Induction equivalence for equivariant 𝒟-modules on rigid analytic spaces

DOI10.1090/ert/642zbMath1527.14057arXiv2009.02981OpenAlexW4376867169MaRDI QIDQ6161721

Konstantin Ardakov

Publication date: 5 June 2023

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02981

zbMATH Keywords

Beilinson-Bernstein localisationrigid analytic spaceslocally analytic representations\(\mathcal{D} \)-modules

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Rigid analytic geometry (14G22)

Cites Work

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• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Irreducible components of rigid spaces
• Local constancy in \(p\)-adic families of Galois representations
• Algebras of \(p\)-adic distributions and admissible representations
• Rigid analytic geometry and its applications
• Banach space representations and Iwasawa theory
• \(\widehat{\mathscr{D}}\)-modules on rigid analytic spaces. I.
• Zariskian filtrations
• Formal and rigid geometry. III: The relative maximum principle
• Points and topologies in rigid geometry
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Points of rigid analytic varieties.
• Duality for Lie-Rinehart algebras and the modular class
• Bounded linear endomorphisms of rigid analytic functions
• \wideparen{𝒟}-modules on rigid analytic spaces II: Kashiwara’s equivalence
• Equivariant $\mathcal D$-modules on rigid analytic spaces
• LOCALLY ANALYTIC CUSPIDAL REPRESENTATIONS FOR $\mathrm{GL}_2$ AND RELATED GROUPS
• Differential Forms on General Commutative Algebras
• \(p\)-adic Fourier theory