The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.
Etale cohomology of diamonds
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Motivated by problems on the \'etale cohomology of Rapoport--Zink spaces and their generalizations, as well as Fargues's geometrization conjecture for the local Langlands correspondence, we develop a six functor formalism for the \'etale cohomology of diamonds, and more generally small v-stacks on the category of perfectoid spaces of characteristic $p$. Using a natural functor from analytic adic spaces over $\mathbb Z_p$ to diamonds which identifies \'etale sites, this induces a similar formalism in that setting, which in the noetherian setting recovers the formalism from Huber's book.
verdicts
UNVERDICTED 2representative citing papers
Proves relative p-adic monodromy theorem over dense open set and equivalence to Newton polygon constancy near rank-1 points for de Rham local systems, plus extension of conjecture to Newton partition interiors.
citing papers explorer
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A $p$-adic Simpson correspondence for singular rigid-analytic varieties
The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.
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p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy
Proves relative p-adic monodromy theorem over dense open set and equivalence to Newton polygon constancy near rank-1 points for de Rham local systems, plus extension of conjecture to Newton partition interiors.