Description
Theory of D-modules is the (algebro-)geometric theory of linear partial
differential equations. Developed in the last quarter of the 20th century, it found many
(sometimes very unexpected) applications not only in the theory of differential equations,
but also in representation theory, algebraic geometry and algebraic topology. I will give a
very brief introduction to the theory of D-modules, with the view towards their use in the
study of Gelfand-Kapranov-Zelevinsky systems.