A $p$-adic Riemann--Hilbert correspondence over Robba rings

Zekun Chen, Ruochuan Liu, Yupeng Wang +2

We construct overconvergent period sheaves $\mathcal{O}{\tilde{\mathbb{C}}}^{I,†}$ and $\mathcal{O}{\mathbb{B}}_{\mathrm{dR}}^{†,+}$ on the $v$-site of a liftable semi-…