Commentary on “An elementary introduction to the Langlands Program” by Stephen Gelbart

DOI10.1090/S0273-0979-2011-01347-7zbMath1277.11001OpenAlexW2091931880MaRDI QIDQ3094412

Edward V. Frenkel'

Publication date: 25 October 2011

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-2011-01347-7

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of number theory (11-03) Langlands-Weil conjectures, nonabelian class field theory (11R39) Geometric Langlands program: representation-theoretic aspects (22E57) Geometric Langlands program (algebro-geometric aspects) (14D24)

Cites Work

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• Singularities and transfer
• The fundamental lemma for Lie algebras
• Electric-magnetic duality and the geometric Langlands program
• Correspondance de Langlands géométrique pour les corps de fonctions. (Geometric Langlands correspondence for function fields)
• Drinfeld shtukas and Langlands correspondence.
• On a vanishing conjecture appearing in the geometric Langlands correspondence
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• On the geometric Langlands conjecture
• Gauge Theory and Langlands Duality
• Two-Dimensional l-Adic Representations of the Fundamental Group of a Curve Over a Finite Field and Automorphic Forms on GL(2)
• Recent advances in the Langlands Program
• Problems in the theory of automorphic forms to Salomon Bochner in gratitude

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