Fakultäten der Universität Bonn: Suche
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Homotopy-Theoretic Studies of Khovanov-Rozansky Homology
(2015-07-29)
This dissertation applies homotopy-theoretic methods to the study of Khovanov-Rozansky homology, a generalization of Khovanov homology (which in turn categorifies the Jones polynomial) that is constructed using categories ......
In dieser Dissertation widme ich mich der homotopietheoretischen Untersuchung der Khovanov-Rozansky Homologie, einer 2004 gefundenen Invariante von Knoten und Verschlingungen im Raum. Sie ist eine Verallgemeinerung der ......
In dieser Dissertation widme ich mich der homotopietheoretischen Untersuchung der Khovanov-Rozansky Homologie, einer 2004 gefundenen Invariante von Knoten und Verschlingungen im Raum. Sie ist eine Verallgemeinerung der ......
Linear Inviscid Damping for Monotone Shear Flows, Boundary Effects and Sharp Sobolev Regularity
(2015-07-23)
In this thesis, we study the linear stability and long-time asymptotic behavior of solutions to the 2D incompressible Euler equations, which model the evolution of an inviscid, incompressible fluid.
The Euler equations ...
The Euler equations ...
Stable maps and singular curves on K3 surfaces
(2015-08-05)
This thesis develops and applies the theory of arbitrary genus stable maps to K3 surfaces. In the first application of the theory, we study the loci of smooth curves of genus p-n admitting n-nodal models on K3 surfaces. ...
Parallel RBF Kernel-Based Stochastic Collocation for Large-Scale Random PDEs
(2015-07-03)
In this thesis, the solution of large-scale uncertainty quantification problems is considered. Uncertainty quantification aims to extract stochastic (moment) information from processes with uncertain input data. These ...
Hilbert transforms and maximal operators along planar vector fields
(2015-07-16)
In harmonic analysis, there is a conjecture (attributed to Zygmund) stating that the directional maximal operator along a Lipschitz planar vector field is weakly bounded on L^2. In this thesis, we present some recent ...
Singular propagators in deformation quantization and Shoikhet-Tsygan formality
(2015-06-03)
This thesis adds some details to the seminal approach to logarithmic formality and interpolation formality by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps ......
Selberg and Ruelle zeta functions on compact hyperbolic odd dimensional manifolds
(2015-11-12)
In this thesis we study the Selberg and Ruelle zeta functions on compact oriented hyperbolic manifolds
X of odd dimension d. We prove that they converge in some half-plane Re(s)>c and that they admit a meromorphic ...
X of odd dimension d. We prove that they converge in some half-plane Re(s)>c and that they admit a meromorphic ...
Robust Wide-Baseline Stereo Matching for Sparsely Textured Scenes
(2013)
The task of wide baseline stereo matching algorithms is to identify corresponding elements in pairs of overlapping images taken from significantly different viewpoints. Such algorithms are a key ingredient to many computer ...
Convex Optimization for Inequality Constrained Adjustment Problems
(2015-10-14)
Whenever a certain function shall be minimized (e.g., a sum of squared residuals) or maximized (e.g., profit) optimization methods are applied. If in addition prior knowledge about some of the parameters can be expressed ...
Thin Viscous Films on Curved Geometries
(2014-08-29)
The topic of this thesis is the evolution of thin viscous films on curved substrates. Using techniques from differential geometry, namely the exterior calculus of differential forms, and from optimization theory, in ...