Twistor analysis of a parabola

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• Simon Salamon (King's College London; Politecnico di Torino)
• Tuesday 28 June 2016, 14:30-15:30
• Seminar Room 1, Newton Institute.

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GTAW01 - General relativity: from geometry to amplitudes

The Penrose twistor space CP^{3 can be used to parametrize orthogonal complex structures on domains of R}4. In particular, a complex quadric Q defines a natural complex structure on R^{4 minus a line. Quaternionic power series can then be lifted to holomorphic maps from Q to CP}3. Applying this to a quadratic polynomial allows one to understand the elementary geometry associated to a parabola and the circular cones in 3-dimensional space that contain it.

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

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