TRR 358 - Tame patterns in the representation theory of reductive groups and arithmetic geometry (Subproject C03)
One says that an associative algebra has tame representation type if a complete classification of its indecomposable representations is possible, at least in principle. For example the classification of Harish-Chandra modules for the group SL(2,R) was reduced by Gelfand to such an algebra. We shall study algebras arising from more general reductive ...
Duration: 01/2023 - 12/2026
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 - Geodesic flows and Weyl chamber flows on affine buildings (B04)
Affine buildings and their quotients are geometric objects which come along with interesting dynamical systems. This project studies geodesic flows and Weyl chamber flows on such buildings. More precisely, the project aims to develop a spectral theory of joint Ruelle-Taylor resonances for the Weyl chamber flows and study equidistribution properties ...
Duration: 01/2023 - 12/2026
TRR 358 - Hereditary categories, reflection groups and non-commutative curves (Subproject C02)
There are deep connections between quiver representations and Coxeter groups involving the associated root systems, Lie algebras and quantum groups. We will study a parallel situation in which coherent sheaves on certain non-commutative curves, called exceptional curves, correspond to other types of reflection groups. Such exceptional curves ...
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
Change.WorkAROUND
Steigerung der Wandlungsf?higkeit industrieller Dienstleistungssysteme durch Workarounds (Change.WorkAROUND)Wandlungsf?higkeit ist die Eigenschaft eines Unternehmens, Ver?nderungen, die ein ursprünglich planbares oder vorhersehbares Ausma? überschreiten, rechtzeitig wahrzunehmen und technisch wie auch organisatorisch zu beherrschen. Zum Auf- und ...
Duration: 01/2023 - 12/2025
Contact: Prof. Dr. Daniel Beverungen, Prof. Dr. Martin Schneider
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
Move4Health
Das Verbundprojekt ?Move4Health“ befasst sich mit drei Themenschwerpunkten:(1) Psycho-Soziale Gesundheit von Kindern und Jugendlichen und das Potential von Bewegung, Spiel und Sport(2) Der Sportverein als attraktive Lebenswelt im Aufwachsen von Kindern und Jugendlichen(3) Qualitative Tiefenstudien: Schwerpunkt Ganztag, Schwerpunkt Kinder- und ...
Duration: 01/2023 - 12/2023
AProSys - AI-supported assistance and forecasting systems for sustainable use in intelligent distribution network technology
Climate and energy policy is rapidly changing the energy supply system in Germany. The nationwide integration of renewable energies and the integration of charging stations for electromobility are causing a high level of dynamism that is currently almost impossible to quantify. A forecast of potential outages that adapts to the dynamic power supply ...
Duration: 01/2023 - 12/2025
Contact: Prof. Dr. Daniel Beverungen, Sascha Kaltenpoth, Prof. Dr. Oliver Müller, Dr. Philipp zur Heiden