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The notion Higgs-de Rham flow has been invented in a recent paper by Lan-Sheng-Zuo mainly to establish a p-adic correspondence between crystalline etale local sysyems and periodic Higgs bundles，which is a p-adic analogue of Yang-Mills-Higgs flow and has found other applications in Algebraic Geometry and Arithmitic Geometry. In a recent paper with G-T. Lan and M. Sheng we have found some non-trivial applications in the study of Hodge conjecture: An isomorphism between two irreducble Betti-local systems (Betti realization) coming from the Geometry induces an isomorphism between the corresponding crystalline-local systems (crystalline realization) over infinite many prime places. | 
