eDissertationen: Browsing eDissertationen by Title
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On arithmetic families of filtered φmodules and crystalline representations
Hellmann, Eugen (20110510)We consider stacks of filtered phimodules over rigid analytic and adic spaces. We show that these modules parametrize padic Galois representations of the absolute Galois group of a padic field with varying coefficients ... 
On arithmetic properties of Fuchsian groups and Riemann surfaces
Kucharczyk, Robert Anselm (20150211)In this thesis, Riemann surfaces and their fundamental groups are studied from an arithmetic point of view. First the image of the absolute Galois group of a number field under Grothendieck's representation with values in ... 
On Cells and Agents: Geosimulation of Urban Sprawl in Western Germany by Integrating Spatial and NonSpatial Dynamics
Rienow, Andreas (20140718)Urban sprawl is one of the most challenging landuse and landcover changes in Germany implicating numerous consequences for the anthropogenic and geobiophysical spheres. While the population and job growth rates of most ... 
On discrete surfaces: Enumerative geometry, matrix models and universality classes via topological recursion
GarciaFailde, Elba (20190321)The main objects under consideration in this thesis are called maps, a certain class of graphs embedded on surfaces. We approach our study of these objects from different perspectives, namely bijective combinatorics, matrix ... 
On GIT Compactified Jacobians via Relatively Complete Models and Logarithmic Geometry
Bellardini, Alberto (20140709)In this thesis we study modular compactifications of Jacobian varieties attached to nodal curves.
Unlike the case of smooth curves, where the Jacobians are canonical, modular compact objects, these compactifications ... 
On moduli spaces of Riemann surfaces: new generators in their unstable homology and the homotopy type of their harmonic compactification
Boes, Felix Jonathan (20180710)By M_g(m,n) we denote the moduli space of conformal structures on an oriented compact cobordism S_g(m,n) of genus g greater or equal 0 and with m+n greater or equal 0 enumerated, parametrized boundary components of which ... 
On Multilevel Methods Based on NonNested Meshes
Dickopf, Thomas (20101215)This thesis is concerned with multilevel methods for the efficient solution of partial differential equations in the field of scientific computing. Further, emphasis is put on an extensive study of the information transfer ... 
On Problems Related To Galaxy Formation
Abdullah, Ahmed Hasan (20160517)The main idea of the underlying PhD study is to trace the history of the assembly of galaxies and of their subsequent evolution. We approach this issue in two ways: 1) by studying galaxy spin and 2) by studying the oldest ... 
On quotients of ω* and automorphisms of P(ω)/fin that preserve or invert the shift
Silveira Salles, Tomás (20160530)The first part of the dissertation concerns the space ω*:=βω\ω and its quotients. A 2002 result from Bella, Dow, Hart, Hrusak, van Mill and Ursino implies that homeomorphisms between 0dimensional secondcountable Hausdorff ... 
On Rho Invariants of Fiber Bundles
Bohn, Michael (20090721)Using adiabatic limits of Eta invariants, Rho invariants of the total space of a fiber bundle are investigated. One concern is to formulate the aspects of local index theory for families of Dirac operator in terms of the ... 
On rigidity of the ring spectra P_{m}S_{(p)} and ko
Hutschenreuter, Katja (20120914)We study the rigidity question for modules over certain ring spectra. A stable model category is rigid if its homotopy category determines the Quillen equivalence type of the model category. Amongst others, we prove that ... 
On some Geometric Search Problems: Algorithms, Complexity, Computability
Kübel, David J. F. (20201125)This thesis considers four search problems which are related to or emerge from a geometric context. Each search problem is examined in a separate chapter; these four chapters are framed by an introduction and a conclusion ... 
On Some Rigidity Properties in PDEs
Rüland, Angkana (20140416)This thesis is dedicated to the study of three rigidity properties arising in different partial differential equations: (1) the backward uniqueness property of the heat equation in twodimensional conical domains, (2) the ... 
On some variational problems in geometry
Matthiesen, Henrik (20180828)In this thesis we consider several variational problems in geometry that have a connection to the spectrum of the Laplacian acting on functions. In the first part, we study a quantity called the analytic systole, which was ... 
On the Classification of Cohomology Bott Manifolds
Abczynski, Anna (20131107)We study cohomology Bott manifolds by means of modified surgery theory. Cohomology Bott manifolds admit a ring isomorphism to the cohomology ring of a Bott manifold which preserves the Pontrjagin and StiefelWhitney classes. ... 
On the dynamics of correlations in Scaling limits of interacting particle systems
Winter, Raphael Elias (20180709)In this work, we analyze the properties of twoparticle correlations in the weakcoupling and plasma limit of interacting particle systems motivated by Bogolyubov's formal derivation of kinetic equations.
We prove ... 
On the ecology and biogeography of alpine tundra arachnids
Hein, Nils (20140521)In the course of the discussion about the effects of manmade Climate Change on ecosystems, alpine regions of the earth have become a major focus. Alpine ecosystems are generally considered to be especially sensitive towards ... 
On the effective properties of suspensions
Schubert, Richard (20190204)Einstein's formula for the viscosity of dilute suspensions describes how rigid particles immersed in a Stokesfluid increase its macroscopic viscosity in terms of the particle volume density ∅. However, up to now, a rigorous ... 
On the FeynmanKac formula for Schrödinger semigroups on vector bundles
Güneysu, Batu (20110511)In this thesis we generalize the FeynmanKac formula to semigroups that correspond to Schrödinger type operators with possibly singular potentials on vector bundles over noncompact Riemannian manifolds.
This ... 
On the Finiteness of the Classifying Space for Virtually Cyclic Subgroups
von Puttkamer, Timm Wilhelm (20180720)This thesis mainly deals with finiteness properties of the classifying space for the family of virtually cyclic subgroups. We establish a link between the finiteness of the classifying space and the conjugacy growth invariant ...