Higher Categories of Correspondences (A10*)

• Subject Area: Mathematics
• Term: since 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 224262486

The goal of this project is to develop the theory of higher correspondences in higher categories, in conjunction with applications to algebraic geometry and to topological field theory. Specifically, we seek to construct a fully coherent formalism of six operations for motivic sheaves, which subsumes virtual fundamental classes, and to promote Dijkgraaf-Witten theory to a fully extended topological field theory.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1085: Higher Invariants – Interactions between Arithmetic Geometry and Global Analysis
• Applicant Institution: Universität Regensburg
• Project Heads: Professor Dr. Denis-Charles Cisinski; Professor Dr. Marc Hoyois; Professorin Dr. Claudia Scheimbauer