On the Kudla-Rapoport conjecture

On the Kudla-Rapoport conjecture

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Chao Li, Columbia University

Please note that this seminar will take place online via Zoom. You can connect to this seminar via the following link and password:

https://theias.zoom.us/j/959183254

Password: the three digit integer that is the cube of the sum of its digits

The Kudla-Rapoport conjecture predicts a precise identity between the arithmetic intersection number of special cycles on unitary Rapoport-Zink spaces and the derivative of local representation densities of hermitian forms. It is a key local ingredient to establish the arithmetic Siegel-Weil formula and the arithmetic Rallis inner product formula, relating the height of special cycles on Shimura varieties to the derivative of Siegel Eisenstein series and L-functions. We will motivate this conjecture, explain a proof and discuss global applications.

This is joint work with Wei Zhang.