Department of Mathematics
Title : Separation of Variables and Moduli Spaces of Stable Curves
| Speaker: Konrad Schoebel Affiliation: Jena Time: 9am Wednesday, 3 April, 2013 Location: 303-412 |
Abstract
| Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We explicitly describe the projective variety of integrable Killing tensors on the 3-sphere and relate its algebraic geometric properties to the differential geometric properties of the corresponding Killing tensors. This leads to an isomorphism between the moduli space of separation coordinates on the n-sphere and a well known object in algebraic geometry: the moduli space of stable curves of genus zero with n+2 marked points. |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
