• DAMTP, room MR11.

If you have a question about this talk, please contact Professor Maciej Dunajski.

The three-dimensional space of plane parabolas y=ax^2+bx+c admits a natural conformal structure: Two points are null separated if the corresponding parabolas are tangent. I shall demonstrate how Riemannian conformal structures in seven dimensions with G_2 structure group arise onmoduli spaces of rational curves with self-intersection number six, or on solution spaces of certain 7th order ODEs.

This talk is part of the Mathematical Physics Seminar series.

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