G_2 geometry and twistor theory
- đ¤ Speaker: Maciej Dunajski (DAMTP)
- đ Date & Time: Tuesday 12 October 2010, 16:00 - 17:00
- đ Venue: DAMTP, room MR11
Abstract
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.
Series This talk is part of the Mathematical Physics Seminar series.
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Maciej Dunajski (DAMTP)
Tuesday 12 October 2010, 16:00-17:00