4 problems

Let $E$ be an elliptic curve over $F$, let $F^{\mathrm{cyc}}$ be its cyclotomic extension, and write … For a choice of signs $\overrightarrow{s}$ at the relevant supersingular prim…

Let $M$ be a pure simple motive over $\mathbf Q$ of weight $w\leqslant -1$, with $M\neq\mathbf Q(m)$ for every $m\in\mathbf Z$. Let $V$ be its semistable $p$-adic realization and l…

Let $V$ be a $p$-adic representation of $G_{\mathbf Q,S}$ that is potentially semistable at $p$, let $T$ be a stable lattice in $V$, and let $F_\infty$ be the cyclotomic extension…

Let $M/\mathbf Q$ be a pure motive of weight $\leqslant -1$ which does not contain submotives of the form $\mathbf Q(m)$. Let $V$ be its $p$-adic realisation satisfying conditions…