Introduces solid locally analytic representations of p-adic Lie groups with category equivalences to modules and sheaves, generalizing classical results and extending cohomological comparisons.
Lectures on C ondensed M athematics
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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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Solid locally analytic representations
Introduces solid locally analytic representations of p-adic Lie groups with category equivalences to modules and sheaves, generalizing classical results and extending cohomological comparisons.