Diamonds in the Langlands program: a comprehensive review

DOI10.1007/S11139-024-00899-2MaRDI QIDQ6612398

Shanna Dobson

Publication date: 30 September 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

diamondperfectoid space\(v\)-stackgeometrization of local Langlands

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Geometric Langlands program (algebro-geometric aspects) (14D24) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• The isomorphism between Lubin-Tate and Drinfeld towers
• On torsion in the cohomology of locally symmetric varieties
• A generalization of formal schemes and rigid analytic varieties
• On the generic part of the cohomology of compact unitary Shimura varieties
• Perfectoid spaces
• \(p\)-adic Hodge theory for rigid-analytic varieties
• The pro-\'etale topology for schemes
• Gal(Qp/Qp) as a geometric fundamental group
• Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
• On the p-adic cohomology of the Lubin-Tate tower
• Basic Category Theory
• Berkeley Lectures on p-adic Geometry
• Higher Topos Theory (AM-170)

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