Fakultäten der Universität Bonn: Suche
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Factorization of holomorphic eta quotients
(2014-12-12)
We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it is reducible and we prove this conjecture for all prime power levels. In particular, this also implies that rescaling and ...
L2-index theory, the Chern conjecture, and manifolds of special holonomy
(2014-12-12)
In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah's L2-index theorem used by Gromov to prove said conjecture for Kähler manifolds, and an extension to Kähler ......
Flat Fronts and Stability for the Porous Medium Equation
(2014-08-26)
This work shows stability of general solutions of the porous medium equation close to flat travelling wave fronts in the sense of homogeneous Lipschitz spaces under rather weak conditions on the initial data that are optimal ...
Limiting Properties of a Continuous Local Mean-Field Interacting Spin System: Hydrodynamic Limit, Propagation of Chaos, Energy Landscape and Large Deviations
(2016-08-29)
A key interest in the study of interacting spin systems is the rigorous analysis of the macroscopic dynamical behaviour of systems that are described by their microscopic evolution. In this dissertation, we investigate ...
The gradient flow of the double well potential and its appearance in interacting particle systems
(2016-10-13)
In this work we are interested in the existence of solutions to parabolic partial differential equations associated to gradient flows which involve the so-called double well potential, which is a nonconvex and nonconcave ...
hp-finite elements for pde-constrained optimal control problems with focus on distributed control and fast solvers
(2016-09-06)
In this thesis hp-finite element methods are applied to linear quadratic optimal control problems subject to partial differential equations.
In particular two kind of model problems are considered: a boundary control ......
In particular two kind of model problems are considered: a boundary control ......
Higher cross-ratios and geometric functional equations for polylogarithms
(2016-08-31)
In this work we define and study a generalization of the classical cross-ratio. Roughly speaking, a generalized cross-ratio is a function of n points in a projective space that is invariant under the change of coordinates ......
Extremal Processes in Branching Brownian Motion and Friends
(2016-07-21)
In recent years there has been increasing interest in understanding the extremal behaviour of strongly correlated systems.
We start the introduction by recalling the main results for independent, identically distributed ...
We start the introduction by recalling the main results for independent, identically distributed ...
Affine nilTemperley-Lieb Algebras and Generalized Weyl Algebras: Combinatorics and Representation Theory
(2016-09-13)
This thesis lies at the crossroads of representation theory and combinatorics. It is subdivided into two parts, each of which is devoted to a particular combinatorial technique in the study of weight modules.
In the ......
In the ......
Symmetric products, subgroup lattices and filtrations of global K-theory
(2016-07-21)
This thesis consists of two projects in equivariant stable homotopy theory. In the first we study the rational homotopy groups of symmetric products of the G-sphere spectrum and show that they are naturally isomorphic to ...