Advanced 5-day course
Geometric aspects of conservation laws of nonlinear differential equations
August 20-24, 2001, Opava, Czech Republic,
Lecturer: Alexander Verbovetsky


Program of the course

  1. Introduction
  2. Infinite jet spaces and nonlinear differential equations
  3. Calculus of fields and forms over infinite prolongations
  4. Conservation laws and horizontal cohomology
  5. Vinogradov's C-spectral sequence on jets and differential equations
  6. Geometric methods in Lagrangian formalism
  7. Conservation laws and symmetries: Noether theorems, Hamiltonian structures of evolution differential equations
Lecture