Топологічний семінар Інституту математики НАН України
An introduction to D-module theory
by
→
Europe/Kiev
IM/2-208 (IM)
IM/2-208
IM
50
Description
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.