Lectures on the Langlands Program and Conformal Field Theory

2007/07/17 by Edward Frenkel · 6 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Automorphic form #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Duality (order theory) #Gauge theory #Geometry #Langlands dual group #Langlands program #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #S-duality #String theory #Theoretical physics

paper · doi:10.1007/978-3-540-30308-4_11

openalex publication_date 2007/07/17 · crossref created 2007/07/17 · crossref deposited 2020/11/19 · openalex created_date 2025/10/10 · crossref indexed 2026/04/06 · openalex updated_date 2026/07/21

Citations

• Problems in the theory of automorphic forms to Salomon Bochner in gratitude
• The Self-Duality Equations on a Riemann Surface
• Etale Cohomology and the Weil Conjecture
• Notes on 2D Conformal Field Theory and String Theory
• The KZB equations on Riemann surfaces
• Moduli of connections with a small parameter on a curve
• Transformation de Fourier generalisee
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• The analytic geometry of two-dimensional conformal field theory
• Current algebra and Wess-Zumino model in two dimensions
• Gauge theories and magnetic charge
• Quantum field theory and the Jones polynomial
• Transformation de Fourier, constantes d'équations fonctionnelles et conjecture de Weil
• Infinite conformal symmetry in two-dimensional quantum field theory
• Ring-Theoretic Properties of Certain Hecke Algebras
• Fock representations of the affine Lie algebraA 1 (1)
• THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Zn SYMMETRY
• Modular Elliptic Curves and Fermat's Last Theorem
• Sheaves on Manifolds
• Tensionless strings, WZW models at critical level and massless higher spin fields
• Galois representations and modular forms
• Non-abelian bosonization in two dimensions
• Mirror symmetry, Langlands duality, and the Hitchin system

Cited by

• Harmonic Cheeger–Simons characters with applications
• Argyres-Douglas theories, chiral algebras and wild Hitchin characters
• Quantum geometric Langlands correspondence in positive characteristic: The GLN case
• Equivariant K-theory of compact Lie groups with involution
• On AGT description of N = 2 SCFT with N f = 4
• S-duality [wikipedia]