Shifted Symplectic Semi[n]ar
Shifted Symplectic Semi[n]ar
A weekly seminar taking place at Columbia University in Fall 2024.
Fridays, 9:00 – 10:30 am in Room 507.
Organized by James Hotchkiss and Lucy Yang.
∀n
September 20: Introduction / James Hotchkiss
September 27: Foundations [Kh1, §1, §2] / Ivan Zelich
October 4: Shifted Symplectic Structures [PTV], [CHS, Appendix B] / Amal Mattoo
October 11: Darboux coordinates [BBJ], [BBBBJ] / Johan de Jong
n = –1
October 18: DT theory [Kh1], [BF] / Lucy Yang
October 25: Break
November 1: The DT sheaf [Ki] / James Hotchkiss
November 8: Cohomological Hall algebras, I [KPS] / Andrés Ibáñez Núñez
November 15: Cohomological Hall algebras, II [KPS] / Andrés Ibáñez Núñez
n = 0
November 22: Purity and CY2 categories [D2] / Davis Lazowski
December 6: Purity for 0-shifted symplectic stacks [H] / Tommaso Botta
References, in order of appearance:
[Kh1] – Khan, Notes on derived algebraic geometry
[PTV] – Pantev, Toen, Vacquie, Vezzosi, Shifted symplectic structures
[CHS] – Calaque, Haugseng, Scheimbauer, The AKSZ Construction in Derived Algebraic Geometry...
[BBJ] – Brav, Bussi, Joyce, A 'Darboux theorem' for derived schemes with shifted symplectic structure
[BBBJ] – Ben-Bassat, Brav, Bussi, Joyce, A 'Darboux Theorem' for shifted symplectic structures...
[Kh2] – Khan, Virtual fundamental classes of derived stacks I
[BF] – Behrend, Fantechi, The intrinsic normal cone
[Ki] – Kinjo, An introduction to cohomological DT theory
[KPS] – Kinjo, Park, Safranov, Cohomological Hall algebras for 3-Calabi–Yau categories
[D1] – Davison, The integrality conjecture and the cohomology of preprojective stacks
[D2] – Davison, Purity and 2-Calabi–Yau categories
[H] – Hennecart, Cohomological integrality for symmetric quotient stacks