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
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
EKI-App: Energy-efficient artificial intelligence in the data center by approximating deep neural networks for field-programmable gate arrays
The goal of the project is to increase the energy efficiency of AI systems for DNN inference by approximation methods and mapping on high-performance FPGAs. By adapting, further developing and providing a software tool chain based on the open source tool FINN for the automated, optimized and hardware-adapted implementation of DNNs on FPGAs and ...
Duration: 01/2023 - 12/2025
CREXDATA: Critical Action Planning over Extreme-Scale Data
Project visionCREXDATA's vision is to develop a data platform for real-time critical situation management. This should also enable flexible action planning and agile decision making on data of extreme size and complexity. Within CREXDATA, algorithms, software architectures, and tools are being developed for networked predictive analytics and ...
Duration: 01/2023 - 12/2025
Contact: Dr.-Ing. Jens Pottebaum
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 - 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 - 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
The Effect of Spatial Correlation on Liquid Phase Vibrational Spectra
Within this project, the influence of spatial correlation on the vibrational spectra (infrared, Raman, VCD, ROA) of condensed phase systems shall be investigated. It is well known in the literature that spatial correlation plays a significant role for the signal intensity in vibrational spectroscopy, but there does not yet exist a generally ...
Duration: 01/2023 - 12/2026
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
Understanding and optimizing triplet exciton transfer at organic-inorganic interfaces: Microscopic calculations
Photovoltaics play an important role for the provision of clean and renewable energy. Presently, silicon solar cells dominate the market. However, they have a serious efficiency limitation: The photon energy in excess of the silicon band gap is transformed into unwanted heat. Singlet exciton fission, in which two triplet excitons are generated from ...
Duration: 01/2023 - 12/2027