Search for dissertations about: "Hadrien Espic"

Found 2 swedish dissertations containing the words Hadrien Espic.

  2. 1. Koszul duality for categories and a relative Sullivan-Wilkerson theorem

    Author : Hadrien Espic; Gregory Arone; Alexander Berglund; Bjørn Dundas; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; categories; Yoneda algebra; operads; dg modules; homotopy automorphisms; Sullivan-Wilkerson; arithmetic group; matematik; Mathematics;

    Abstract : This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an analogue of the Sullivan-Wilkerson theorem for relative CW-complexes.In Paper I, we define a general notion of Koszul dual in the context of a monoidal biclosed model category. READ MORE

  4. 2. Formality and rational homotopy theory of relative homotopy automorphisms

    Author : Bashar Saleh; Alexander Berglund; Aniceto Murillo; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; rational homotopy theory; formality; relative homotopy automorphisms; Mathematics; matematik;

    Abstract : This PhD thesis consists of four papers treating topics in rational homotopy theory.In Paper I, we establish two formality conditions in characteristic zero. We prove that a dg Lie algebra is formal if and only if its universal enveloping algebra is formal. READ MORE