SPEAKER:  Chao Li (Columbia University)

TITLE:  On the Kudla-Rapoport Conjecture

ABSTRACT:  The Kudla-Rapoport conjecture predicts a precise identity between the arithmetic intersection numbers of special cycles on unitary Rapoport-Zink spaces and 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.