Sökning: "arithmetic group"
Visar resultat 1 - 5 av 18 avhandlingar innehållade orden arithmetic group.
1. Ramification numbers and periodic points in arithmetic dynamical systems
Sammanfattning : 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. LÄS MER
2. Abelian affine group schemes, plethories, and arithmetic topology
Sammanfattning : 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. LÄS MER
3. Arithmetic of three-point covers
Sammanfattning : 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. LÄS MER
4. Koszul duality for categories and a relative Sullivan-Wilkerson theorem
Sammanfattning : 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. LÄS MER
5. Residue fixed point index and wildly ramified power series
Sammanfattning : 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. LÄS MER
