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.
Research Area(s):