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.