D-modules on prestacks

15 May 2014
This talk will be an introduction to the notion of D-modules on prestacks. We will begin by discussing Grothendieck's definition of crystals of quasi-coherent sheaves on a smooth scheme X, and briefly indicate how the category of such objects is equivalent to that of modules over the sheaf of differential operators on X. We will then explain what we mean by a prestack and define the category of quasi-coherent sheaves on them. Finally, we consider how the crystalline approach may be used to give a suitable generalization of D-modules to this derived setting.
  • Representation Theory Seminar