The authors develop twisting of Higgs modules via Higgs-Tate algebras that extends the p-adic Simpson correspondence to arbitrary pullbacks and proper (log)smooth direct images while recovering prior constructions as special cases.
P an,On locally analytic vectors of the completed cohomology of modular curves, Forum of Mathematics, Pi
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Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence
The authors develop twisting of Higgs modules via Higgs-Tate algebras that extends the p-adic Simpson correspondence to arbitrary pullbacks and proper (log)smooth direct images while recovering prior constructions as special cases.