An arithmetic intersection conjecture

Abstract

We survey recent joint work with M. Rapoport and W. Zhang related to the arithmetic Gan-Gross-Prasad conjecture for Shimura varieties attached to unitary groups.

Minor revisions, including correcting a compiling error in the references. 17 pages. Contributed to the Proceedings of the First Annual Meeting of the ICCM

References in corpus (5)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• On the arithmetic transfer conjecture for exotic smooth formal moduli spaces
• Arithmetic diagonal cycles on unitary Shimura varieties
• Periods, cycles, and $L$-functions: a relative trace formula approach
• Good and semi-stable reductions of Shimura varieties