Title: On the Kudla-Rapoport conjecture I
Speaker: On the Kudla-Rapoport conjecture I (Columbia University)
Time: 2019-7-10, 10:00-11:30
Place: MCM610
Abstract: The Kudla-Rapoport conjecture predicts a precise identity between the arithmetic intersection numbers of special cycles on unitary Rapoport-Zink spaces and the derivatives of local representation densities of hermitian forms. It is a key local ingredient to establish the arithmetic Siegel-Weil formula, relating the height of generating series of special cycles on Shimura varieties to the derivative of Eisenstein series. We discuss a proof of this conjecture and global applications. This is joint work with Wei Zhang.
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