Singularities in symplectic and contact spaces (MAGIC070)
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Caustics and wave fronts of optic rays were studied since 17th century. However only recently the general theory of singularities of projections of submanifolds in symplectic and contact spaces related the properties of optical caustics and wave fronts with other problems in differential equations, geometry, mathematical physics, variational problems. This theory which is mainly due to V.Arnold is based on the deep relations of critical points of functions with invariants of Lie algebras, Hamiltonian mechanics, algebraic topology and differential geometry.
This area serves also as a corner stone of modern symplectic and contact topology.
Autumn 2010 (Monday, October 4 to Friday, December 17)
General courses in real and complex calculus, diferential geometry
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