6 problems

Let $\Lambda$ be the Iwasawa algebra of the relevant $p$-adic Lie group, let $\widetilde\Lambda$ be its unramified coefficient extension, and let $\mathbb T$ be the associated big…

Let $(R,T,\zeta)$ be a triple as in the paper's setup, where $T$ is an $R$-representation of $G_{\mathbb Q_p}$ and $\zeta$ is a $\mathbb Z_p$-basis of…

Nakayama's local epsilon conjecture. There exists an isomorphism

Nakamura's conjecture. For every such $M$, there exists an isomorphism

Let $S$ be a finite set of places containing $p$, let $T$ be an $R$-representation of $G_{\mathbb{Q},S}$, and let $T^*$ denote its relevant dual. Let…

Fix a prime $l$. For a coefficient ring $R$, an $R$-representation $T$ of $G_{\mathbb{Q}_l}$, and a $\mathbb{Z}_l$-basis $\zeta$ of…