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AbstractLan-Sheng-Zuo established the Hitchin-Simpson correspondence in characteristic p. In this correspondence, semistable graded Higgs bundles with vanishing chern classes are related to crystalline representations with the help of periodic Higgs-de Rham flow. In this talk, we will give the construction of Higgs-de Rham flows for principal bundles and discuss the existence of such flows unde...
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