First, what a fascinating article on a truly exciting prospect!<p>Second, I hope that at some point, it will be explained further what the differences between the 'original', 'arithmetic', and 'geometric' Langlands programs are. I'm not entirely sure which objects are which here, and I think such an explanation will be illuminating for the reader (especially if the Langlands dualities or programs continue to be fruitful and multiply into yet more regions of math).<p>Third, I wish the authors and reviewers the very best of luck reviewing 451 pages of manuscript, which just on the face of it sounds like a daunting task.<p>Fourth, I hope to hear further updates on this as mathematicians chew this news and this work over.