Terence Tao is widely considered to be one of the greatest mathematicians in history. He won the Fields Medal and the Breakthrough Prize in Mathematics, and has contributed to a wide range of fields from fluid dynamics with Navier-Stokes equations to mathematical physics & quantum mechanics, prime numbers & analytics number theory, harmonic analysis, compressed sensing, random matrix theory, combinatorics, and progress on many of the hardest problems in the history of mathematics. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep472-sb See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. *Transcript:* https://lexfridman.com/terence-tao-transcript *CONTACT LEX:* *Feedback* - give feedback to Lex: https://lexfridman.com/survey *AMA* - submit questions, videos or call-in: https://lexfridman.com/ama *Hiring* - join our team: https://lexfridman.com/hiring *Other* - other ways to get in touch: https://lexfridman.com/contact *EPISODE LINKS:* Terence's Blog: https://terrytao.wordpress.com/ Terence's YouTube: https://www.youtube.com/@TerenceTao27 Terence's Books: https://amzn.to/43H9Aiq *SPONSORS:* To support this podcast, check out our sponsors & get discounts: *Notion:* Note-taking and team collaboration. Go to https://lexfridman.com/s/notion-ep472-sb *Shopify:* Sell stuff online. Go to https://lexfridman.com/s/shopify-ep472-sb *NetSuite:* Business management software. Go to https://lexfridman.com/s/netsuite-ep472-sb *LMNT:* Zero-sugar electrolyte drink mix. Go to https://lexfridman.com/s/lmnt-ep472-sb *AG1:* All-in-one daily nutrition drink. Go to https://lexfridman.com/s/ag1-ep472-sb *OUTLINE:* 0:00 - Introduction 0:49 - First hard problem 6:16 - Navier–Stokes singularity 26:26 - Game of life 33:01 - Infinity 38:07 - Math vs Physics 44:26 - Nature of reality 1:07:09 - Theory of everything 1:13:10 - General relativity 1:16:37 - Solving difficult problems 1:20:01 - AI-assisted theorem proving 1:32:51 - Lean programming language 1:42:51 - DeepMind's AlphaProof 1:47:45 - Human mathematicians vs AI 1:57:37 - AI winning the Fields Medal 2:04:47 - Grigori Perelman 2:17:30 - Twin Prime Conjecture 2:34:04 - Collatz conjecture 2:40:50 - P = NP 2:43:43 - Fields Medal 2:51:18 - Andrew Wiles and Fermat's Last Theorem 2:55:16 - Productivity 2:57:55 - Advice for young people 3:06:17 - The greatest mathematician of all time *PODCAST LINKS:* - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips *SOCIAL LINKS:* - X: https://x.com/lexfridman - Instagram: https://instagram.com/lexfridman - TikTok: https://tiktok.com/@lexfridman - LinkedIn: https://linkedin.com/in/lexfridman - Facebook: https://facebook.com/lexfridman - Patreon: https://patreon.com/lexfridman - Telegram: https://t.me/lexfridman - Reddit: https://reddit.com/r/lexfridman

This is a clip from a podcast episode with Google CEO (Sundar Pichai).

Sundar Pichai is CEO of Google and Alphabet. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep471-sb See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. *Transcript:* https://lexfridman.com/sundar-pichai-transcript *CONTACT LEX:* *Feedback* - give feedback to Lex: https://lexfridman.com/survey *AMA* - submit questions, videos or call-in: https://lexfridman.com/ama *Hiring* - join our team: https://lexfridman.com/hiring *Other* - other ways to get in touch: https://lexfridman.com/contact *EPISODE LINKS:* Sundar's X: https://x.com/sundarpichai Sundar's Instagram: https://instagram.com/sundarpichai Sundar's Blog: https://blog.google/authors/sundar-pichai/ Google Gemini: https://gemini.google.com/ Google's YouTube Channel: https://www.youtube.com/@Google *SPONSORS:* To support this podcast, check out our sponsors & get discounts: *Tax Network USA:* Full-service tax firm. Go to https://lexfridman.com/s/tax_network_usa-ep471-sb *BetterHelp:* Online therapy and counseling. Go to https://lexfridman.com/s/betterhelp-ep471-sb *LMNT:* Zero-sugar electrolyte drink mix. Go to https://lexfridman.com/s/lmnt-ep471-sb *Shopify:* Sell stuff online. Go to https://lexfridman.com/s/shopify-ep471-sb *AG1:* All-in-one daily nutrition drink. Go to https://lexfridman.com/s/ag1-ep471-sb *OUTLINE:* 0:00 - Episode highlight 2:08 - Introduction 2:18 - Growing up in India 8:27 - Advice for young people 10:09 - Styles of leadership 14:29 - Impact of AI in human history 26:39 - Veo 3 and future of video 34:24 - Scaling laws 38:09 - AGI and ASI 44:33 - P(doom) 51:24 - Toughest leadership decisions 1:02:32 - AI mode vs Google Search 1:15:22 - Google Chrome 1:30:52 - Programming 1:37:37 - Android 1:42:49 - Questions for AGI 1:48:05 - Future of humanity 1:51:26 - Demo: Google Beam 1:59:09 - Demo: Google XR Glasses 2:01:54 - Biggest invention in human history *PODCAST LINKS:* - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips *SOCIAL LINKS:* - X: https://x.com/lexfridman - Instagram: https://instagram.com/lexfridman - TikTok: https://tiktok.com/@lexfridman - LinkedIn: https://linkedin.com/in/lexfridman - Facebook: https://facebook.com/lexfridman - Patreon: https://patreon.com/lexfridman - Telegram: https://t.me/lexfridman - Reddit: https://reddit.com/r/lexfridman

James Holland is a historian specializing in World War II. He hosts a podcast called WW2 Pod: We Have Ways of Making You Talk. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep470-sb See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. *Transcript:* https://lexfridman.com/james-holland-transcript *CONTACT LEX:* *Feedback* - give feedback to Lex: https://lexfridman.com/survey *AMA* - submit questions, videos or call-in: https://lexfridman.com/ama *Hiring* - join our team: https://lexfridman.com/hiring *Other* - other ways to get in touch: https://lexfridman.com/contact *EPISODE LINKS:* James's Books: https://amzn.to/4caapmt James's X: https://x.com/James1940 James's Instagram: https://instagram.com/jamesholland1940 James's Substack: https://james1940.substack.com WW2 Pod (Podcast - Apple): https://apple.co/4l93Dl3 WW2 Pod (Podcast - YouTube): https://www.youtube.com/@wehaveways WW2 Pod (Podcast - Spotify): https://open.spotify.com/show/34VlAepHmeloDD76RX4jtc WW2 Pod (Podcast - X): https://x.com/WeHaveWaysPod *SPONSORS:* To support this podcast, check out our sponsors & get discounts: *Shopify:* Sell stuff online. Go to https://lexfridman.com/s/shopify-ep470-sb *LMNT:* Zero-sugar electrolyte drink mix. Go to https://lexfridman.com/s/lmnt-ep470-sb *AG1:* All-in-one daily nutrition drink. Go to https://lexfridman.com/s/ag1-ep470-sb *Notion:* Note-taking and team collaboration. Go to https://lexfridman.com/s/notion-ep470-sb *OUTLINE:* 0:00 - Episode highlight 0:26 - Introduction 1:13 - World War II 11:11 - Lebensraum and Hitler ideology 18:23 - Operation Barbarossa 34:36 - Hitler vs Europe 56:22 - Joseph Goebbels 1:06:17 - Hitler before WW2 1:11:12 - Hitler vs Chamberlain 1:33:18 - Invasion of Poland 1:37:55 - Molotov–Ribbentrop Pact 1:45:56 - Winston Churchill 2:09:56 - Most powerful military in WW2 2:32:18 - Tanks 2:42:17 - Battle of Stalingrad 2:55:09 - Concentration camps 3:04:40 - Battle of Normandy 3:18:32 - Lessons from WW2 *PODCAST LINKS:* - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips *SOCIAL LINKS:* - X: https://x.com/lexfridman - Instagram: https://instagram.com/lexfridman - TikTok: https://tiktok.com/@lexfridman - LinkedIn: https://linkedin.com/in/lexfridman - Facebook: https://facebook.com/lexfridman - Patreon: https://patreon.com/lexfridman - Telegram: https://t.me/lexfridman - Reddit: https://reddit.com/r/lexfridman

Oliver Anthony is singer-songwriter who first gained worldwide fame with his viral hit Rich Men North of Richmond. He became a voice for many who are voiceless, with many of his songs speaking to the struggle of the working class in modern American life. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep469-sb See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. *Transcript:* https://lexfridman.com/oliver-anthony-transcript *CONTACT LEX:* *Feedback* - give feedback to Lex: https://lexfridman.com/survey *AMA* - submit questions, videos or call-in: https://lexfridman.com/ama *Hiring* - join our team: https://lexfridman.com/hiring *Other* - other ways to get in touch: https://lexfridman.com/contact *EPISODE LINKS:* Oliver's X: https://x.com/AintGottaDollar Oliver's Instagram: https://instagram.com/oliver_anthony_music_ Oliver's YouTube: https://youtube.com/@oliveranthonymusic Oliver's TikTok: https://tiktok.com/@oliveranthonymusic Oliver's Website: https://oliveranthonymusic.com/ Oliver's FaceBook: https://facebook.com/OliverAnthonyMusicOfficial/ Oliver's Linktree: https://linktr.ee/oliveranthonymusic *SPONSORS:* To support this podcast, check out our sponsors & get discounts: *MasterClass:* Online classes from world-class experts. Go to https://lexfridman.com/s/masterclass-ep469-sb *Shopify:* Sell stuff online. Go to https://lexfridman.com/s/shopify-ep469-sb *Oracle:* Cloud infrastructure. Go to https://lexfridman.com/s/oracle-ep469-sb *Tax Network USA:* Full-service tax firm. Go to https://lexfridman.com/s/tax_network_usa-ep469-sb *LMNT:* Zero-sugar electrolyte drink mix. Go to https://lexfridman.com/s/lmnt-ep469-sb *OUTLINE:* 0:00 - Introduction 1:14 - Open mics 5:17 - Mainstream country music 14:24 - Fame 20:20 - Music vs politics 29:10 - Rich Men North of Richmond 39:20 - Popularity, money, and integrity 54:08 - Blue-collar people 1:06:11 - Depression 1:31:04 - Nature 1:53:40 - Three-legged cat 2:02:11 - I Want to Go Home (live performance) 2:05:50 - Guitar backstory 2:10:12 - Playing live this year *PODCAST LINKS:* - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips *SOCIAL LINKS:* - X: https://x.com/lexfridman - Instagram: https://instagram.com/lexfridman - TikTok: https://tiktok.com/@lexfridman - LinkedIn: https://linkedin.com/in/lexfridman - Facebook: https://facebook.com/lexfridman - Patreon: https://patreon.com/lexfridman - Telegram: https://t.me/lexfridman - Reddit: https://reddit.com/r/lexfridman

Janna Levin is a theoretical physicist and cosmologist specializing in black holes, cosmology of extra dimensions, topology of the universe, and gravitational waves. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep468-sb See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. *Transcript:* https://lexfridman.com/janna-levin-transcript *CONTACT LEX:* *Feedback* - give feedback to Lex: https://lexfridman.com/survey *AMA* - submit questions, videos or call-in: https://lexfridman.com/ama *Hiring* - join our team: https://lexfridman.com/hiring *Other* - other ways to get in touch: https://lexfridman.com/contact *EPISODE LINKS:* Janna's X: https://x.com/JannaLevin Janna's Website: https://jannalevin.com Janna's Instagram: https://instagram.com/jannalevin Janna's Substack: https://substack.com/@jannalevin Black Hole Survival Guide (book): https://amzn.to/3YkJzT5 Black Hole Blues (book): https://amzn.to/42Nw7IE How the Universe Got Its Spots (book): https://amzn.to/4m5De8k A Madman Dreams of Turing Machines (book): https://amzn.to/3GGakvd *SPONSORS:* To support this podcast, check out our sponsors & get discounts: *Brain.fm:* Music for focus. Go to https://lexfridman.com/s/brainfm-ep468-sb *BetterHelp:* Online therapy and counseling. Go to https://lexfridman.com/s/betterhelp-ep468-sb *NetSuite:* Business management software. Go to https://lexfridman.com/s/netsuite-ep468-sb *Shopify:* Sell stuff online. Go to https://lexfridman.com/s/shopify-ep468-sb *AG1:* All-in-one daily nutrition drink. Go to https://lexfridman.com/s/ag1-ep468-sb *OUTLINE:* 0:00 - Episode highlight 2:03 - Introduction 3:03 - Black holes 10:37 - Formation of black holes 21:28 - Oppenheimer and the Atomic Bomb 27:50 - Inside the black hole 40:53 - Supermassive black holes 44:22 - Physics of spacetime 47:25 - General relativity 52:56 - Gravity 1:09:29 - Information paradox 1:17:59 - Fuzzballs & soft hair 1:21:10 - ER = EPR 1:27:49 - Firewall 1:36:41 - Extra dimensions 1:39:06 - Aliens 1:54:42 - Wormholes 2:05:40 - Dark matter and dark energy 2:15:43 - Gravitational waves 2:27:51 - Alan Turing and Kurt Godel 2:40:05 - Grigori Perelman, Andrew Wiles, and Terence Tao 2:46:40 - Art and science 2:56:19 - The biggest mystery *PODCAST LINKS:* - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips *SOCIAL LINKS:* - X: https://x.com/lexfridman - Instagram: https://instagram.com/lexfridman - TikTok: https://tiktok.com/@lexfridman - LinkedIn: https://linkedin.com/in/lexfridman - Facebook: https://facebook.com/lexfridman - Patreon: https://patreon.com/lexfridman - Telegram: https://t.me/lexfridman - Reddit: https://reddit.com/r/lexfridman

Tim Sweeney is a legendary video game programmer, founder and CEO of Epic Games that created the Unreal Engine, Fortnite, Gears of War, Unreal Tournament, and many other groundbreaking and influential video games. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep467-sb See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. *Transcript:* https://lexfridman.com/tim-sweeney-transcript *CONTACT LEX:* *Feedback* - give feedback to Lex: https://lexfridman.com/survey *AMA* - submit questions, videos or call-in: https://lexfridman.com/ama *Hiring* - join our team: https://lexfridman.com/hiring *Other* - other ways to get in touch: https://lexfridman.com/contact *EPISODE LINKS:* Tim's X: https://x.com/timsweeneyepic Epic Games: https://epicgames.com/ *SPONSORS:* To support this podcast, check out our sponsors & get discounts: *Notion:* Note-taking and team collaboration. Go to https://lexfridman.com/s/notion-ep467-sb *MasterClass:* Online classes from world-class experts. Go to https://lexfridman.com/s/masterclass-ep467-sb *Shopify:* Sell stuff online. Go to https://lexfridman.com/s/shopify-ep467-sb *AG1:* All-in-one daily nutrition drink. Go to https://lexfridman.com/s/ag1-ep467-sb *LMNT:* Zero-sugar electrolyte drink mix. Go to https://lexfridman.com/s/lmnt-ep467-sb *OUTLINE:* 0:00 - Episode highlight 3:06 - Introduction 3:39 - 10,000 hours programming 6:56 - Advice for young programmers 15:07 - Video games in the 80s and 90s 17:16 - Epic Games origin story 29:54 - Indie game development 35:47 - Unreal Engine 1:01:44 - Technical details of Unreal Engine 1:06:36 - Constructive solid geometry 1:12:35 - Dynamic lighting 1:17:05 - Volumetric fog 1:20:32 - John Carmack 1:22:19 - Evolution of Unreal Engine 1:28:34 - Unreal Engine 5 1:39:45 - Creating realistic humans 1:48:54 - Lumen global illumination 1:53:24 - Movies 2:08:06 - Simulating reality 2:20:21 - Metaverse 2:22:57 - Fortnite 2:26:53 - Scaling 2:42:17 - Game economies 2:43:46 - Standardizing the Metaverse 2:51:59 - Verse programming language 3:13:32 - Concurrency 3:21:09 - Unreal Engine 6 3:25:47 - Indie game developers 3:28:45 - Apple 3:43:25 - Epic Games Store 4:06:16 - Future of gaming 4:12:16 - Greatest games ever made 4:17:53 - GTA 6 and Rockstar Games 4:21:12 - Hope for the future *PODCAST LINKS:* - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips *SOCIAL LINKS:* - X: https://x.com/lexfridman - Instagram: https://instagram.com/lexfridman - TikTok: https://tiktok.com/@lexfridman - LinkedIn: https://linkedin.com/in/lexfridman - Facebook: https://facebook.com/lexfridman - Patreon: https://patreon.com/lexfridman - Telegram: https://t.me/lexfridman - Reddit: https://reddit.com/r/lexfridman