Sökning: "Naturvetenskap Matematik Geometri"
Visar resultat 1 - 5 av 146 avhandlingar innehållade orden Naturvetenskap Matematik Geometri.
1. Vector-valued Eisenstein series of congruence types and their products
Sammanfattning : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. LÄS MER
2. Topological and geometrical methods in data analysis
Sammanfattning : This thesis concerns two related data analysis pipelines, using topological and geometrical methods respectively, to extract relevant information. The first pipeline, referred to as the topological data analysis (TDA) pipeline, constructs a filtered simplicial complex on a given data set in order to describe its shape. LÄS MER
3. Admissible transformations and the group classification of Schrödinger equations
Sammanfattning : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. LÄS MER
4. Positive vector bundles in complex and convex geometry
Sammanfattning : This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analytical theory which all, vaguely speaking, are related to the notion of positive curvature in general, and L^2-methods for the dbar-equation in particular. The thesis contains four papers. LÄS MER
5. Strong Cosmic Censorship and Cosmic No-Hair in spacetimes with symmetries
Sammanfattning : This thesis consists of three articles investigating the asymptotic behaviour of cosmological spacetimes with symmetries arising in Mathematical General Relativity.In Paper A and B, we consider spacetimes with Bianchi symmetry and where the matter model is that of a perfect fluid. LÄS MER