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 Szegö 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 bewährte 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
infantaticum, regina, imperatrix - Inheritance and rule of daughters of Spanish monarchs in the 10th - 12th centuries
According to a document from 1157, Sancha, the sister of King Alfonso VII, made an introductory donation to the cathedral of Zamora and the church of San Miguel de Mercadillo with the words "Ego Sancia regina, comitis Raimundi et Vrrache regine ragina proles ...". A typical but in this case remarkable activity for the Spanish High Middle Ages; as ...
Duration: 01/2017 - 12/2024
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
The Research Programme "Digital Future"
With our research program we aim at the development of the scientific basis for a master plan “Digital future” for employers, employees, freelancers and private persons to support them in the proactive forming of the digital transition. Our research is based on a holistic concept. Following this approach we identify where the digital transition ...
Duration: 01/2017 - 04/2021
It’s OWL: Transferprojekt Konzipierung und Regelungsentwurf einer semiaktiven Sitzfederung (itsowl-TT-ReSiFe)
Duration: 01/2017 - 10/2017