Category: Seminar

Notes (last updated Aug 10 ’22) Notes on Koszul Duality

Wednesdays 5-6:30 pm, Harvard Science Center Location: Room 232 until March 20, Room 116 March 27 – May?, April 3 undecided Weekly Schedule Week 1, Yuchen Fu: Overview notes Week 2 and 3, Waqar Ali: Smooth representation and character theory, Hecke algebra notes Week 4 and 5, Mikayel Mkrtchyan: Cuspidal Representations notes (rest of the notes missing)

Harvard Science Center, Room 232, Thursdays 4:30 – 6:00 PM David Yang: Introduction (Feb 6th) Jianqiao Xia: Category O, Part 1 (Feb 13th) Robert Burklund: Category O, Part 2 (Feb 25th) (at this point 2020 happened, so seminar came to a halt.)

Tuesdays 4 – 5:30 pm, Harvard Science Center, Room 232 Weekly Schedule Week 1, David Yang: Overview (notes) Week 2, Elden Elmanto: Geometric Satake Equivalence (notes, the paper, Xinwen’s notes, some notes from 2009) Week 3, Jianqiao Xia: Central Sheaves via Nearby Cycles (the paper) Week 4, Lin Chen: Perverse Sheaves on Affine Flag Variety (notes, the paper, aka… Continue reading LSG Fall ’19

Thursdays 4:30-6 pm, Harvard Science Center Room 530 We will focus on the following two papers by Dima and Dennis:“Singular support of coherent sheaves, and the geometric Langlands conjecture” (link)“The category of singularities as a crystal and global Springer fibers” (link)Plan of the semester can be found here. Weekly Schedule Week 1, Yifei Zhao: Overview (notes)… Continue reading LSG Fall ’18

Monday 12-2 pm, Room 232, Harvard Science Center Weekly Schedule Talk 1 (Feb 9): Degeneration of Whittaker to regular opers, or how to take \kappa \to \infty (Yifei Zhao) (Note) Talk 2 (Feb 23): Introduction to Wakimoto modules (David Yang) (Note) Talk 3 (Feb 26): Local Langlands, the spherical case, 1/2 (Lin Chen) (Anyone got… Continue reading LSG Spring ’18

Wednesday 4-5 pm, Room 232, Harvard Science Center References Main reference is A study in Derived Algebraic Geometry by D. Gaitsgory and N. Rozenblyum, available here.Additional references and notes can be found on the IndCoh’16 seminar page. Weekly Schedule Talk 1 (Oct 11): Review of (infty, 1)-categories (Yuchen Fu)Mostly chapter 1.1 of [GR]. Handwritten notes. Talk 2 (Oct 18):… Continue reading LSG Fall ’17