Part 6/9:
In June 1993, Wiles announced his proof at a conference at the Isaac Newton Institute in Cambridge. A blend of excitement and tension filled the air, punctuated by an electrifying silence as he read his proof, ultimately receiving rounds of applause. However, the journey was not over; the proof had to be thoroughly vetted.
Unfortunately, during this rigorous review process, a flaw in the argument was identified. Katz found a gap in the critical portion of Wiles's work involving the Kolyvagin-Flach method. Though a setback, Wiles remained determined, confident that he could resolve the issue.