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...
AbstractConsider a conic bundle over a smooth incomplete curve C, i.e. a smooth surface S with a proper surjective morphism to C such that the push-forward of the structure sheaf of S coincides with the structure sheaf of C, and the anticanonical class of S is ample over C. If the base field is perfect, a conic bundle always extends to a conic bundle over a completion of C. I will tell about a ...
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