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Number Theory Seminar

Thursday, October 17, 2019
4:00pm to 6:00pm
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Linde Hall 387
On the Kudla-Rapoport conjecture
Chao Li, Department of Mathematics, Columbia University,

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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