Project Details
Algebraic and arithmetic aspects of aperiodicity (A02)
Subject Area
Mathematics
Term
since 2023
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 491392403
This project aims at the analysis and classification of certain topological dynamical systems of geometric and number-theoretic origin. In particular, the systems induced by k-free integers in orders of algebraic number fields will be investigated via their generalised symmetries, their topological entropy and other number-theoretic invariants. Further, inflation tiling systems will be analysed topologically by extensions of existing cohomological tools towards profinite fundamental groups of tiling spaces.
DFG Programme
CRC/Transregios
Applicant Institution
Universität Bielefeld
Project Heads
Professor Dr. Michael Baake; Professor Dr. Jürgen Klüners