Search for dissertations about: "unitary Shimura varieties"

Found 2 swedish dissertations containing the words unitary Shimura varieties.

  1. 1. Tautological rings of Shimura varieties

    Author : Simon Cooper; Wushi Goldring; Torsten Wedhorn; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Shimura varieties; Chow rings; automorphic vector bundles; matematik; Mathematics;

    Abstract : This licentiate thesis consists of two papers. In paper I the tautological ring of a Hilbert modular variety at an unramified prime is computed. The method of van der Geer in the case of A_{g} is extended to deal with the case of the Hilbert modular variety, which is more complicated. READ MORE

  2. 2. Some Cases of Kudla’s Modularity Conjecture for Unitary Shimura Varieties

    Author : Jiacheng Xia; Chalmers University of Technology; []
    Keywords : special cycles; Eisenstein series; spherical designs; central L-values; unitary Shimura varieties; Jacobi forms; rational points; generating functions; the circle method; Kudla s modularity conjecture; theta series; Rankin--Selberg method;

    Abstract : A common theme of the thesis is the interplay of symmetry and rigidity, which is a general phenomenon in mathematics. Symmetry is a notion related to the degree to which an object remains unchanged under transformations, and rigidity is a notion that in terms of physics can be thought of as a lack of freedom, which leads to stronger properties of an object than we normally expect. READ MORE