We propose a precise formula relating the height of certain diagonal cycles on the product of unitary Shimura varieties and the central derivative of some tensor product -functions. This can be viewed as a refinement of the arithmetic Gan–Gross–Prasad conjecture. We use the theory of arithmetic theta lifts to prove some endoscopic cases of it for .
"Arithmetic theta lifts and the arithmetic Gan–Gross–Prasad conjecture for unitary groups." Duke Math. J. 168 (1) 127 - 185, 15 January 2019. https://doi.org/10.1215/00127094-2018-0039