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This work aims to translate results from derived algebraic geometry to derived differential geometry, focusing on shifted Poisson structures.

An outline of shifted Poisson structures and deformation quantisation in derived differential geometry

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This outlines results on shifted Poisson structures in derived differential geometry, suggesting applications in algebraic geometry.

This work aims to translate results from derived algebraic geometry to derived differential geometry, focusing on shifted Poisson structures.
Discussed various structures including NQ-manifolds and smooth stacks.
Examined existence and classification of deformation quantisations on these structures.
Identified connections between shifted Poisson structures and deformation quantisations.
Provided frameworks to categorize these structures in derived differential geometry.

J. P. Pridham (2026) studied this question.

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