Contents/conteúdo

Mathematics Department Técnico Técnico

Summer Lectures in Geometry  RSS

Sessions

11/09/2008, 15:00 — 16:00 — Amphitheatre Pa1, Mathematics Building
, California Institute of Technology

Gauge Theory and the Geometric Langlands Program - II

Recently, it has been shown that Geometric Langlands duality is closely related to properties of quantized supersymmetric Yang-Mills theory in four dimensions, as well as to Mirror Symmetry and Topological Field Theory. I will provide an introduction to these developments.

Literature

  • A. Kapustin and E. Witten, Electric-Magnetic Duality and the Geometric Langlands Program, hep-th/0604151
  • S.Gukov and E. Witten, Gauge Theory, Ramification, and the Geometric Langlands Program, hep-th/0612173
  • A. Kapustin, Holomorphic reduction of \(N=2\) gauge theories, Wilson-'t Hooft operators, and S-duality, hep-th/0612119.

For some background, the following papers are very useful:

  • E. Witten, Topological Quantum Field Theory, Commun. Math. Phys. 117 (1988) 353.
  • E. Witten, Mirror manifolds and Topological Field Theory, hep-th/9112056.

For detailed overviews of each course see https://camgsd.tecnico.ulisboa.pt/encontros/slg/.

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