Defines rational analytic syntomification X^Syn for rigid-analytic varieties over Q_p, establishes Poincaré duality and Chern classes, identifies its vector bundles with de Rham bundles on the Fargues-Fontaine curve, and recovers classical p-adic Hodge comparisons.
Geometrization of the real local L anglands correspondence, 2024
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Rational analytic syntomic cohomology
Defines rational analytic syntomification X^Syn for rigid-analytic varieties over Q_p, establishes Poincaré duality and Chern classes, identifies its vector bundles with de Rham bundles on the Fargues-Fontaine curve, and recovers classical p-adic Hodge comparisons.