Events: detail
London G & T seminar: Orthogonal complex structures on domains of R4
- Hosted by:
- Imperial College London, Kings College London and Queen Mary University of London
- Speaker:
-
Simon Salamon, Turin
- Starts:
- March 23, 2007 at 01:30 pm
- Ends:
- March 23, 2007 at 02:30 pm
- Location:
- Imperial College London, Huxley Building, Room 140, Exhibition Road, London, SW7 2DD United Kingdom
- Maps:
Description
Abstract: Let J be a complex structure on an open set of R^4^ or S^4^, which is compatible with the standard conformal structure. The graph of J can be interpreted as a hypersurface of the twistor space CP^3^ of S^4^. We shall use this correspondence to show that most algebraic orthogonal complex structures J are defined on S^4^ minus at least a 3-dimensional subset K. A classification of quadrics under the action of the conformal group leads to examples in which K is a solid torus, or one pinched at two points. This is joint work with Jeff Viaclovsky.
- Registration required:
- No
- Free:
- Yes
Additional information
There is one more G&T seminar this term. Next week David Eisenbud (MSRI & Berkeley) will talk.
More information, maps, abstracts, etc, at www.ma.ic.ac.uk/geometry/seminar.html
