Spring Semester 2019
Main source:
- Gaitsgory–Rozenblyum’s A study in Derived Algebraic Geometry I and II.
Sources (for Dg schemes, Gromov Witten Invariants and Virtual Fundamental classes):
- Cox, Sheldon; Mirror Symmetry and Algebraic Geometry (Chapter 7).
- Ciocan-Fontanine, Kapranov; Virtual fundamental classes via dg-manifolds.
- Ciocan-Fontanine, Kapranov; Derived Quot Schemes.
- Toen; Derived Algebraic Geometry.
- Kock, Vainsencher; An invitation to Quantum Cohomology.
| Topic | Date | Speaker |
|---|---|---|
| 1. Intro + reminders of Higher Category/Algebra (I.1) | 20.03.19 | Quoc |
| 2.1 Derived algebraic geometry (I.2) | 10.4.19 | Quoc |
| 2.2 Derived algebraic geometry (I.2) Part II | 17.04.19 | Quoc |
| 3.1 Dg Schemes (Gromov-Witten Invariants and Virtual Fundamental Class) | 26.04.19 | Tanya |
| 3.2 Dg Schemes II (Virtual Fundamental Class via dg Schemes) | 09.05.19 | Tanya |
| 4.1 dg-Affine schemes and Quasi-coherent sheaves on prestacks (I.3) | 22.05.19 | Penghui |
| 4.2 Special Guest Lecture: Higher Intrinsic Normal Cone | 22.05.19 | Dhyan Aranha |
| 5. Grothendieck Riemann-Roch in Higher categories | 29.05.19 | Penghui |
| 6. Correspondences + Duality (I.5) | TBA | Iordan |
| 7. QCoh vs IndCoh (I.6) | TBA | Sasha-Penghui (?) |
| 8. Deformation Theory 1 (II.1.1 to II.1.4) | TBA | Tanya |
| 9. Deformation Theory 2 (II.1.5 to II.1.10) | TBA | Hongjie |
| 10. Ind-schemes and inf-schemes (II.2) | TBA | Sasha |
| 11. Ind-coh on ind-inf-schemes (II.3) | TBA | |
| 12. Crystals (II.4) | TBA | Hongjie |
Organizers: Quoc Ho and Tanya