REPRESENTATION
THEORY AND RELATED TOPICS SEMINAR
Ted Stadnik
ABSTRACT: In this introductory talk, I will define the ring of crystalline differential operators in positive characteristic and other positive characteristic nomenclature. I will discuss the Azumaya algebra property of this ring, and the relationship of D-modules to coherent sheaves. I'll finish by describing some work of Bezrukavnikov, Mirkovic, and Rumynin relating differential operators to representations of Lie algebras over finite fields.
For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html or contact Alex Martsinkovsky alexmart >at< neu >dot< edu