Conserved quantities and symplectic reduction: counting possibilities in classical mechanics

Dr Jeremy Butterfield, Oxford

I shall discuss two topics in finite-dimensional Hamiltonian mechanics, which relate to the general idea of exploiting a symmetry so as to reduce the number of variables needed to treat a problem. The first is Noether's ``first theorem'' relating continuous symmetries and conserved quantities. The second topic is the modern theory of symplectic reduction.

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