Alexander Verbovetsky's Introductory lectures on the Geometry of Differential Equations

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Spring 2012 (continuation of Joseph Krasil'shchik's lectures)

Short syllabus

  • The Vinogradov spectral sequence
  • Conservation laws
  • Lagrangian formalism. Noether's theorem
  • Tangent and cotangent coverings over equations
  • Schouten bracket and Hamiltonian structures. Bi-Hamiltonian equations

Video records of the lectures

Via http://ium.mccme.ru/IUM-video.html

  • Lecture 8 (2 May 2012) is missing

Recommended literature