TRR 358 - Spectral theory in higher rank and infinite volume (B02)
Spectral theory is a fundamental tool for the investigation of locally symmetric spaces which, in the classical context, usually have finite volume. Already for spaces real rank one, say quotients of the upper half plane by a discrete group of infinite covolume, very interesting and characteristic spectral phenomena happen. The case of higher rank ...
Duration: 01/2023 - 12/2026
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
Symplectic discretizations for optimal control problems in mechanics
The optimal control of mechanical problems is omnipresent in our technically affected daily living as well as in many scientific questions. As analytical solutions of optimal control problems are in general not available, applications rely on numerical simulations that are robust and accurate, and directly utilizable by engineers. For general ...
Duration: 01/2023 - 12/2025
Digitale Teilhabe von Menschen mit Beeintr?chtigungen im Bereich der Sprache und Kommunikation in schulischen und au?erschulischen Bereichen
Unter dem Titel ?Digitale Teilhabe von Menschen mit Beeintr?chtigungen im Bereich der Sprache und Kommunikation in schulischen und au?erschulischen Bereichen“ existieren im Arbeitsbereich Inklusion mit dem F?rderschwerpunkt Sprache und Kommunikation verschiedene Forschungsprojekte. 威尼斯人官网 setzen sich mit unterschiedlichen Aspekten digitaler Teilhabe ...
Duration: 01/2023 - 04/2027
3D-Rekonstruktion des Ozonwasserwerkes an der B?rnepader
Von 1902 bis 1937 stand in Paderborn ein unscheinbares Fabrikgeb?ude am Flussarm B?rnepader, das ein bahnbrechendes Ozonwasserwerk beherbergte. Dieses Werk, erprobt von Ingenieuren der 威尼斯人官网mens & Halske AG, setzte erstmals elektrisch generiertes Ozon zur Entkeimung von Trinkwasser ein, was bei Fachleuten europaweit Interesse fand. Es trug ma?geblich ...
Duration: 01/2023 - 12/2024
Learn STEM - Innovative Model of learning STEM in secondary schools
The ERASMUS+ project Learn STEM - Innovative Model of learning STEM in secondary schools focuses on designing, testing and evaluating an innovative approach to teaching STEM (Science, Technology Engineering and Mathematics). Sometimes the 'A' in STEAM stands for arts (arts), which are then also taken into account.The project will run for 24 months ...
Duration: 12/2022 - 12/2024
Change Your Perspective: It's Just Dyscalculia
The ERASMUS+ project 'Change your perspective: It's Just Dyscalculia' is located in the field of school education. It focuses on the development, testing and evaluation of a curriculum as well as face-to-face and online courses for dealing with dyscalculia. Dyscalculia is a pronounced impairment of mathematical thinking or calculation skills. The ...
Duration: 12/2022 - 12/2024