Proves relative p-adic monodromy theorem over dense open set and equivalence to Newton polygon constancy near rank-1 points for de Rham local systems, plus extension of conjecture to Newton partition interiors.
Math.140(2000), 1–43
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Generalizes the perfectoid method to construct overconvergent automorphic sheaves whose global sections are overconvergent Siegel modular forms and establishes an explicit overconvergent Eichler-Shimura morphism.
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p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy
Proves relative p-adic monodromy theorem over dense open set and equivalence to Newton polygon constancy near rank-1 points for de Rham local systems, plus extension of conjecture to Newton partition interiors.
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Perfectoid overconvergent Siegel modular forms and the overconvergent Eichler--Shimura morphism
Generalizes the perfectoid method to construct overconvergent automorphic sheaves whose global sections are overconvergent Siegel modular forms and establishes an explicit overconvergent Eichler-Shimura morphism.