Research on p-adic Hodge theory with arithmetic D-modules

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Takeshi Tsuji studied p-adic Hodge theory for p-adic perverse sheaves on a poper smooth algebraic variety with good reduction over a p-adic field, and generalized the notion of crystalline sheaves for local systems to perverse sheaves whose singular locus lies on a simple normal crossing divisor. He also studied the weight spectral sequence of p-adic cohomology constructed from nearby cycles D-modules, and proved its functoriality and its compatibility with duality, Frobenius automorphisms, and algebraic correspondences.