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