We survey recent developments on generalizing the Gross--Zagier formula to high dimensional Shimura varieties, with an emphasis on the Arithmetic Gan--Gross--Prasad conjecture and the relative trace formula approach.

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Wei Zhang (Tue,) studied this question.

synapsesocial.com/papers/68e77797b6db6435876ec112 https://doi.org/https://doi.org/10.48550/arxiv.2402.17656

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1The Gross-Zagier formula on singular moduli for Shimura curves2025
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1The Gross-Zagier formula on singular moduli for Shimura curves2025
2Arithmetic Gan–Gross–Prasad conjecture for RSZ unitary Shimura curves2024
3The Gross--Kohnen--Zagier theorem via $p$-adic uniformization2024
4The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups I: Coarse expansions of the relative trace formulae2024 · 1 citations
5The local Gan-Gross-Prasad conjecture for general spin groups2026