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            <title xml:lang="en">Isolation of cuspidal spectrum, with application to the Gan--Gross--Prasad conjecture</title>
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            <funder>The project leading to this publication of R. B.-P. has received funding from Excellence Initiativeof Aix-Marseille University-A*MIDEX, a French “Investissements d’Avenir” programme.</funder>
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            <idno type="halRefHtml">&lt;i&gt;Annals of Mathematics&lt;/i&gt;, 2021, 194 (2), &lt;a target="_blank" href="https://dx.doi.org/10.4007/annals.2021.194.2.5"&gt;&amp;#x27E8;10.4007/annals.2021.194.2.5&amp;#x27E9;&lt;/a&gt;</idno>
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              <p>We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet--Rallis relative trace formula, we complete the proof of the global Gan--Gross--Prasad conjecture and its refinement Ichino--Ikeda conjecture for $\mathrm{U}(n)\times\mathrm{U}(n+1)$ in the stable case.</p>
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