Symmetric Drinfeld space and local Langlands correspondence. I

DOI10.1007/s00209-014-1335-1zbMath1341.11021OpenAlexW2033737522MaRDI QIDQ484349

Haoran Wang

Publication date: 7 January 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-014-1335-1

zbMATH Keywords

Drinfeld modular curvesShimura curvesLanglands correspondenceétale coverings\(p\)-adic fieldsupercuspidalJacquet-Langlands correspondenceDrinfeld symmetric spacerigid analytic spaceWeil-Deligne representation

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Modular forms associated to Drinfel'd modules (11F52) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (4)

Drinfeld symmetric space and local Langlands correspondence. II ⋮ Symmetric Drinfeld space and local Langlands correspondence. I ⋮ On the cohomology of the compactification of the Deligne-Lusztig varieties ⋮ Le cristal de Dieudonné des schémas en $\mathbb{F}$-vectoriels

Cites Work

• Symmetric Drinfeld space and local Langlands correspondence. I
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