Derived Geometry and Higher Categorical Structures in Geometry and Physics @ Fields Institute (Toronto)

Title
Curved Koszul duality and factorization homology.
Event
Derived Geometry and Higher Categorical Structures in Geometry and Physics.
Location
Fields Institute (Toronto).
On
On .
Event page
Event page.
Slides
Slides.
Video
Video.

Abstract

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”.)