Killing tensors on complex projective space

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• Michael Eastwood (University of Adelaide)
• Monday 09 September 2024, 10:00-11:00
• Seminar Room 1, Newton Institute.

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TWTW01 - Twistors in Geometry & Physics

The Killing tensors on the round sphere are well understood. In particular, thanks to the methods of parabolic geometry, the space of Killing tensors with some fixed rank is an irreducible representation of the appropriate special linear group acting on the sphere by projective symmetries. What about the corresponding story for complex projective space with its Fubini-Study metric? Although this is seemingly not a parabolic geometry in any useful way, one can still muddle through. Even here, some serious puzzles remain! Concerning Killing tensors on quaternionic projective 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, otherwise, a plea for help!

This talk is part of the Isaac Newton Institute Seminar Series series.

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