Rigidity in automorphic representations and local systems

2014/05/13 by Zhiwei Yun, Yun, Zhiwei · 2 citations
Mathematics · #11F70 #14D24 #14F05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1405.3035

openalex publication_date 2014/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of rigidity for automorphic representations of groups over global function fields. We construct the Langlands parameters of rigid automorphic representations explicitly as local systems over open curves. We expect these local systems to be rigid. Examples of rigid automorphic representations from previous work are reviewed and more examples for GL₂ are discussed in details.

Citations

• Enhanced six operations and base change theorem for higher Artin stacks
• Epipelagic representations and rigid local systems

Cited by

• Graphs of Hecke operators in mixed ramification
• Finite Langlands correspondence

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