E-Dissertationen: Suche
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Numerical Methods for Uncertainty Quantification in Gas Network Simulation
(2018-09-26)
When modeling the gas flow through a network, some elements such as pressure control valves can cause kinks in the solution. In this thesis we modify the method of simplex stochastic collocation such that it is applicable ...
On the stability of the blow-up for the wave maps and the cubic wave equation
(2018-07-16)
In Thesis is divided into two parts. In the first part, we study the stability of the blow-up for the wave maps equation whereas in the second part we address the stability of the blowup for the cubic wave equation in ...
On moduli spaces of Riemann surfaces: new generators in their unstable homology and the homotopy type of their harmonic compactification
(2018-07-10)
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 the Finiteness of the Classifying Space for Virtually Cyclic Subgroups
(2018-07-20)
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 ...
p-Kazhdan-Lusztig Theory
(2018-07-03)
We describe a positive characteristic analogue of the Kazhdan-Lusztig basis for the Hecke algebra of a crystallographic Coxeter system, called the p-canonical basis. Using Soergel calculus, we present an algorithm to ......
Periodicity in motivic homotopy theory and over BP*BP
(2018-07-03)
In classical homotopy theory, the Periodicity theorem by Devinatz-Hopkins-Smith gives a complete answer as to what types of periodicities can occur in stable homotopy theory. In motivic homotopy theory, there are additional ...
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
(2018-03-05)
We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are ...
Intrinsic Dimension Estimation using Simplex Volumes
(2018-01-18)
In this thesis, we introduce a novel approach for the estimation of the intrinsic dimension of high-dimensional datasets. For this purpose, the volumes of high-dimensional simplices, with vertex points sampled from local ...
Hodge theoretic aspects of Soergel bimodules and representation theory
(2018-01-19)
In the last years, methods coming from Hodge theory have proven to be fruitful in representation theory, most remarkably leading to a new algebraic proof of the Kazhdan-Lusztig conjectures based on the Hodge theory of ...
The L2-Torsion Polytope of Groups and the Integral Polytope Group
(2018-01-24)
This thesis contains three projects revolving around the L2-torsion polytope. First we show that the L2-torsion polytope of infinite elementary amenable groups vanishes. Then we establish a link between ...