An introduction to D-module theory

by Prof. Pierre Schapira (Sorbonne University, France)

Wednesday 1 Oct 2025, 15:00 → 16:00 Europe/Kiev

IM/2-208 (IM)

I will first explain why a system of linear equations on a ring A is nothing but a finitely presented A-module M.

Then I will study the sheaf of rings D_X of holomorphic differential operators on a complex manifold X. I will formulate the Cauchy problem in this setting and generailze the classical Cauchy-Kowalevska theorem to D_X-modules, following Kashiwara’s thesis.

Finally, I will have a glance to hyperfunction solutions of D_X-modules.

KyivAb.pdf