Date:
23 October 2023 - 28 November 2023 on Mondays from 13:00 - 14:00 at MPI MiS
5 December 2023 onwards on Mondays from 13:30 - 15:00 at TU Chemnitz (also Zoom, email me for the link)
Prerequisites: Basic knowledge of rings and ideals is necessary. A student should ideally have taken an introductory ring theory course. Knowledge of Groebner bases in the commutative algebra setting would be helpful but not necessary.
Abstract: 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.