Why A Clash Between Titans is Ripping Mathematics Apart

Listen to 100s of Science Documentaries on Turing for Free. CHeckout the App at iOS: https://apps.apple.com/in/app/the-turing-app/id6752724106 Android: https://play.google.com/store/apps/details?id=com.theturingapp.turing&hl=en or listen at https://theturingapp.com TIMESTAMPS: 00:00 - The Proof That is Only True in Japan 02:03 - The abc Conjecture Explained 05:22 - Mochizuki’s Inter-universal Teichmüller (IUT) Theory 07:52 - The Flaw at Corollary 3.12 (Scholze vs. Mochizuki) 12:42 - The Digital Arbiter For over a decade, mathematicians have been locked in a cold war over the abc conjecture. Proposed in 1985, this deceptively simple equation (a + b = c) holds the key to the deepest relationship between the addition and multiplication of prime numbers. A verified proof of the abc conjecture would instantly unlock a cascade of mathematical breakthroughs, offering a more elegant proof for Fermat’s Last Theorem, settling the Mordell conjecture, and revolutionizing arithmetic geometry. But in 2012, Kyoto University's Shinichi Mochizuki dropped a 500-page bombshell: Inter-universal Teichmüller theory (IUT). To some, it is a revolutionary new mathematical universe. To others, it is an impenetrable, unverified language. We break down the absolute chaos of this scientific schism. ----------- Turing is a leading publisher of popular science books. Check out our collection on Amazon: https://www.amazon.com/stores/Turing-Editorial-Team/author/B0GVXKMGGJ/allbooks?ccs_id=4637a82d-44e3-49b7-92d6-ed1aec5fe06b Apple Books: https://books.apple.com/us/author/turing-editorial-team/id1895369034?see-all=books ---------------- Check out our Series of weekly podcasts on the wonders of Science Adventures into Chemistry Spotify: https://open.spotify.com/show/0kqIbkcrhuzFPf5rgRDPkQ?si=88693d8c97934fc6 Apple Podcasts: https://podcasts.apple.com/us/podcast/adventures-into-chemistry/id1801975450 Beyond Proof: Stories in Maths Spotify: https://open.spotify.com/show/0EJXj5CF6wqE79WTwpYKGr?si=a429edd3979b4429 Apple Podcasts: https://podcasts.apple.com/us/podcast/beyond-proof-stories-in-mathematics/id1881693625 Mavericks of Science: Meet the most influential and groundbreaking contemporary researchers Spotify: https://open.spotify.com/show/48c6VqsI8vtH9D2W5MYXfG?si=acc3565470d246ef Apple Podcasts: https://podcasts.apple.com/us/podcast/mavericks-of-science/id1875688838 Million Dollar Problems of Mathematics: Legendary, unsolved puzzles that have baffled the world's sharpest minds, using Everyday Language Spotify: https://open.spotify.com/show/1dHIDxANHtjJtVzITrOwYM?si=8e7b302f198548ac Apple Podcasts: https://podcasts.apple.com/us/podcast/million-dollar-problems-of-mathematics/id1796668358 Mysteries of the Universe: Questions that keep astrophysicists awake at night Spotify: https://open.spotify.com/show/53cFFxbShCGjYBKFFUayNq?si=d47ed62f389c4f8b Apple Podcasts: https://podcasts.apple.com/us/podcast/what-would-worlds-largest-telescope-find/id1796678795?i=1000768443430 Planet Earth: Science of Climate and Earth Spotify: https://open.spotify.com/show/4HRLQiQJ6GUgJs6wotO3xn?si=b99ce74037534f28 Apple Podcasts: https://podcasts.apple.com/us/podcast/planet-earth/id1886256155 Quarks to Cosmos: Journey Inside the Atom to the Far End of Cosmos Spotify: https://open.spotify.com/show/0OtvBwq0GA0SGijgF2GZYv?si=4a2d444aadd94121 Apple Podcasts: https://podcasts.apple.com/us/podcast/quarks-to-cosmos/id1809992176 Realm of Quantum Mechanics Spotify: https://open.spotify.com/show/3ESCY4B2HB03ZpZJB5J6Y9?si=462d90847a4a4077 Apple Podcasts: https://podcasts.apple.com/us/podcast/realm-of-quantum-mechanics/id1796673349 The Future of Medicine Spotify: https://open.spotify.com/show/7ioXdgkNuHThPc8p1DRHxk?si=ebcbfe9b417f48bb Apple Podcasts: https://podcasts.apple.com/us/podcast/the-future-of-medicine/id1793412323 The Science of Us: Biology, neuroscience, and psychology to unpack the machinery behind our daily experiences Spotify: https://open.spotify.com/show/28qepKUu83gGzPXtst5MeT?si=2c2a7aec570d4a54 Apple Podcasts: https://podcasts.apple.com/us/podcast/the-science-of-us/id1887044303 What the Tech: Foundational math and engineering underneath The Frontier Tech Spotify: https://open.spotify.com/show/41I3bea5v66iKTZdOglG0R?si=279f4848e6bd46eb Apple Podcasts: https://podcasts.apple.com/us/podcast/what-the-tech/id1887925458 Wild Origins: Nature, Animals and Us Spotify: https://open.spotify.com/show/0sdLh1dp4jT7WgGNSvzyVG?si=aa15e34f827446ab Apple Podcasts: https://podcasts.apple.com/us/podcast/wild-origins/id1881725041 #mathlegend #fieldsmedal #mathhistory