Motivic Homotopy Theory and Intersection Theory (A11*)

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

This project tackles several open problems in intersection theory using motivic homotopy theory. One such problem is the construction of a motivic filtration on the algebraic K-theory of general schemes. We will also study Voevodsky's derived category of motives over a general base using framed correspondences and the cdh-topology, and revisit algebraic cobordism from the perspective of intersection theory in derived algebraic geometry.

• 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; Professor Dr. Moritz Kerz