# Seminar on Derived Algebraic Geometry

### Wednesday 4-5 pm, Room 232, Harvard Science Center

#### References

Main reference is [GR]: *A study in Derived Algebraic Geometry* by D. Gaitsgory and N. Rozenblyum, available here.

Compiled PDF (May 12 '16 version) is 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): Basic constructions of DAG (Lin Chen)

Chapter 1.2 of [GR]. Unfortunately no notes available.

- Talk 3 (Oct 25): Dmod(Gr) and local geometric Langlands, part 1 (David Yang)

Overview of local GL, motivation of Frenkel-Gaitsgory (math/0303173). Handwritten notes. Poster.

- Talk 4 (Nov 1): Dmod(Gr) and local geometric Langlands, part 2 (David Yang)

Finishing the proof of Frenkel-Gaitsgory. Handwritten notes.

- Talk 5 (Nov 8): Ind-coherent sheaves (Justin Campbell)

Definitions and basic properties of IndCoh. Notes from previous seminar.

- Talk 6 (Nov 15): Naive geometric Satake and factorization categories (Justin Campbell)

More details can be found in Jerusalem notes. Handwritten notes for the talk.

- Talk 7 (Dec 1): Master Chiral Algebra

Dennis' talk at MIT InfDim seminar. I'll upload handwritten notes later.

- Talk 8 (Dec 6): Derived Satake (Justin Campbell)

Handwritten notes for the talk.