Analysis of information sources in references of the Wikipedia article "Langlands program" in English language version.
All this stuff, as my dad put it, is quite heavy: we've got Hitchin moduli spaces, mirror symmetry, A-branes, B-branes, automorphic sheaves... One can get a headache just trying to keep track of them all. Believe me, even among specialists, very few people know the nuts and bolts of all elements of this construction.
The Langlands Program is now a vast subject. There is a large community of people working on it in different fields: number theory, harmonic analysis, geometry, representation theory, mathematical physics. Although they work with very different objects, they are all observing similar phenomena.