Constructs p-adic weight spectral sequence for strictly semi-stable schemes over k[[t]] via arithmetic D-modules, with E1 terms from rigid cohomologies of closed fiber components and conjectural E∞ from nearby cycles over the bounded Robba ring.
Langlands correspondence for isocrystals and the existence of crystalline companions for curves , J
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$p$-Adic Weight Spectral Sequences of Strictly Semi-stable Schemes over Formal Power Series Rings via Arithmetic $\mathcal{D}$-modules
Constructs p-adic weight spectral sequence for strictly semi-stable schemes over k[[t]] via arithmetic D-modules, with E1 terms from rigid cohomologies of closed fiber components and conjectural E∞ from nearby cycles over the bounded Robba ring.