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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Killing tensors on complex projective space - Mich
 ael  Eastwood (University of Adelaide)
DTSTART;TZID=Europe/London:20240909T100000
DTEND;TZID=Europe/London:20240909T110000
UID:TALK219547AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/219547
DESCRIPTION:The Killing tensors on the round sphere are well u
 nderstood. In particular\, thanks to the methods o
 f parabolic geometry\, the space of Killing tensor
 s with some fixed rank is an irreducible represent
 ation of the appropriate special linear group acti
 ng on the sphere by projective symmetries. What ab
 out the corresponding story for complex projective
  space with its Fubini-Study metric? Although this
  is seemingly not a parabolic geometry in any usef
 ul way\, one can still muddle through. Even here\,
  some serious puzzles remain! Concerning Killing t
 ensors on quaternionic projective space\, twistor 
 theory suggests an evident path to follow but I do
 n't know where it leads. This talk will explain so
 me known results and is\, otherwise\, a plea for h
 elp!
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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