Physics of periodic and quasi-periodic polariton systems
Light-matter interaction has attracted a great deal of attention in modern physics and material sciences. Many unique and unconventional properties have been reported on the journey to the efficient control of light (or photons). A light-matter coupled state of particular current interest is the exciton-polariton, a quasiparticle composed of a ...
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 - 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
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
Near-field coupled nonlocal optical metasurface for versatile polarization and bandstructure manipulations
Recent advances in the modern nanotechnology gave birth to ‘thin-flat-optics’ elements (the so-called optical metasurfaces), based on nanoscale structures, capable of versatile tailoring on the responses to light such as wave-fronts, amplitudes, polarization, and frequency. Despite the extremely reduced dimensions of the ‘flat-optics’ elements, the ...
Duration: 01/2023 - 12/2026
AnnoPy – ein digitales Tool zur F?rderung f?cherübergreifender wissenschaftlicher Textkompetenzen
AnnoPy (www.annopy.de) ist ein digitales, kollaboratives Tool, um den Erwerb von literalen Kompetenzen, die für den Umgang mit wissenschaftlichen Texten im Studium notwendig sind, zu f?rdern. Das Tool ist im Rahmen einer f?cherübergreifenden Zusammenarbeit von Mathematik-, Informatik- und Sprachdidaktik entwickelt worden und kann in der ...
Duration: 01/2023 - 03/2024
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; 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
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. 澳门赌场注册,博狗网上赌场 setzen sich mit unterschiedlichen Aspekten digitaler Teilhabe ...
Duration: 01/2023 - 04/2027
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