Differential Geometry Seminar: Killing tensors on complex projective space

The Killing tensors on the round sphere are well understood. In particular, these are finite-dimensional vector spaces with very nice formulae for their dimensions.

What about the corresponding story for complex projective space? Again, these are finite-dimensional spaces and their dimensions can be computed. Formulae for their dimensions, however, are simultaneously nice but seriously puzzling! If time permits: what about quaternionic projective space and so on? Some of this was discussed in my TOPS series last September but I’ll start again from scratch and, in particular, explain what are Killing tensors and why they are useful.

Tagged in Differential Geometry Seminars, Seminar