TRR 358 - Affine Kac–Moody groups: algebra, analysis and arithmetic (Subprojct A05)
Affine Kac-Moody groups and related groups (like loop groups) will be studied from several perspectives. We shall investigate finiteness properties of special linear groups over Laurent polynomials over the ring of integers. We also strive to classify certain maximal Lie orders corresponding to trigonometric solutions of the classical Yang-Baxter ...
Duration: 01/2023 - 12/2026
TRR 358; TP A04: Combinatorial Euler products
Euler products are the incarnation of local-global principles. They often arise as leading constants of an asymptotic formula describing a counting problem in algebra or number theory, and they encode the underlying integral structures. Prototypes are the conjectures of Manin and Malle. The Euler products and their associated zeta functions ...
Duration: 01/2023 - 12/2026
TRR 358; TP A02: Algebraic and arithmetic aspects of aperiodicity
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. ...
Duration: 01/2023 - 12/2026
TRR 358 - Integral structures in geometry and representation theory
Integral structures arise in many places throughout mathematics: as lattices in Euclidean space, as integral models of reductive groups and algebraic schemes, or as integral representations of groups and associative algebras. Even questions about the most basic example of an integral structure, the ring of integers Z, very soon lead into the fields ...
Duration: 01/2023 - 12/2026
KatHelfer-PrO
In the KatHelfer project, a broad-based consortium of users, industry partners and research institutes has come together to integrate existing approaches for coordinating spontaneous helpers into an overall socio-technical solution. In the past, SIFO research projects such as KUBAS, ENSURE, REBEKA, INKA and the ongoing WUKAS have generated ...
Duration: 01/2023 - 12/2024
Planet Ocean. A History of the Sea in the Anthropocene
Conceived as a history of the global present, the project asks about the effects of human actions and uses on the marine environment and, on the other hand, shows how the sea shaped politics, economy and society. The concept includes four sub-projects: A textbook "Planet Ocean. History of the Sea in the Anthropocene" as well as papers on the ...
Duration: 01/2023 - 12/2028
Physics of periodic and quasi-periodic polariton systems
Light-matter interaction has attracted a great deal of attention in modern physics and material sciences. Many unique and unconventional properties have been reported on the journey to the efficient control of light (or photons). A light-matter coupled state of particular current interest is the exciton-polariton, a quasiparticle composed of a ...
Duration: 01/2023 - 12/2026
Paderborn To Go: Augmented Reality App für eine visualisierte Form der Geschichtsvermittlung
Die 3D-Rekonstruktion eines europ?ischen Pionierwerkes, des Paderborner Ozonwasserwerks, kann mit der Paderborn To Go App via Augmented Reality auf dem ehemaligen Standort an der B?rnepader platziert und vollumf?nglich betrachtet werden. Neben dem Ozonwasserwerk wurden weitere Medien auf Broschüren und Flyer, die im Zuge des Bewerbungsverfahrens ...
Duration: 01/2023 - 12/2024
National Research Data Infrastructure for and with Computer Science
The main goal of the consortium NFDIxCS is to identify, define and finally deploy services to store complex domain specific data objects from the specific variety of sub-domains from Computer Science (CS) and to realize the FAIR principles across the board. This includes to produce re-usable data objects specific to the various types of CS data ...
Duration: 01/2023 - 12/2028
Near-field coupled nonlocal optical metasurface for versatile polarization and bandstructure manipulations
Recent advances in the modern nanotechnology gave birth to ‘thin-flat-optics’ elements (the so-called optical metasurfaces), based on nanoscale structures, capable of versatile tailoring on the responses to light such as wave-fronts, amplitudes, polarization, and frequency. Despite the extremely reduced dimensions of the ‘flat-optics’ elements, the ...
Duration: 01/2023 - 12/2026