Sökning: "unitary Shimura varieties"

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

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

    Sammanfattning : 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. LÄS MER