Sökning: "Rikard Bøgvad"
Visar resultat 1 - 5 av 12 avhandlingar innehållade orden Rikard Bøgvad.
1. Graded lie algebras in local algebra and rational homotopy
Sammanfattning : This thesis consists of three papers, [A – C]The old conjecture that Poincaré-series of local noetherian rings are rational was disproved by Anick in 1979. Building upon his counter-example, as analyzed by Löfwall-Roos, I construct a Gorenstein ring with transcendental Poincaré-series; by a method of Roos this also gives a manifold whose loopspace has transcendental Poinaré-Betti series. LÄS MER
2. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials
Sammanfattning : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. LÄS MER
3. Direct Images Of Locally Constant Sheaves on Complements to Plane Line Arrangements
Sammanfattning : .... LÄS MER
4. Decomposition of perverse sheaves
Sammanfattning : This PhD thesis consists in three papers in which we describe irreducibility conditions and the number of factors in a composition series of certain perverse sheaves. We study some particular cases, providing examples and showing how to explicitly use perverse sheaves to obtain precise results. LÄS MER
5. Approaching Proof in a Community of Mathematical Practice
Sammanfattning : This thesis aims to describe how students encounter proof in a community of mathematical practice at a mathematics department and how they are drawn to share mathematicians’ views and knowledge of proof. Considering the department as a community of practice where the joint enterprise is learning mathematics in a broad sense made it possible to perceive the newcomers as active participants in the practice. LÄS MER