The main topics:
Jet bundles. Infinite jets. Geometrical structures.
Differential equations. Infinite prolongations. Geometrical structures.
Linearisations. Symmetries.
Conservation laws. Adjoint operators. Cosymmetries.
The Vinogradov spectral sequence.
Nonlocal geometry of PDEs. Differential coverings.
Integrable structures: Hamiltonian, symplectic, and recursion operators.