2 problems

Let $X_p$ be the $p$-adic symmetric space attached to an orthogonal group, and let $J_{\mathscr{D}}$ be a rigid meromorphic cocycle that can be evaluated at a suitable special poin…

Darmon-Greenberg-Liu algebraicity conjecture. The number $j$, which a priori belongs to $\mathbb{C}_p$, is algebraic for every special point $x\in X_p$ of the type described above.…