Musicological Markup with the mei-friend Editor
As the only music encoding format, MEI natively supports not only various types of notation, but also fine-grained cross-references?both within a document and to other digital objects?as well as complex transcription-related and editorial markup. At the same time, there is a great need for suitable tools that are graphically oriented and enable ...
Duration: 01/2023 - 12/2023
MADE3D – Multi-Material Design in 3D Printing
Additive manufacturing (AM) has the economic potential to complement conventional manufacturing processes, especially in the production of complex, multi-material (MM) components. To exploit the full benefits of optimized lightweight structures, it is usually required to use multi-materials with different physical properties. Still, multi-material ...
Duration: 01/2023 - 06/2026
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
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 - 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 - 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 - 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 - 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; 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
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