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SUMMARY:Twistor analysis of a parabola - Simon Salamon (King's College Lon
 don\; Politecnico di Torino)
DTSTART:20160628T133000Z
DTEND:20160628T143000Z
UID:TALK66607@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The Penrose twistor space CP^3 can be used to parametrize orth
 ogonal complex structures on domains of R^4. In particular\, a complex qua
 dric Q defines a natural complex structure&nbsp\;on R^4 minus a line. Quat
 ernionic power series&nbsp\;can then be lifted to holomorphic maps from Q 
 to CP^3. Applying this to a quadratic polynomial allows one to&nbsp\;under
 stand the elementary geometry associated to a parabola and the circular co
 nes in 3-dimensional space that contain it.
LOCATION:Seminar Room 1\, Newton Institute
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