Two-dimensional \(\ell\)-adic representations of the Galois group of a global field of characteristic \(p\) and automorphic forms on \(\mathrm{GL}(2)\)

DOI10.1007/BF01104975zbMath0609.12010OpenAlexW2043279601MaRDI QIDQ1086621

Vladimir Drinfeld

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01104975

zbMATH Keywords

Weil group\(\ell\)-adic representationsLanglands conjectureadeleglobal field of positive characteristicautomorphic cuspidal representations

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite ground fields in algebraic geometry (14G15) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (3)

The Eisenstein quotient of the Jacobian variety of a Drin'feld modular curve. ⋮ Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems. ⋮ Quantum Hall effect and Langlands program

Cites Work

• Unnamed Item
• Expansion in the characteristic functions of the momentless problem in the case of axially symmetric oscillations of a thin shell
• Automorphic forms on GL (2)
• Two-Dimensional l-Adic Representations of the Fundamental Group of a Curve Over a Finite Field and Automorphic Forms on GL(2)

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