E-Dissertationen: Suche
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Symplectic non-squeezing theorem and Hamiltonian partial differential equations
(2021-12-01)
The thesis is concerned with providing a first natural generalization of M. Gromov's non-squeezing symplectic result in infinite dimensional case and applying it within the context of Hamiltonian partial differential ...
Pointwise convergence, maximal functions and regularity issues in harmonic analysis
(2020-03-05)
This cumulative thesis is dedicated to the study of different maximal operators related to pointwise convergence in Fourier Analysis and is divided in three main parts.
The first part is dedicated to regularity results ...
The first part is dedicated to regularity results ...
Mapping Properties of Bäcklund Transformations and the Asymptotic Stability of Soliton Solutions for the Nonlinear Schrödinger and Modified Korteweg-de-Vries Equation
(2020-02-17)
We consider the cubic Nonlinear Schrödinger Equation (NLS) and the Modified Korteweg-de-Vries Equation (mKdV) in the one-dimensional, focusing case. For the mKdV, we also restrict ourselves to the case of real-valued ...
Homological Stability, Characteristic Classes and the Minimal Genus Problem
(2021-04-07)
The purpose of this thesis is to study the (co-)homological properties of the classifying space of subsurface bundles in a trivial background bundle with fiber a manifold M. We will investigate homological stability ...
External Spanier-Whitehead duality for C-spectra and applications to C-homology theories
(2021-07-19)
The thesis constructs a Spanier-Whitehead type duality functor relating finite C-spectra to finite Cop-spectra, where C is a topological index category. We prove that every C-homology theory is given by taking the homotopy ...
The Mukai system of rank two and genus two
(2020-11-19)
We study the Mukai system $M rightarrow mathbb{P}^5$ of rank two and genus two from three different points of view. We compute the degrees and multiplicities of the irreducible components of the fibers over non-reduced ...
Moduli spaces of branched coverings of the plane
(2020-07-03)
In this thesis I build a strong connection between Hurwitz spaces of branched coverings of the complex plane, and moduli spaces M_{g,n} of Riemann surfaces of genus g ≥ 0 with n ≥ 1 boundary components.
I refine a ...
I refine a ...
Théorie de Bruhat-Tits, grassmanniennes affines et modèles locaux
(2020-10-02)
Nous développons la théorie de Bruhat-Tits pour les groupes quasi-réductifs sur les corps discrètement valués, henséliens et excellents, qui se quasi-déploient sur l'henselisé strict. Ensuite, cette théorie est appliquée ...
Approximation Algorithms for the Traveling Salesman Problem
(2021-05-11)
The traveling salesman problem (TSP) is probably one of the best-studied problems in discrete optimization. Given a complete weighted graph with n vertices, the task is to find a tour of minimal length that visits every ...
On some Geometric Search Problems: Algorithms, Complexity, Computability
(2020-11-25)
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 ...