3 problems

Refined twisted Gan–Gross–Prasad formula. One has

Let $F$, $\mathbb{A}$, $V_n$, $V_{n+1}$, $\operatorname{SO}_n$, and $\operatorname{SO}_{n+1}$ be as above, and let…

Let $F$ be a number field, let $E/F$ be a quadratic extension, and let $G=U(W)\times U(V)$ with $H=U(W)$ diagonally embedded, as in the global Gan–Gross–Prasad setting. Let $\pi$ b…