Francis Valiquette
Symmetries in physics play an important role in our understanding of nature. Noether's theorem, which relates symmetries of a variational problem to first integrals of the associated Euler-Lagrange equations, is probably one of the best examples. The aim of this talk is to show how this theorem works in the framework of Lie point symmetries. I will start by explaining how to compute point symmetries of variational problems and see how those are related to the constants of motion of the Euler-Lagrange equation via Noether's theorem.
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