Invariants play a dominant role in all of mathematics: Invariants should be fine enough to extract the right information, but coarse enough to be computable in specific cases. Higher invariants are a structural and hierarchical refinement of certain classical invariants. The long term goal of this Collaborative Research Centre is to formulate the principles of construction and computation of higher invariants in a systematic way.
- Higher Chern classes
- Volumes, L-functions, and polylogarithms
- Metric structures on cohomology, vector bundles, and cycles
- Higher categories and enriched structures