16 May 2002
Cathrine V. Jensen "Algebra of ODEs".
Viewing ODEs as D-modules provides us with an algebraic framework that includes tensorproducts, homomorphisms
and hence (invariant) metric structures etc.
We shall discuss the basic algebraic ideas, and investigate the correspondence between the modules and geometric
realizations as sub-bundles in jet-spaces. We shall see examples of equations with (algebraic)
structures; symplectic, metric , that provide us with invariants on solutions of the equation.