Basic Theory of Algebraic D-Modules (Fall 2016)
This mini-course was based on the first three chapters of the book D-Modules, Perverse Sheaves, and Representation Theory by R. Hotta, K. Takeuchi, and T. Tanisaki. (This book is available free and legally through SpringerLink with a UIC account.) These chapters cover the basic definitions and operations on D_X-modules, where X is a smooth scheme of pure dimension over an algebraically closed field k of characteristic zero.
Our goal was to cover the proofs of Kashiwara's theorem and the Bernstein inequality. (Update: we also covered the proof of preservation of holonomy.)
Notes from the mini-course