Yang-Hui He: Why AI Will Permanently Transform How Math Is Done

Yang-Hui He: Why AI Will Permanently Transform How Math Is Done

Yang-Hui He explains how machine learning is reshaping mathematics from string theory to topology. He discusses the interplay of computation and theory, and highlights new approaches that could change how mathematicians discover proofs.- 00:00 - String Theory & Mathematics- 10:54 - How Does One Do Mathematics?- 16:28 - Computers & Mathematics- 20:04 - Bottom-Up Mathematics- 28:44 - Meta-Mathematics- 46:17 - Top-Down Mathematics- 55:22 - Pattern Recognition- 01:01:30 - Platonic Data- 01:07:15 - A Classic Problem Since 1736- 01:17:38 - Classical Results for Reimann Surface- 01:22:29 - Manifolds- 01:26:52 - Superstring Theory- 01:30:45 - When Physics Meets Math- 01:43:01 - Progress in String Theory- 01:45:45 - Image Processing- 01:59:33 - Episode Recap- 02:12:50 - OutroSPONSORS:- The Economist: 20% off discount - https://www.economist.com/toeRESOURCES:- The Calibi-Yau Landscape (book): https://amzn.to/41XmUi0- Machine Learning (book): https://amzn.to/49YQ42t- Topology and Physics (book): https://amzn.to/4gCcjxr- Yang-Hui He’s recent physics lecture: https://www.youtube.com/watch?v=AhuZar2C55U- Roger Penrose on TOE: https://www.youtube.com/watch?v=sGm505TFMbU- Edward Frenkel’s String Theory discussion on TOE: https://www.youtube.com/watch?v=n_oPMcvHbAc- Edward Frenkel’s lecture on TOE: https://www.youtube.com/watch?v=RX1tZv_Nv4Y- Joseph Conlon and Peter Toit on TOE: https://www.youtube.com/watch?v=fAaXk_WoQqQ- A New Lower Bound For Sphere Packing (article): https://arxiv.org/pdf/2312.10026- Principia Mathematica (book): https://www.amazon.com/Principia-Mathematica-Alfred-North-Whitehead/dp/1603864377/ref=sr_1_5?crid=2ANIKKX6G8KRK&dib=eyJ2IjoiMSJ9.c62w_u2CfXIK6AaEt-QKx6dp22lbkUr17cSyr3O-rltVBjvb8xCrwLWz8CQ6iWjo8rjmeCsSCwPwM_U0T8_InZfz0vEX9UKDWfSa5Oan86o4YwU6F3GdBPz3J2d_hXbLOc-EULawZ47JksUzndhf5q7ydfCMlK9lYKc2XLZQq-6_dHWQSbjYI82e_dcKw9EWp71DPKIZ9v5qvbyP3CnE7gRpN7uPMZpj-lxlo7Wjsl4.iSUZDFr0n-ZlkiADza8yEePerPoxBJRRCLhO0tQm2wU&dib_tag=se&keywords=principia+mathematica&qid=1735580157&s=books&sprefix=principia+ma%2Cstripbooks%2C122&sr=1-5- Tshitoyan’s paper on Nature: https://www.nature.com/articles/s41586-019-1335-8- New Substack! Follow my personal writings and EARLY ACCESS episodes here: https://curtjaimungal.substack.com- Enjoy TOE on Spotify!: https://tinyurl.com/SpotifyTOE- Become a YouTube Member Here: https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join- Support TOE on Patreon: https://patreon.com/curtjaimungal (early access to ad-free audio episodes!)- Twitter: https://twitter.com/TOEwithCurt- Discord Invite: https://discord.com/invite/kBcnfNVwqs- Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

Episoder(344)

Slavoj Zizek: “Buddhism Can’t Explain This”

Slavoj Zizek: “Buddhism Can’t Explain This”

SPONSORS:- Accelerate your efficiency. Sign up for your one-dollar-per-month trial today at http://shopify.com/theories- Go to https://shortform.com/toe for a free trial and an exclusive $50 OFF on yo...

27 Apr 1h 35min

Curt Jaimungal: Consciousness, Irreducibility, and the Local to Global

Curt Jaimungal: Consciousness, Irreducibility, and the Local to Global

Why can't local agreement scale to global truth? At the Mind at Large consciousness conference, hosted by the Center for Process Studies, I make the case using sheaf theory and physics — breaking down...

22 Apr 1h

George Ellis: Hawking's Co-Author on Why Reductionism Is Dead

George Ellis: Hawking's Co-Author on Why Reductionism Is Dead

SPONSORS: - Sign up for Claude today at https://Claude.ai/theoriesofeverything and checkout Claude Pro — which includes access to all of the features mentioned in today's episode - Go to https://short...

20 Apr 1h 35min

Aephraim Steinberg: The Physicist Who Measured Negative Time

Aephraim Steinberg: The Physicist Who Measured Negative Time

SPONSORS: - Go to https://expressvpn.com/theoriesofeverythingyt to find out how you can get up to 4 extra months thanks to our sponsor, ExpressVPN - Accelerate your efficiency. Sign up for your one-do...

13 Apr 2h 27min

Curt Jaimungal: Why You Are Brighter Than You Think

Curt Jaimungal: Why You Are Brighter Than You Think

SPONSORS: - Go to https://shortform.com/toe for a free trial and an exclusive $50 OFF on your annual subscription - I subscribe to The Economist for their science and tech coverage. As a TOE listener,...

10 Apr 15min

Curt Jaimungal: What Is Infinity, Actually?

Curt Jaimungal: What Is Infinity, Actually?

For much of history, many mathematicians—following thinkers like Aristotle—viewed infinity as a never-ending process rather than a completed object. In the late 19th century, Georg Cantor revolutioniz...

7 Apr 17min

Emily Riehl Makes Infinity Categories Elementary

Emily Riehl Makes Infinity Categories Elementary

Emily Riehl, one of the world’s leading category theorists, shares her vision for making infinity category theory something undergrads can actually learn. In this talk, she breaks down how rethinking ...

6 Apr 2h 49min

Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner (ETH Zurich) proves quantum mechanics contains logical contradictions that undermine its foundations.Quantum theory may be the most successful theory in history — and Renato Renner has p...

30 Mar 3h 26min

Populært innen Vitenskap

fastlegen
tingenes-tilstand
jss
forskningno
liberal-halvtime
rekommandert
sinnsyn
rss-paradigmepodden
villmarksliv
tomprat-med-gunnar-tjomlid
rss-inn-til-kjernen-med-sunniva-rose
rss-overskuddsliv
tidlose-historier
kvinnehelsepodden
rss-nysgjerrige-norge
fjellsportpodden
nevropodden
diagnose
nordnorsk-historie
dekodet-2