Abstract
We study a partially linearized version of the relative trace formula for the arithmetic Gan--Gross--Prasad conjecture for the unitary group $\mathrm{U}(V)$. The linear factor in this relative trace formula provides an $\mathrm{SL}_2$-symmetry which allows us to prove by induction the arithmetic fundamental lemma over $\mathbb{Q}_p$ when $p$ is odd and $p\geq \mathrm{dim}\ V$.
Citation
Wei Zhang. "Weil representation and Arithmetic Fundamental Lemma." Ann. of Math. (2) 193 (3) 863 - 978, May 2021. https://doi.org/10.4007/annals.2021.193.3.5
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