Last updated February 3, 2003 |

- Manifolds and bundles of finite order jets.
- Cartan distribution and its integral manifolds.
- Automorphisms of the Cartan distribution. Lie-Baecklund theorem.
- Differential equations as submanifolds of jet manifolds.
- Classical symmetries.
- Examples of computations and applications of classical symmetries.

- Manifolds and bundles of infinite jets. Infinitely prolonged equations.
- Calculus on infinite jets.
- Connections and the Cartan distribution on infinite jets. Integral manifolds.
- Higher symmetries.
- C-differential operators.
- Horizontal cohomology and conservation laws.

- Coverings in the category of differential equations.
- Wahlquist-Estabrook algebras.
- Nonlocal symmetries.
- Baecklund transformations. Bianchi formulas.
- Differential fundamental group.

Questions and suggestions should go to J. S. Krasil'shchik, josephk @ diffiety.ac.ru.