Sökning: "automorphic representations"

Hittade 3 avhandlingar innehållade orden automorphic representations.

  1. 1. Automorphic forms and string theory: Small automorphic representations and non-perturbative effects

    Författare :Henrik Gustafsson; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; instantons; automorphic forms; automorphic representations; Eisenstein series; U-duality; non-perturbative effects; string theory;

    Sammanfattning : This compilation thesis stems from a project with the purpose of determining non-perturbative contributions to scattering amplitudes in string theory carrying important information about instantons, black hole quantum states and M-theory. The scattering amplitudes are functions on the moduli space invariant under the discrete U-duality group and this invariance is one of the defining properties of an automorphic form. LÄS MER

  3. 2. Some applications of representation theory in homogeneous dynamics and automorphic functions

    Författare :Samuel Charles Edwards; Andreas Strömbergsson; Henrik Schlichtkrull; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; automorphic functions; effective equidistribution; Eisenstein series; homogeneous dynamics; horospheres; lattices; Lie groups; representation theory; Mathematics; Matematik;

    Sammanfattning : This thesis consists of an introduction and five papers in the general area of dynamics and functions on homogeneous spaces. A common feature is that representation theory plays a key role in all articles. LÄS MER

  4. 3. Studies on boundary values of eigenfunctions on spaces of constant negative curvature

    Författare :Pierre Bäcklund; Andreas Juhl; Andreas Strömbergsson; Genkai Zhang; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Hyperbolic space; anti de Sitter space; spectral geometry; scattering theory; analysis on real and complex Lie groups; intertwining operators; Verma modules; analysis on homogeneous spaces; conformal differential geometry; Selberg zeta functions; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Sammanfattning : This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. LÄS MER