Search for dissertations about: "arithmetic group"
Showing result 1 - 5 of 18 swedish dissertations containing the words arithmetic group.
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1. Ramification numbers and periodic points in arithmetic dynamical systems
Abstract : The field of discrete dynamical systems is a rich and active field of research within mathematics, with applications ranging from biology to computer science, finance, engineering and various others. In this thesis properties of certain discrete dynamical systems are studied together with number theoretic properties of the functions defining these systems. READ MORE
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2. Abelian affine group schemes, plethories, and arithmetic topology
Abstract : In Paper A we classify plethories over a field of characteristic zero. All plethories over characteristic zero fields are ``linear", in the sense that they are free plethories on a bialgebra. For the proof of this classification we need some facts from the theory of ring schemes where we extend previously known results. READ MORE
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3. Arithmetic of three-point covers
Abstract : Any cover of the Riemann sphere with rational branch points is known to be defined over the algebraic numbers. Hence the Galois group of the rationals acts on the category of such branched covers. Particulars about this action are still scarce, even in the simplest non-abelian case, the case with just three branch points. READ MORE
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4. Koszul duality for categories and a relative Sullivan-Wilkerson theorem
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
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5. Residue fixed point index and wildly ramified power series
Abstract : This thesis concerns discrete dynamical systems. These are systems where the dynamics is modeled by iterated functions. There are several applications of discrete dynamical system e.g. READ MORE