Instructor: Stefan Dawydiak
Meeting times: Mondays 10:00– 12:00
Meeting location: MI 1.007.
Seminar outline: here
Perverse sheaves are an important tool in geometric representation theory and related areas. The goal of the seminar is for students to obtain enough working knowledge of the simplest case (constructible sheaves of complex vector spaces on complex varieties with the analytic topology) so as to be able to read further topics and then papers. Concretely, the tentative aim is to cover the first three chapters of our main reference, Achar's Perverse sheaves and applications to representation theory, available online via bonnus at this link.
Depending on participant background, we may be able to cover slightly more or slightly less than this.
Additional helpful references are Kashiwara-Schapira's Sheaves on manifolds, Hotta-Takeuchi-Tanisaki's D-modules, perverse sheaves, and representation theory, Arapura's Algebraic geometry over the complex numbers, Riche's notes On Kazhdan-Lusztig theory, and of course, Beilinson-Bernstein-Deligne-Gabber's Faisceaux pervers.
Announcements and information abou the seminar will be posted here and probably nowhere else; please check this page regularly.
A helpful preview of (more than) what we will cover is Williamson's An illustrated guide to perverse sheaves. There are videos on Youtube of the lectures these notes are based on.
Announcements:
Lecture notes: