• Corpus ID: 2338737

Gauge Theory and Langlands Duality

  title={Gauge Theory and Langlands Duality},
  author={Edward Vladimir Frenkel},
  journal={arXiv: Representation Theory},
  • E. Frenkel
  • Published 15 June 2009
  • Mathematics
  • arXiv: Representation Theory
The Langlands Program was launched in the late 60s with the goal of relating Galois representations and automorphic forms. In recent years a geometric version has been developed which leads to a mysterious duality between certain categories of sheaves on moduli spaces of (flat) bundles on algebraic curves. Three years ago, in a groundbreaking advance, Kapustin and Witten have linked the geometric Langlands correspondence to the S-duality of 4D supersymmetric gauge theories. This and subsequent… 
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