Elimination theory for deformed differential calculus (C06#)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 442047500

This project develops formal and algorithmic approaches to differential calculi on deformedspaces, as they have been suggested for deformation quantization in quantum mechanics. Elimination methods are developed for systems of differential equations in this context. This kind of differential equation is currently also considered in research on skyrmions in ferromagnetism. Integrability and parameter dependencies are investigated using the developed algorithmic techniques.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1481: Sparsity and Singular Structures
• International Connection: United Kingdom
• Applicant Institution: Rheinisch-Westfälische Technische Hochschule Aachen
• Project Head: Professor Dr. Daniel Robertz