Let X be a smooth p-adic formal scheme over OK with adic generic fibre X. We obtain a
global equivalence between the category Vect.. X/¡; xO¡ Œ 1 p/of rational Hodge–Tate …

We describe the category of continuous semilinear representations and their cohomology for
the Galois group of a $ p $-adic field $ K $ with coefficients in a completed algebraic closure …

For any rigid space over a perfectoid extension of $\mathbb Q_p $ that admits a liftable
smooth formal model, we construct an isomorphism between the moduli stacks of Hitchin …

We prove that a Hodge--Tate prismatic crystal on (O_K) _ {\Prism} is uniquely determined by
a topologically" nilpotent" operator. Using this operator, we construct a C_p-representation …

Let $ X $ be a quasi-compact quasi-separated $ p $-adic formal scheme that is smooth
either over a perfectoid $\mathbb {Z} _p $-algebra or over some ring of integers of a $ p …

Let $\mathcal {O} _K $ be a mixed characteristic complete discrete valuation ring with perfect
residue field. We classify de Rham crystals over the (log-) prismatic site of $\mathcal {O} _K …

Let $ X=\mathrm {Spf}(\mathcal {O} _K) $. We classify perfect complexes of $ n $-truncated
prismatic crystals on the prismatic site of $ X $ when $ n\leq 1+\frac {p-1}{e} $ by studying …

Let $\calO_K $ be a complete discrete valuation ring of mixed characteristic $(0, p) $ with a
perfect residue field. In this paper, for a semi-stable $ p $-adic formal scheme $\frakX $ over …

We systematically study relative and absolute ${\Delta} _ {\mathrm {dR}}^+ $-crystals on the
(log-) prismatic site of a smooth (resp.~ semi-stable) formal scheme. Using explicit …

We study de Rham prismatic crystals on. We show that a de Rham crystal is controlled by a
sequence of matrices {A m, 1} m≥ 0 with A 0, 1 “nilpotent”. Using this, we prove that the …