The local Langlands conjecture for GSp(4)

2011/04/28 by Wee Teck Gan, Shuichiro Takeda · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Mathematics #Conjecture #Langlands program #Zero (linguistics) #Langlands dual group #Pure mathematics #Linguistics

paper · pdf · doi:10.4007/annals.2011.173.3.12

openalex publication_date 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

We prove the local Langlands conjecture for GSp 4 (F ) where F is a nonarchimedean local field of characteristic zero.

Citations

• Theta correspondences for GSp(4)
• On the local theta-correspondence
• Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique
• Foundations of Differentiable Manifolds and Lie Groups
• A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups
• The Local Langlands Conjecture for Sp(4)

Cited by

• Towards a theory of local Shimura varieties
• p-adic rigidity for GSp₄
• Local Langlands conjectures [wikipedia]