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I really recommend this wonderful talk in our “Math in the age of AI” seminar by Danny Calegari :

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The ABC conjecture has still not been proved

Five years ago, Cathy O’Neil laid out a perfectly cogent case for why the (at that point recent) claims by Shinichi Mochizuki should not (yet) be regarded as constituting a proof of the ABC conjecture. I have nothing further to add on the sociological aspects of mathematics discussed in that post, but I just wanted to…