6 problems

Let $Z$ be as in paragraph A16, let $X$ be the corresponding variety, and suppose that $x,y$ are $Z$-points of $X$. Let $s_\mathfrak{p}^*$ denote the specialization functor to the…

The twisted exceptional zero conjecture. For every such $\chi$,

Let $E/\mathbb{Q}$ have split multiplicative reduction at a prime $p$, put $G_p=\left(\mathbb{Z}/p\mathbb{Z}\right)^*/\langle-1\rangle$, and let $\lambda(a,p)$ be the even modular…

Homogeneous-space p-adic Grothendieck period conjecture. The variety $\mathcal H_M$ is irreducible and

The p-adic period conjecture. For every open integer scheme $Z$, the period map $\operatorname{per}_{\pf}\colon A(Z)\to\mathbb{Q}_p$ is injective. This is presented as a $p$-adic a…

Period conjecture. For every integer $n$,