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BIMSA AG Seminar
BIMSA AG Seminar
Exact shifted symplectic structures and deformation quantisation
Exact shifted symplectic structures and deformation quantisation
Organizers
Speaker
J. P. Pridham
Time
Thursday, September 3, 2026 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
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.