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The seminar was devoted to studying the unfinished book by Beilinson and Drinfeld "Quantization of Hitchin's integrable system and Hecke Eigensheaves".

- Feb. 9: Overview (Dennis Gaitsgory, notes by Andrei Negut)
- Feb. 16: Affine Grassmannian-I: factorization, convolution, and fusion (Ryan Reich)
- Feb. 23: Affine Grassmannian-II: the Satake equivalence (Ryan Reich)
- March 2 and 9: Opers (Jonathan Barlev)
- March 23 and 30: Birth of Opers (Sam Raskin)
- April 6: Groups Acting on Categories (Andrei Negut)
- April 15: D-modules on ind-schemes (notes by Jonathan Barlev)
- April 20: Verification of the Hecke property (Andrei Negut)
- April 20, 27 and May 4: Introduction to Chiral Algebras (Nick Rozenblyum)
- May 4: Conformal blocks (Giorgia Fortuna)

- Sept. 8: The Introductory talk (Dennis Gaitsgory)
- Sept. 15: Stacks (Dennis Gaitsgory and Toly Preygel)
- Sept. 15-17: Stacks (Toly Preygel)
- Sept. 17: Bun(G) (Dennis Gaitsgory)
- Sept. 22: D-modules on stacks-I: tangent complex and cotangent space (Sam Raskin)
- Sept. 24: D-modules on stacks-II: equivariant and twisted D-modules (Sam Raskin)
- Oct. 1: Why Bun(G) is an algebraic stack (Nir Avni)
- Oct. 6: D-modules on stacks-III: equivariant and twisted D-modules (Sam Raskin)
- Oct. 13: Affine Grassmannian and the Loop group (Dennis Gaitsgory, notes by D.G. and N. Rozenblyum)
- Oct. 20: Hitchin map: global vs. local (Andrei Negut)
- Oct. 22: Global nilpotent cone and flatness of the Hitchin map (Xinwen Zhu)
- Oct. 27: Higgs bundles, Kostant section, and local triviality of G-bundles (Dennis Gaitsgory)
- Oct. 29 and Nov. 5: Higgs bundles and affine Springer fibers (Roman Bezrukavnikov)
- Nov. 3 and 10: Infinite-dimensional linear algebra, determinant line bundle and Kac-Moody extension (Dustin Clausen)
- Nov. 12: D-schemes, jets, and conformal blocks (Andrei Negut)
- Nov. 17 and 19: D-modules and D-schemes via crystals (Jacob Lurie)
- Dec. 3: Quantization, prelim. version (Dustin Clausen)
- Dec. 8: Classical vs. geometric Langlands (David Kazhdan, notes by Sam Raskin)

- "Methods of Homological Algebra" by S. Gelfand and Yu. Manin
- The same thing as a .djvu
- Lectures by A. Beilinson
- Lectures notes by D. Milicic

- Introduction and appendices to "DG quotients of DG categories" by V. Drinfeld
- Section 1 of "DG guide to Voevodsky's motives" by A. Beilinson and V. Vologodsky

- Joseph Bernstein's lectures on D-modules
- Sasha Braverman's lectures on D-modules
- Notes from Roman Bezrukavnikov's course at MIT
- Notes of a course by V. Ginzburg at U of C
- Notes of a course by D. Milicic
- "Algebraic D-modules" by A. Borel et al.
- "D-modules, Perverse Sheaves, and Representation theory", by R. Hotta, K. Takeuchi and T. Tanisaki

- A transcript of Beilinson's paper "How to glue perverse sheaves"
- Notes on "How to glue perverse sheaves" by Ryan Reich
- Sam Lichtenstein's senior thesis on vanishing cycles and "How to glue perverse sheaves"
- arXiv/0810.1504, by A. Beilinson and D.G.
- "A proof of Jantzen conjectures" by A. Beilinson and J. Bernstein, Sect. 4.1-4.2

- "Sheaves on Manifolds" by M. Kashiwara and P. Shapira
- "Sheaves in Topology" by A. Dimca (.pdf is available)
- Notes by L. Nicolaescu

See also:

- Section III.8 in "Methods of Homological algebra" by S. Gelfand and Yu. Manin
- Background section from "Equivariant sheaves and functors" by J. Bernstein and V. Luntz, LNM 1578

- "Etale cohomology" by J. Milne
- Lecture notes by J. Milne
- "Etale cohomology and Weil conjectures" by E. Freitag and R. Kiehl

- SGA 4.5, Arcata
- "Weil conjectures, perverse sheaves and l'adic Fourier transform" by R. Kiehl and R. Wiessauer, Chapter 2 and Appendix
- "La conjecture de Weil-II", D. Deligne, Sect. 1.1

- "Faisceaux pervers", a.k.a. [BBD], by A. Beilinson, J. Bernstein and P. Deligne
- "Weil conjectures, perverse sheaves and l'adic Fourier transform" by R. Kiehl and R. Wiessauer, Chapter 3

- Section 4 of "Irreducibility of the space of curves of given genus" by P. Deligne and D. Mumford
- "Champs Algebriques" by G. Laumon and L. Moret-Bailly
- TBL's minor thesis
- A. Vistoli's article
- Book in progress by multiple authors

- "Structure of representations that are generated by vectors of higher weight"
- "A certain category of g-modules"

- Volume 6 of "Generalized functions" by Gelfand, Graev and Piatetskii-Shapiro.