Lecture Courses
Courses at MPI-MiS and TU Chemnitz
Courses at MPI-MiS and TU Chemnitz
A Computational Introduction to the Theory of D-Modules - Fall 2023 - The theory of D-modules is the algebraic theory of systems of linear PDEs. We will discuss the Weyl algebra, and learn how to view PDEs as ideals in this algebra. We will learn about regular holonomic systems and computational techniques to solve them. Our main example will be that of A-hypergeometric systems. If time, we will discuss b-functions, integration of D-modules, and restriction of D-modules.