EVENT DETAILS AND ABSTRACT

Title: Crystalline Differential Operators
Speaker: Professor Ivan Mirkovic
Speaker Info: University of Massachusetts, Amherst
Brief Description:
Special Note: Note unusual time
Abstract:

This is a work with Dmitriy Rumynin and Roman Bezrukavnikov. On an algebraic variety in positive characteristic there is a number of incarnations of differential operators. ``Crystalline'' version is algebraically the closest to the situation in characteristic zero since the ring is generated by functions and vector fields (no divided powers of vector fields). In this setting there is an analogue of the Beilinson-Bernstein localization of representations of a semisimple Lie algebra, to modules for the sheaf of differential operators on its flag variety.