de Rham theory and locally analytic vectors

Hui Gao, Gal Porat, Léo Poyeton

Let $K_{\infty }/K$ be a $p$-adic Lie extension of a $p$-adic field $K$. We study the subring of pro-analytic vectors in the de Rham period ring ${\mathbf{B}}_{\mathrm{dR}}^{+}(K_{\infty })$…