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.
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 Professor David Nadler for mentoring this seminar.