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SUMMARY:Killing tensors on complex projective space - Michael  Eastwood (U
 niversity of Adelaide)
DTSTART:20240909T090000Z
DTEND:20240909T100000Z
UID:TALK219547@talks.cam.ac.uk
DESCRIPTION:The Killing tensors on the round sphere are well understood. I
 n particular\, thanks to the methods of parabolic geometry\, the space of 
 Killing tensors with some fixed rank is an irreducible representation of t
 he appropriate special linear group acting on the sphere by projective sym
 metries. What about the corresponding story for complex projective space w
 ith its Fubini-Study metric? Although this is seemingly not a parabolic ge
 ometry in any useful way\, one can still muddle through. Even here\, some 
 serious puzzles remain! Concerning Killing tensors on quaternionic project
 ive space\, twistor theory suggests an evident path to follow but I don't 
 know where it leads. This talk will explain some known results and is\, ot
 herwise\, a plea for help!
LOCATION:Seminar Room 1\, Newton Institute
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