G_2 geometry and twistor theory
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If you have a question about this talk, please contact Professor Maciej Dunajski.
The threedimensional 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 selfintersection 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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