Stratified spaces and factorisation homology techniques (A02)

• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 506632645

We propose to investigate the interplay of higher algebraic structures associated to stratified spaces within the framework of topological quantum field theory with a view towards bridging the gap between universal tools and explicit computational methods. We will advance our understanding of stratified TFTs and the higher algebraic structures they govern in concrete examples relevant for applications, developing state sum techniques, relative field theories, and TFTs with non-constant coefficients. An overarching goal will be to develop and adapt factorization homology, making it computable by combinatorial methods.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1624: Higher structures, moduli spaces and integrability
• Applicant Institution: Universität Hamburg
• Project Heads: Professor Dr. Tobias Dyckerhoff; Professor Dr. Ingo Runkel; Professorin Dr. Claudia Scheimbauer; Professor Dr. Christoph Schweigert