TRR 191 - Symplectic structures in geometry, algebra and dynamics
Since their inception, the study of symplectic structures and the applications of symplectic techniques (as well as their odd-dimensional contact geometric counterparts) have benefited from a strong extraneous motivation. Symplectic concepts have been developed to solve problems in other fields that have resisted more traditional approaches, or ...
Duration: 01/2017 - 12/2021
TRR 191 - Derived categfories of singular curves (Subproject A07)
In this project, we shall apply techniques of algebraic geometry and homological algebra (derived categories, Fourier-Mukai transforms, vector bundles on possibly singular Riemann surfaces) to study problems of geometric analysis. In particular, we shall investigate Bochner Laplacians and kernel functions (Bergman and Szeg? kernels) attached to ...
Duration: 01/2017 - 12/2020
TRR 191 - Symplectic methods of infinite dimensional systems (Subproject B06)
Symplectic methods lead to significant progress also for infinite-dimensional dynamical systems (mostly in the form of PDEs). This project considers two instances of such systems, and we intend to (i) construct new solutions of the Einstein equations using integrability methods (via symmetries of the spacetime); and (ii) significantly expand the ...
Duration: 01/2017 - 12/2020
Hardware-in-the-loop environment for multidimensional axle testing and chassis design
Die Hardware-in-the-Loop-Simulation (HiL-Simulation) ist eine bew?hrte Test- und Entwicklungsmethode für mechatronische Produkte, die insbesondere in der Automobilentwicklung eingesetzt wird. Die zu testende Teilkomponente eines Gesamtsystems wird real aufgebaut, von den restlichen Komponenten werden Modelle auf einem Echtzeitsystem simuliert, und ...
Duration: 01/2017 - 12/2022
Investigating Solvation of Bio-Polymers in Ionic Liquids by Means of Multiscale Simulations and Computational Spectroscopy
Within this project, the microscopic solvation characteristics of cellulose in ionic liquids shall be investigated by means of multiscale molecular dynamics simulations, complemented by computational spectroscopy. The aim of the project is to gain a molecular picture of the interactions between cellulose and a series of ionic liquids and to ...
Duration: 01/2017 - 04/2023
Acoustic Sensor Networks Research Group
This Research Unit investigates solutions and limitations for acoustic signal processing and classification over coustic sensor networks. We aim to tackle current shortcomings and to develop a common platform which will make ASNs more adaptive to the variability of acoustic environments and sensor configurati?ons, less dependent on supervision, and ...
Duration: 01/2017 - 12/2023
Sound Recognition with Limited Supervision over Sensor Networks
A mismatch between training and test data statistics can result in a significant degradation of performance of machine learning systems. For sound recognition in acoustic sensor net?works (ASNs) this is a significant issue because of the huge number and variability of sounds and acoustic environments, and because of the large variety of sensor ...
Duration: 01/2017 - 12/2023
Distributed Acoustic Signal Processing over Wireless Sensor Networks
We consider an acoustic sensor network, where different applications, such as source separation and extraction, should be executed. A straightforward solution might be to transport all data to a gateway node and process it there. This is, however, not necessarily the best solution (data rate bottlenecks, large latency for big acoustic data). We ...
Duration: 01/2017 - 12/2023
Graduiertenkolleg ?Human Centered Systems Security: North Rhine-Westphalian Experts on Research in Digitalization“
Der ?Faktor Mensch“ ist eine bedeutsame Fehlerquelle in IT-Systemen und spielt nicht nur bei der Benutzung von IT-Systemen eine wichtige Rolle, sondern auch bei der Entwicklung, Integration und Administrierung. Daher sollte eine differenzierte Betrachtung des Menschen im Hinblick auf seine Rolle bei der Angreifbarkeit von IT-Systemen entlang der ...
Duration: 01/2017 - 12/2022