Koszul duality is a powerful tool that can be used to produce resolutions of algebras in many contexts. In this talk, I explain how to use curved Koszul duality for algebras over unital operads to compute the factorization homology of a closed manifold with values in the algebra of polynomial functions on a standard shifted symplectic space.

(Junior speaker at the summer school “*Séminaire de mathématiques supérieures* – Derived Geometry and Higher Categorical Structures in Geometry and Physics”.)