On the Kudla-Rapoport conjecture

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, September 3, 2019 - 4:15pm
Location: 
LOM 205
Speaker: 
Chao Li
Speaker affiliation: 
Columbia University
Event description: 

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.