Title: Categorical residues and duality
Abstract: Various types of duality results in both symplectic and algebraic geometry are well-known to be related to Calabi-Yau structures on the relevant categories. In this talk, I'll discuss an abstract approach, as a categorical analogue to Beilinson-Tate residue theory, to provide ingredients for constructing Calabi-Yau structures on dg/A-infinity categories that are not necessarily proper. Applications include duality type results for Rabinowitz Fukaya categories, singularity categories, and so on.