Time and Location: Every Thursday at 2:00 pm in Evans 961 during the Spring 2024 semester.
Contact info:
alangoldfarb [AT] berkeley [DOT] edu
shreepranav_varma [AT] berkeley [DOT] edu
Below is the reading material for the seminar. This page will be updated as the semester progresses.
The best reference in my opinion is Several Complex Variables with Connections to Algebraic Geometry and Lie Groups - Chapter 16.
If you have trouble accessing the above, this note is a very similar presentation.
Section 6.5 of these notes from a course taught at the University of Toronto provides a nice introductory perspective to the Borel-Weil theorem.
An abridged proof of Borel-Weil-Bott written by Jacob Lurie.
Introductory notes on D-modules and Beilinson-Bernstein - Chapters 1-4 (3 is not strictly necessary).
The first few sections of these lecture notes from a course taught at Stony Brook give motivation for the definition of D-modules.
Sections 3-9 of these notes cover Beilinson-Bernstein localization and the prerequisite material.
Bernstein's notes on D-modules might also be a helpful reference.
Representations of Semisimple Lie Algebras in the BGG Category O is a standard refrence on this topic.
Some notes on chapters 1-3 of the above book.
Helpful notes from The Automorphic Project.
Thanks to David Nadler for mentoring this seminar.