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Visar resultat 1 - 5 av 6 avhandlingar som matchar ovanstående sökkriterier.

  1. 1. Grothendieck Rings and Motivic Integration

    Författare :Karl Rökaeus; Torsten Ekedahl; Johannes Nicaise; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : This thesis consists of three parts: In Part I we study the Burnside ring of the finite group G. This ring has a natural structure of a lambda-ring. However, a priori the images of the G-set S under the lambda-operations can only be computed recursively. LÄS MER

  3. 2. Destackification and Motivic Classes of Stacks

    Författare :Daniel Bergh; David Rydh; Dan Edidin; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Algebraic stacks; Destackification; Grothendieck ring; Motive; Torus; Classifying stack; Mathematics; matematik;

    Sammanfattning : This thesis consists of three articles treating topics in the theory of algebraic stacks. The first two papers deal with motivic invariants. In the first, we show that the class of the classifying stack BPGLn is the inverse of the class of PGLn in the Grothendieck ring of stacks for n ≤ 3. LÄS MER

  4. 3. On the Picard Group of Integer Group Rings

    Författare :Ola Helenius; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Picard group; Grothendieck group; integer group ring; cyclic group; cyclotomic field; class group; Kummer´s lemma; semi-regular prime; Picard group;

    Sammanfattning : .... LÄS MER

  5. 4. N-complexes and Categorification

    Författare :Djalal Mirmohades; Volodymyr Mazorchuk; Steffen Oppermann; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Homological algebra; Category theory; Triangulated categories; K-theory; Hopfological algebra; Mathematics; Matematik;

    Sammanfattning : This thesis consists of three papers about N-complexes and their uses in categorification. N-complexes are generalizations of chain complexes having a differential d satisfying dN = 0 rather than d2 = 0. Categorification is the process of finding a higher category analog of a given mathematical structure. LÄS MER

  7. 5. On Amoebas and Multidimensional Residues

    Författare :Johannes Lundqvist; Mats Andersson; Martín Sombra; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; amoeba; multidimensional residue; duality principle; effective; uniform; Artin-Rees; Ronkin function; Mathematics; matematik;

    Sammanfattning : This thesis consists of four papers and an introduction. In Paper I we calculate the second order derivatives of the Ronkin function of an affine polynomial in three variables. This gives an expression for the real Monge-Ampére measure associated to the hyperplane amoeba. LÄS MER