17-21 August 1998, Levoca, Slovakia

Lecturers: Joseph Krasil'shchik and Alexander Verbovetsky

The course is aimed to mathematicians and theoretical physicists on post-doctoral level, working in differential equations, mathematical physics, and differential geometry.

Participants are supposed to be familiar with basic concepts of classical analysis, differential manifolds, and tensor calculus.

- Introduction
- Differential calculus over commutative algebras
- Geometry of jets and nonlinear differential equations
- Symmetries
- Coverings and nonlocal symmetries
- Froelicher-Nijenhuis brackets and algebras with flat connections
- Deformations of differential equations
- Recursion operators
- C-differential calculus
- Generalities of homological algebra. Spectral sequences
- Horizontal cohomology of differential equations
- Algebraic model for Lagrangian formalism
- Compatibility complex
- Vinogradov's C-spectral sequence of jet bundles and differential equations
- Calculus of variations over infinite prolongations
- Conservation laws
- Noether theorems
- Hamiltonian methods for evolution differential equations
- Differential super-equations
- Antifield-BRST formalism

Organizer:

Open Education and Sciences

Dr. Roman Strzondala

P. O. Box 84

746 20 Opava 1, Czech Republic

E-mail: Roman.Strzondala@fpf.slu.cz