Proves independence of locally analytic vectors from G and G_b actions in dual infinite-level local Shimura varieties and deduces commutation properties for the p-adic Jacquet-Langlands functor plus isomorphism of de Rham cohomologies.
Solid locally analytic representations of \(p\) -adic Lie groups
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Computes the geometric Sen operator on arbitrary Shimura varieties via equivariant bundles and the Hodge-Tate period map, yielding rational vanishing of completed cohomology.
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A Jacquet-Langlands functor for $p$-adic locally analytic representations
Proves independence of locally analytic vectors from G and G_b actions in dual infinite-level local Shimura varieties and deduces commutation properties for the p-adic Jacquet-Langlands functor plus isomorphism of de Rham cohomologies.
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Locally analytic completed cohomology
Computes the geometric Sen operator on arbitrary Shimura varieties via equivariant bundles and the Hodge-Tate period map, yielding rational vanishing of completed cohomology.