General Horizontal Norm Compatible Systems on unitary Shimura varieties

Abstract

The ultimate goal of the paper is to construct a novel norm-compatible family of cycles appearing in the context of Gross--Gan--Prasad cycles arising from Shimura varieties attached to $U(n-1,1)\hookrightarrow U(n,1)\times U(n-1,1)$ for arbitrary $n$.

54 pages, 1 figure

References in corpus (2)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Horizontal Distribution Relations for Special Cycles on Unitary Shimura Varieties: Split Case