Last updated January 14, 1999
Geometry of Differential Equations: Cohomological Aspects
The course is continuation of the course by Joseph Krasil'shchik taken in the Spring semester. The participants are assumed to be acquainted with the basics in the geometry of differential equations, though the first lectures will include a short introduction. See also Symmetries and Conservation Laws for Equations of Mathematical Physics, Moscow, The Factorial Publ. House, 1997.
A course program

  1. Introduction

  2. Cohomological theory of symmetries and recursion operators

  3. Recursion operators and nonlocal theory

  4. Cohomological theory of conservation laws and Lagrangian formalism with constraints

  5. Horizontal cohomology of differential equations

Necessary material concerning homology theory will be considered on seminars.

Problems: tex source, PostScript, dvi

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