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This workshop, held at the Centre International de Rencontres Mathématiques (CIRM), will contain the main themes of Tudor Ratiu´s work: (1) Symplectic and Poisson geometry (2) Hamiltonian reduction (3) Mechanical systems with symmetry (4) Riemannian geometry and relativity (5) Fluids, elasticity, and infinite dimensional mechanics (6) Geometric control theory (7) Integrable systems (8) Lie theory The common thread running throughout is the use of geometric methods which serve to unify these diverse disciplines and help bring a wide variety of scientists and mathematicians together, speaking a language which encourages cross-fertilization. Tudor Ratiu is a unique figure in this regard as his work has significantly influenced distinctly separate communities of mathematicians, physicists, and engineers?The workshop will bring together the world's leading figures in each of these theme areas who will give invited lectures.
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