By Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Zung,Eva Miranda,Vladimir Matveev
Based on lectures given at a sophisticated direction on integrable structures on the Centre de Recerca Matemàtica in Barcelona, those lecture notes deal with 3 significant features of integrable structures: obstructions to integrability from differential Galois idea; the outline of singularities of integrable structures at the foundation in their relation to bi-Hamiltonian structures; and the generalization of integrable structures to the non-Hamiltonian settings. All 3 sections have been written by way of most sensible specialists of their respective fields.
Native to genuine problem-solving demanding situations in mechanics, the subject of integrable platforms is at present on the crossroads of numerous disciplines in natural and utilized arithmetic, and likewise has very important interactions with physics. The learn of integrable structures additionally actively employs tools from differential geometry. furthermore, this can be very vital in symplectic geometry and Hamiltonian dynamics, and has powerful correlations with mathematical physics, Lie concept and algebraic geometry (including reflect symmetry). As such, the publication will attract specialists with a variety of backgrounds.
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Additional resources for Geometry and Dynamics of Integrable Systems (Advanced Courses in Mathematics - CRM Barcelona)
Geometry and Dynamics of Integrable Systems (Advanced Courses in Mathematics - CRM Barcelona) by Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Zung,Eva Miranda,Vladimir Matveev