Absolute de Rham prismatic crystals on smooth or semi-stable formal schemes are classified by small enhanced connections and by small B+dR-local systems, via a new analytic Sen theory over the Kummer tower.
T he small p -adic S impson correspondence in terms of moduli spaces
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Prismatic crystals and $p$-adic Riemann--Hilbert correspondence
Absolute de Rham prismatic crystals on smooth or semi-stable formal schemes are classified by small enhanced connections and by small B+dR-local systems, via a new analytic Sen theory over the Kummer tower.