Abstract Jakob Scholbach

The Koszul duality between D-modules and Omega-modules

Abstract: Koszul duality between D-modules and Omega-modules (dg modules over the algebraic de Rham complex) has first been studied by Kapranov, and subsequently by various authors including Beilinson-Drinfeld and Positselski. In this talk, I will report on work in progress (joint with Dmitri Pavlov) on a refinement of Koszul duality. An application of this refinement is a presentation of the derived pushforward and pullback functors for D-modules which avoids the usual mixing of right and left adjoints.