Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The Langlands Correspondence in Physics

  1. Aug 20, 2008 #1
    Does anybody understand how to put quantum field theory in terms of the geometric Langlands program? I'm kind of reading Witten's paper Quantum Field theory, Grassmanians, and algebraic curves. Also, the more recent work of Connes shows that his group of diffeographisms is motivic galois group. I have not read Witten and Kapustins mammoth paper. Any ideas about Langlands in physics? Teach me what you know. Mind you, my knowledge is very physics based so if you can't explain in physicsy terms what the ring of adele's is you might lose me.
  2. jcsd
  3. Aug 20, 2008 #2
    No. Nobody does. Indeed, that's rather like asking "Does anybody have a verifiable theory of quantum gravity?"
  4. Aug 21, 2008 #3


    User Avatar

    Why geometric Langlands? Classical Langlands might be more relevant than the kind of continuum geometry that is studied as a result of, say, string theory prejudices.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: The Langlands Correspondence in Physics