The proof apparently rests on an entirely new (not yet vetted) branch of number theory developed by the proof's author, "Inter-universal Teichmüller Theory". 45

The proof apparently rests on an entirely new (not yet vetted) branch of number theory developed by the proof's author, "Inter-universal Teichmüller Theory". 45-page overview linked: http://www.kurims.kyoto-u.ac.jp/%7Emotizuki/Panoramic%20Overview%20of%20Inter-universal%20Teichmuller%20Theory.pdf http://www.kurims.kyoto-u.ac.jp/%7Emotizuki/Panoramic%20Over...