The last couple months I’ve heard reports from several people claiming that arithmetic geometers Peter Scholze and Jakob Stix had identified a serious problem with Mochizuki’s claimed proof of the abc conjecture. These reports indicated that Scholze and Stix had traveled to Kyoto to discuss this with Mochizuki, and that they were writing a manuscript, to appear sometime this summer. It seemed best then to not publicize this here, better to give Mochizuki, Scholze and Stix the time to sort out the mathematics and wait for them to have something to say publicly. Today though I saw that Ivan Fesenko has put out a document entitled Remarks on Aspects of Modern Pioneering Mathematical Research.
Peter definitely predicted the Fields medal for Peter Scholze here.
The intrigue of this case is quite interesting. Take a look at some of the comments on these posts. Some border on religious zealotry, and even this when I know Peter heavily curates his comments section to make them useful.Syndicated copies to: