Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions

Using a relative trace formula approach, we prove the twisted global Gan-Gross-Prasad conjecture for $\mathrm{U}(V)\subseteq \mathrm{GL}(V)$, as well as its refinement, under some unramifiedness assumptions and local conditions on the quadratic extension and the automorphic representation.