Symmetries and Noether's Theorem 97 years on

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• Elizabeth Mansfield (University of Kent)
• Monday 27 April 2015, 17:10-17:50
• MR2, CMS.

If you have a question about this talk, please contact Eoin Devane.

Emmy Noether published her paper on Conservation Laws for variational problems in 1918. Her relatively short paper gives the complete, computational result yielding a conservation law for every Lie group symmetry of a Lagrangian, as well as additional results where the symmetry is that of a Lie pseudogroup. In this talk, I will show results from two lines of research. One is using the new technology of Lie group based moving frames to rewrite the laws in terms of invariants and an equivariant map, that is, a moving frame. These results can be used to ease the integration problem of the Euler Lagrange equations in the examples. Another line of research is that of the a priori embedding of Noether’s laws into numerical schemes, such as those for energy, linear and angular momenta and potential vorticity, which indeed turns out to be possible in a certain sense. The talk features joint work with Tânia Gonçalves (Goiás, Brazil) and Tristan Pryer (Reading, UK).

This talk is part of the Cambridge SIAM Chapter series.

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