Compatibility of the theta correspondence with the Whittaker functors

DOI10.24033/bsmf.2600zbMath1220.22016arXiv0902.0051OpenAlexW2963953204MaRDI QIDQ3169207

Sergey Lysenko, Vincent Lafforgue

Publication date: 28 April 2011

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0051

zbMATH Keywords

theta-liftingWhittaker functorgeometric Langlands conjecture

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Langlands-Weil conjectures, nonabelian class field theory (11R39) Geometric Langlands program: representation-theoretic aspects (22E57)

Related Items (2)

Langlands Program, trace formulas, and their geometrization ⋮ Geometrization of trace formulas

Cites Work

• The six operations for sheaves on Artin stacks. II: Adic coefficients
• On the geometric Langlands conjecture
• Moduli of metaplectic bundles on curves and Theta-sheaves
• Geometric theta-lifting for the dual pair $\mathbb{SO}_{2m}, \mathbb{S}\mathrm{p}_{2n}$
• Geometric Waldspurger periods

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