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.