Time: 15:00-16:00, September 20

Venue: Lecture Hall

Abstract: I will report on joint work with Takuma Hayashi (Osaka University) on a general theory of D-modules over arbitrary base schemes. As a a motivation and an application, I will explain how to apply our results to the construction of Harish-Chandra modules over Z[1/2] with nice properties. This then implies the existence of global 1/2-integral structures on global spaces of automorphic cusp forms.