Very promising, although the jury is still out: "The new paper is 77 pages long, and it will take time for mathematicians to check it carefully. But many feel o

Very promising, although the jury is still out: "The new paper is 77 pages long, and it will take time for mathematicians to check it carefully. But many feel optimistic that it is correct. “It really looks the way a proof of this result should look,” said Katz, whose earlier work laid much of the groundwork for this new result."