Harmonic maps into G2/SO(4) and their twistor lifts

Martin Svensson
(University of Southern Denmark)
AaDAG seminar
Friday, 31 March, 2017, at 14:00-15:00, in Aud. G1 (1532-116)
Burstall and Rawnsley have shown how the canonically fibered flag manifolds sit inside the twistor space of a compact, simply connected inner Riemannian symmetric space. It is known that a harmonic map from a surface into an inner Riemannian symmetric space of classical type has a twistor lift into such a flag manifold if and only if it is nilconformal in the sense that its derivative is nilpotent. In this talk, I will show that this result can be generalised to harmonic maps into the exceptional inner symmetric space G_2/SO(4). I will describe the structure of the canonically fibered flag manifolds over this space and the construction of the twistor lifts of nilconformal harmonic maps. I will also show how almost complex maps into S^6 can be used to construct harmonic maps into G_2/SO(4). The talk will be based on joint work with John C. Wood. 
Organised by: QGM
Contact person: Thomas Bruun Madsen