E-Dissertationen: Search
Now showing items 361-370 of 386
K-Theorie adischer Räume
(2023-09-13)
In dieser Arbeit formulieren wir die Grundlagen der K-Theorie im Kontext der adischen Geometrie unter Verwendung des Formalismus der verdichteten Mathematik und der Ergebnisse von Efimov über lokalisierende Invarianten ......
Modularity of special motives of rank four associated with Calabi-Yau threefolds
(2023-09-18)
In this thesis, we study modularity properties of pure motives and mixed period matrices of rank four. The pure motives that we consider are associated with Calabi-Yau threefolds, while the mixed period matrices are ...
Flows of Viscous Fluids: Fluctuations for Stochastic Homogenisation in Perforated Domains, and Non-Newtonian Thin-Film Models
(2022-09-26)
(noch nicht zugänglich / not yet accessible)
A PEL type Igusa stack and the p-adic geometry of Shimrua varieties
(2023-10-17)
Let (G, X) be a PEL-Shimura datum of type AC in Kottwitz’s classification. Assume G_{Q_p} is unramified. We show in this thesis that the good reduction locus of the infinite p-level Shimura variety attached to this datum, ...
Study of random Schrödinger operators away from the standard Anderson model: correlations and non-locality
(2023-10-31)
This thesis focuses on the investigation of two distinct variations of the Anderson model, where we relax the standard assumptions. In the first half of our study, we investigate a version of the Anderson model on the ...
Optimal Control of Quasilinear Parabolic PDEs: Theory and Numerics
(2022-12-15)
This thesis is concerned with theory and numerics of optimal control of quasilinear parabolic PDEs. The underlying parabolic PDE models, e.g., heat conduction with temperature-dependent thermal conductivity and is highly ...
Robust & Efficient Treatment of Industrial-Grade CAD Geometries for a Flat-Top Partition of Unity Method
(2022-12-15)
Even today, the treatment of industrial-grade geometries is a huge challenge in the field of numerical simulations. The geometries that are created by computer aided design (CAD) are often very complex and contain many ...
Minimisation problems in continuum mechanics and generalised convex hulls
(2022-11-24)
The goal of this thesis is the analysis of functionals subject to a differential constraint. These functionals appear in minimisation problems which are connected to problems coming from continuum mechanics. In the ...
On the Numerical Computation of Modular Forms
(2023-12-12)
This thesis presents a fast method for the numerical computation of modular forms. Our method significantly improves the performance of previous methods by using mixed-precision iterative solving techniques to reduce the ...
André-Quillen Homology of Global Power Functors and Ultra-Commutative Ring Spectra
(2023-01-23)
In this dissertation, we study multiplications in globally equivariant stable homotopy theory. Concretely, this means studying ultra-commutative ring spectra, which encode a rich multiplicative structure on a family of ...