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BIMSA 代数几何讨论班
BIMSA 代数几何讨论班
Exact shifted symplectic structures and deformation quantisation
Exact shifted symplectic structures and deformation quantisation
演讲者
J. P. Pridham
时间
2026年09月03日 15:00 至 16:00
地点
A6-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
Shifted symplectic and Poisson structures arise in derived algebraic geometry as structures on moduli stacks, often related to enumerative invariants. This talk will sketch the extension of the correspondence between n-shifted symplectic and Poisson structures to exact structures.
I will also explain how these quantise, focusing on the n=-1 case. There, exactness is automatic and the unique self-dual quantisation is a purely algebraic object underpinning the perverse sheaf of vanishing cycles underpinning cohomological DT invariants.
I will also explain how these quantise, focusing on the n=-1 case. There, exactness is automatic and the unique self-dual quantisation is a purely algebraic object underpinning the perverse sheaf of vanishing cycles underpinning cohomological DT invariants.