Sure, but the fact that one can play "six degrees of Kevin Bacon" with Wikipedia and get from Langlands to mirror symmetry is not evidence one problem is actual

Sure, but the fact that one can play "six degrees of Kevin Bacon" with Wikipedia and get from Langlands to mirror symmetry is not evidence one problem is actually the other in disguise. Already at the first link, it's unclear that resolving the usual Langlands program would say anything about geometric Langlands.