** Research Seminar on the Method of Equivalence**

**June 1 - 4, 1992 **

**Speakers:**

William F. Shadwick (University of Waterloo)

Robert B. Gardner (University of North Carolina)

A Series of Four Seminars led by R. B. Gardner and W. F. Shadwick to
introduce researchers in control theory and geometric mechanics to E.
Cartan's method of equivalence. The preparation assumed of the participants
is a working knowledge of exterior algebras, manifolds, principal fiber
bundles and Lie groups. Topics will include:

1. Ordinary differential equations, symmetries and Lie pseudogroups.

2. The equivalence problem of E. Cartan, illustrated by control
systems and mechanical systems.

3. Lifting, princial components, Lie algebra compatible absorption,
reduction of structure groups.

4. Involutive systems and prolongation, ouline of solutions to
problems to illustrative problems.