Title: Moment Maps and Symplectic Reduction.

Abstract: Moment (or more accurately momentum) maps are a tool used to study Hamiltonian actions of Lie groups on symplectic manifolds and generalize the notions of linear and angular momentum in physical systems. Moment maps also appear in the construction of Symplectic quotients, as in the Marsden-Weinstein Theorem. One can think of this Symplectic quotient as a generalization of Noether's Principle, where continuous symmetries correspond to conserved quantities.