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The introductory workshop will cover the large variety of topics of the semester: weak KAM theory, Mather theory, Hamilton-Jacobi equations, integrable systems and integrable planar billiards, instability formation for nearly integrable systems, celestial mechanics, billiards, spectral rigidity, Astrodynamics, motion of satellites, Plasma Physics, Accelerator Physics, Theoretical Chemistry, and Atomic Physics. The workshop will consist of approximately eighteen lectures to introduce the main topics relevant to the semester. That will leave time for discussions and exchange between the participants.