Last updated January 15, 2002
Integrability and symmetries of differential equations
Space of jets and DE.
The Cartan distribution and its curvature.
Symbol system and the Spencer cohomology.
Obstructions to (formal) integrability of DE.
Examples of computations.
Geometric structures and curvatures.
Intermediate integrals and symmetries
The theory of classical symmetries and its applications (invariant solutions, reproduction of solutions, factorization).
Higher symmetries, their computations. Examples.