Mysteries of Math and the Langlands Program - Episode 1 Edward Frenkel 2019-01-18 | The first in a series of 4 lectures by Edward Frenkel filmed at MSRI, Berkeley and broadcast on the Japanese TV channel NHK in the Fall of 2015 in the "Luminous Classroom" series. The lectures went from elementary topics such as Pythagoras theorem, prime numbers and symmetries to Fermat's last theorem and the general Langlands conjectures, and to the recent work connecting the Langlands Program to Quantum Physics. Even though the Intro is in Japanese, the lecture itself is in English.Edward Frenkel's website: http://edwardfrenkel.comThe unedited videos of the lectures (taken by a fixed camera) are available at the MSRI website:http://www.msri.org/web/msri/scientific/workshops/other-workshops/frenkel-langlandsThe NHK webpage dedicated to the lectures:web.archive.org/web/20161211104529/http://www.nhk.or.jp/hakunetsu/math/index.html
Mathematics Brings Us Closer Together Edward Frenkel 2026-07-15 | Every mathematical formula or theorem expresses a fundamental truth about the Universe, and about ourselves. These truths are persistent and timeless. They belong to all of us, and mean the same to all of us, regardless of language, religion, or skin color. Mathematics thus shows we are all connected to each other at a much deeper level than is ordinarily understood. Mathematics is what we can all hold on to in this volatile world. It brings us closer together and unites us.This clip is from Edward Frenkel’s keynote presentation at the UNESCO Global Webinar "Mathematics and Hope." Watch the full video on his YouTube channel:youtube.com/watch?v=zPI7PVH5djE
What Happens if We Reject the Divine – Carl Jungs Warning Edward Frenkel 2026-07-08 | Carl Jung argued that our connection to the Divine is a natural part of human psychology — and if we reject it, we end up worshiping "something inappropriate or stupid" such as dictators or... machines (the latter has become quite common lately with the advances in AI). This clip is from Edward Frenkel’s recent lecture on reviving the Pythagorean tradition. Watch the full video on his YouTube channel:youtu.be/30sShvQRRC0
Math Gives Us Hope for the Future Edward Frenkel 2026-04-07 | What if mathematics is the one thing that truly unites all of humanity and gives us hope for a better future? In his keynote talk at the UNESCO event honoring International Day of Mathematics (Pi Day) Berkeley professor and bestselling author Edward Frenkel makes a surprising case: unlike advances in physics and technology, mathematical truths are eternal, unchangeable, and can't be patented. They belong to all of us equally, and mean the same to all of us — regardless of language, upbringing, or skin color. Mathematics thus shows that we are all connected to each other at a much deeper level than is ordinarily understood, and this realization can lead us to a new sense of unity and hope.This isn't just a lecture about numbers. Frenkel presents mathematics as a sixth sense — one that connects our minds across time, space and civilizations, allowing us to imagine a more harmonious world, pointing us to a deeper meaning of being human.• What did Pythagoras, Sofya Kovalevskaya, Ramanujan, and Albert Einstein have in common?• Why did Charles Darwin regret not having studied more mathematics?• And what does any of this have to do with hope?Watch to find out!Based on Edward Frenkel's keynote presentation given at the 2026 UNESCO Global Webinar "Mathematics and Hope" honoring the International Day of Mathematics (Pi Day).For more details, see unesco.org/en/articles/international-day-mathematics-2026?hub=66672Organizer: Betül Tanbay (International Mathematical Union)Editing and additional footage: Didi KailingLINKS:• Edward Frenkel's Official Website: edwardfrenkel.com• Edward Frenkel's X/Twitter: https://x.com/edfrenkel• Edward Frenkel's LinkedIn linkedin.com/in/edfrenkel• Edward Frenkel's Instagram: instagram.com/edfrenkel• Edward Frenkel's Facebook: facebook.com/edfrenkel• Edward Frenkel’s book “Love and Math”: amzn.to/4evbBkS• Film "The Man Who Knew Infinity" directed by Matt Brown (12015): amazon.com/gp/video/detail/amzn1.dv.gti.bfb89463-072d-46c5-b2d4-a052482a7707
When Thinking Stops Discovery Begins Edward Frenkel 2026-01-28 | When artists (or mathematicians) enter the flow state, they often feel guided by something greater than themselves. Is this just our psychology — or evidence of a higher power?I explore this in depth in my lecture on the revival of Pythagorean tradition. Watch full video on my YouTube channel:youtu.be/30sShvQRRC0
Reviving Pythagorean Tradition in the Age of AI Edward Frenkel 2025-12-22 | Now with NEW SUBTITLES! Mathematician and UC Berkeley professor Edward Frenkel talks about reviving the Pythagorean tradition, which combined a mathematical understanding of nature with a vision of human destiny pointing far beyond the visible world — creating balance between logic and intuition, math and music, Apollo and Dionysus. Alas, since the time of Pythagoras we've been mostly embracing the logic side while largely ignoring the intuition side, creating an imbalance that has affected our society in profound ways. And this imbalance has intensified in the age of Artificial Intelligence, a technology based on numbers and mathematics.On a special evening at the Commonwealth Club in San Francisco (founded in 1903), an attempt was made to reunite these two threads. The event began with a talk by Edward Frenkel, author of the book "Love and Math" (published in 20 languages) who considers himself a modern Pythagorean, and it was followed by a ceremony — a rooftop dance party led by DJs: Anna Fedorova (as DJ Wilder) set the tone, followed by Edward Frenkel (as DJ Moonstein) playing back-to-back with Cihat Fitzgerald (as DJ Chi).This video features the full talk along with highlights from the musical performance that concluded the evening.The audio recording of the Chi + Moonstein music set is on SoundCloud: soundcloud.com/chi-moonstein/commonwealth-clubThis event took place in San Francisco at the Commonwealth Club of California on October 17, 2025.Organizer: George HammondEditing of the original video: Spencer CampbellAdditional editing: Didi KailingLINKS:• Edward Frenkel's Official Website: edwardfrenkel.com• Edward Frenkel's X/Twitter: https://x.com/edfrenkel• Edward Frenkel's LinkedIn linkedin.com/in/edfrenkel• Edward Frenkel's Instagram: instagram.com/edfrenkel• Edward Frenkel's Facebook: facebook.com/edfrenkel• Edward Frenkel’s book “Love and Math”: amzn.to/4evbBkS• Edward Frenkel talks about string theory with Curt Jaimungal at his TOE podcast: youtube.com/watch?v=MLGUjzV-Uqc• Anna Fedorova’s SoundCloud (DJ Wilder): soundcloud.com/af-wilder• Cihat Fitzgerald’s SoundCloud (DJ Chi): soundcloud.com/chidj• Edward Frenkel’s SoundCloud (DJ Moonstein): soundcloud.com/moonstein• Chi + Moonstein SoundCloud: soundcloud.com/chimoonstein
Can AI Reach the Capacity of the Human Mind? | AfterMath Episode #3 Edward Frenkel 2025-09-11 | In the third episode of his new series AfterMath, Edward Frenkel asks: Can a computer reach the full capacity of the human mind? With the recent advances in AI, this has become a hot topic for debate. Frenkel focuses on the area he knows best: mathematics. And he further narrows it down to the question: Can a computer be as good as a human in dealing with natural numbers? (Numbers like 0,1,2,3,4, and so on.) While computers excel at number crunching, they struggle with general statements about numbers. In this domain, computers hit a wall, which Frenkel calls the Turing Wall (in honor of Alan Turing, the father of modern computing). Important insights come from Tarski's Undefinability Theorem (closely connected to Gödel's Incompleteness Theorems). Frenkel also touches upon the limitations of Large Language Models in handling mathematical truths. At the end of the episode, Frenkel goes back to the 3D sphere he talked about in Episode #2. He gives a 4D spacetime demonstration of it, using... a balloon.Please comment on the video and ask questions. In the future episodes, Edward will read and respond to the most interesting comments and questions.Edward Frenkel is a professor of mathematics at UC Berkeley, member of the American Academy of Arts and Sciences, winner of the Hermann Weyl Prize and the Euler Book Prize, and author of the international bestseller “Love and Math” which has been published in 20 languages.Episode #1 of AfterMath: youtu.be/7eejAeqYFCgEpisode #2 of AfterMath: youtu.be/Gg1PW4Y6DJ0LINKS:• Edward Frenkel's Official Website: edwardfrenkel.com• Edward Frenkel's X/Twitter: https://x.com/edfrenkel• Edward Frenkel's LinkedIn linkedin.com/in/edfrenkel• Edward Frenkel's Instagram: instagram.com/edfrenkel• Edward Frenkel's Facebook: facebook.com/edfrenkel• Edward Frenkel’s SoundCloud (DJ Moonstein): soundcloud.com/moonstein• Edward Frenkel’s book “Love and Math”: amzn.to/4evbBkSTarski's Undefinability Theorem: en.wikipedia.org/wiki/Tarski%27s_undefinability_theoremGödel's Incompleteness Theorems: en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theoremsAlan Turing's quote is from his report "Proposed Electronic Calculator" submitted to the Executive Committee of the National Physical Laboratory in February 1946, published as Chapter 20 of the book "Alan Turing's Automatic Computing Engine: The Master Codebreaker's Struggle to build the Modern Computer," ed. B. Jack Copeland, Oxford University Press, 2008.Michael Atiyah's quote is from page 1 of the book "The Unravelers: Mathematical Snapshots" edited by Jean-François Dars, Annick Lesne, and Anne Papillault, translated by Vivienne Méla, A K Peters, 2008. It is included in the article "Sir Michael Atiyah, a Knight Mathematician" by Alain Connes and Joseph Kouneiher, published in the Notices of AMS, vol. 66, No. 10, pp. 1660-1671, 2019.Eric Weinstein's X/Twitter: https://x.com/EricRWeinsteinWe used clips from the following films:The Imitation Game, directed by Morten Tyldum, 2014: imdb.com/title/tt2084970A Few Good Men, directed by Rob Reiner, 1992: imdb.com/title/tt0104257I Heart Huckabees, directed by David O. Russell, 2004: imdb.com/title/tt0356721Dreamy image at the end (homage to Marc Chagall): craiyon.com/fr/image/kOKc1OCVSa6WwXVF8MJ0hQCREDITS:Production: Anna FedorovaEditing: Didi KaylingAnimation: Ross Flat Pack FXFor all business inquiries please contact frenkelmath@gmail.com© 2025 by Edward Frenkel
Can AI Outsmart Human Mind? Edward Frenkel 2025-08-10 | Can AI ever truly think like a human mathematician? In Episode 3 of my new YouTube series AfterMath, I will explore one of today’s most pressing questions: Can a computer ever reach the full capacity of the human mind — specifically, in the realm of mathematics?Many believe that AI will eventually surpass human thinking, even in complex fields like math. But I will take a closer look at this question — through the lens of mathematical logic. You may have heard of Gödel’s Incompleteness Theorems, but there's a better way to talk about this subject: Tarski’s Undefinability Theorem, developed by the great logician Alfred Tarski, who was a professor at my university, UC Berkeley. Tarski’s insight reveals deep limitations on what can be captured by formal systems — and by extension, what AI can truly accomplish. Does this mean there's an ultimate limit to machine intelligence?Stay tuned for Episode 3 of the AfterMath, coming up soon!🔔 Subscribe to @edfrenkel for more on mathematics, artificial intelligence, and the nature of reality.#ArtificialIntelligence #Mathematics #Math #Gödel #Tarski #EdwardFrenkel #AfterMath #AI #MachineLearning #Philosophy
We can use mathematical archetypes to access other dimensions of life. #math #psychology #aftermath Edward Frenkel 2025-03-14 | ...
Bernard Riemann’s theory on treating geometric shapes as standalone geometric structures. Edward Frenkel 2025-03-09 | ...
Every mathematical object corresponds to a particular archetype in our collective unconscious #math Edward Frenkel 2025-03-07 | ...
Mathematical archetypes have unique properties. [Episode 2 AfterMath] Edward Frenkel 2025-02-20 | ...
The Source Code of Human Mind | AfterMath Episode #2 Edward Frenkel 2025-02-11 | In the second episode of his new series, AfterMath, Edward Frenkel talks about a unification of mathematics and analytic psychology. Following Carl Jung, Edward proposes that all mathematical objects and ideas come from archetypes in our Collective Unconscious (a common psychic realm to which our individual minds are connected). After a brief introduction to Jungian psychology, covering such topics as the Collective Unconscious and its building blocks called the archetypes, with special attention to the archetype of the Shadow, Frenkel talks about a specific mathematical archetype: the archetype of Flat Space. He explains what it means for humans to be "under the spell of this archetype," what it means to "project" this archetype, and what it means to "integrate" this archetype. He argues that when we integrate mathematical archetypes, new dimensions of reality open up to us.Edward Frenkel is a professor of mathematics at UC Berkeley, member of the American Academy of Arts and Sciences, winner of the Hermann Weyl Prize and the Euler Book Prize, and author of the international bestseller “Love and Math” which has been published in 19 languages.Listen and Watch the Video on Spotify! tinyurl.com/AfterMathSeriesEpisode 1 of AfterMath: youtu.be/7eejAeqYFCgLINKS:• Edward Frenkel's Official Website: edwardfrenkel.com• Edward Frenkel's X/Twitter: https://x.com/edfrenkel• Edward Frenkel's LinkedIn linkedin.com/in/edfrenkel• Edward Frenkel's Instagram: instagram.com/edfrenkel• Edward Frenkel's Facebook: facebook.com/edfrenkel• Edward Frenkel’s SoundCloud (DJ Moonstein): soundcloud.com/moonsteinEdward Frenkel’s book “Love and Math”: amzn.to/4evbBkSA good introduction to Jungian psychology (with chapters by Carl Jung and Marie-Louise von Franz) is the book "Man and His Symbols": amazon.com/Man-His-Symbols-Carl-Jung/dp/0593499999Edward Frenkel's conversation with Curt Jaimungal on the TOE podcast about the Langlands Program:Part 1: youtu.be/RX1tZv_Nv4YPart 2: youtu.be/0AC-Ol1z5vICREDITS:Editing: Didi KaylingAnimation: Ross Flat Pack FX, Neda DivzadFor all business inquiries please contact frenkelmath@gmail.com © 2025 by Edward Frenkel#science #math #mathematics #quantumphysics #philosophy #psychology #podcast #carljung
What is mathematics? Episode 1 of AfterMath out now! #math #science #mathematics #philosophy Edward Frenkel 2024-10-26 | ...
Our Minds Are Connected According To Math | AfterMath Episode #1 Edward Frenkel 2024-10-24 | This is the pilot episode of Edward Frenkel’s new YouTube show/podcast “AfterMath” which will explore revolutionary ideas in mathematics, quantum physics, philosophy, and Jungian psychology, as well as interconnections between these subjects. In this episode, Edward explains in simple and accessible terms – based on mathematics! – that our minds are connected to each other at a much deeper level than is ordinarily understood.Edward Frenkel is a professor of mathematics at UC Berkeley, member of the American Academy of Arts and Sciences, winner of the Hermann Weyl Prize and the Euler Book Prize, and author of the international bestseller “Love and Math” which has been published in 19 languages.Listen on Spotify! tinyurl.com/spotifyaftermathComing soon to all other audio steaming platforms!LINKS:• Edward Frenkel's Official Website: edwardfrenkel.com• Edward Frenkel's X/Twitter: https://x.com/edfrenkel• Edward Frenkel's LinkedIn linkedin.com/in/edfrenkel• Edward Frenkel's Instagram: instagram.com/edfrenkel• Edward Frenkel's Facebook: facebook.com/edfrenkel• Edward Frenkel’s SoundCloud (DJ Moonstein): soundcloud.com/moonsteinEdward Frenkel’s book “Love and Math”: amzn.to/4evbBkSErwin Schrödinger's book "Mind and Matter" appears as part of the collection "What is Life?": amazon.com/What-Life-Autobiographical-Sketches-Classics/dp/1107604664Lex Fridman's interview of Vladimir Vapnik: youtu.be/STFcvzoxVw4A good introduction to Jungian psychology (with chapters by Carl Jung and Marie-Louise von Franz) is the book "Man and His Symbols": amazon.com/Man-His-Symbols-Carl-Jung/dp/0593499999A good introduction to Euclidean geometry is the book "The King of Infinite Space: Euclid and His Elements" by David Berlinski: amazon.com/King-Infinite-Space-Euclid-Elements/dp/0465065716Stanley Kubrick's film "2001: A Space Odyssey": amazon.com/2001-Space-Odyssey-Douglas-Rain/dp/B000GOUXESOn the observable Universe: britannica.com/topic/observable-universeFor all business inquiries please contact frenkelmath@gmail.com© 2024 by Edward Frenkel#science #math #mathematics #quantumphysics #philosophy #psychology #podcast
Cannes Next: New Cinematic Heroes in the Age of AI Edward Frenkel 2022-05-20 | Conversation between Edward Frenkel (Professor of Mathematics, University of California, Berkeley and author of “Love and Math”) and Kayvan Mashayekh (Founder of Producers Without Borders) on the stage of Marché du Film of 75th Cannes Film Festival on May 19, 2022 (in the program Cannes Next).A brief summary: In his book "Thus Spoke Zarathustra," Nietzsche talks about the übermensch, or superman, the next step in evolution of humans. What does this concept mean in this "age of AI" in which technology governs most aspects of our lives through computers, smartphones, blockchains, and algorithms that to a large extent define our desires and fears? It's tempting to think of the individuals who develop this technology -- and thus wield an inordinate amount of power today -- as supermen. However, if we go to the heart of these new archetypes and delve into their character traits, we can see their significant limitations. Frenkel and Mashayekh argue that a true "superman" (or "superwoman") is the one who strikes balance between the logical, rational side and the imaginative, intuitive side. And we need more films that explore these new heroes' journeys in order to better understand who we are and who we want to be, as a society and as individuals.Edward Frenkel's website: edwardfrenkel.comProducers Without Borders website: producerswithoutborders.comEvent webpage: marchedufilm.com/programs/cannes-next/calendar/?lectureId=IxRfexVN2KA41ZuKZ2Bm
Mysteries of Math and the Langlands Program - Episode 4 Edward Frenkel 2019-05-01 | The fourth in a series of 4 lectures by Edward Frenkel recorded at MSRI, Berkeley and broadcast on the Japanese TV channel NHK in the Fall of 2015 in the "Luminous Classroom" series. The lectures went from elementary topics such as Pythagoras theorem, prime numbers and symmetries to Galois groups, Fermat's last theorem and the general Langlands conjectures, and to the recent work connecting the Langlands Program to Quantum Physics. Even though the Intro to each episode is in Japanese, the lecture itself is in English.Other episodes: youtube.com/playlist?list=PL6xyWl8q1R97lS5IjBKLFKidOGtGzcVrwEdward Frenkel's website: http://edwardfrenkel.comThe unedited videos of the lectures (taken by a fixed camera) are available at the MSRI website:http://www.msri.org/web/msri/scientific/workshops/other-workshops/frenkel-langlandsThe NHK webpage dedicated to the lectures:web.archive.org/web/20161211104529/http://www.nhk.or.jp/hakunetsu/math/index.html
Mysteries of Math and the Langlands Program - Episode 3 Edward Frenkel 2019-04-27 | The third in a series of 4 lectures by Edward Frenkel recorded at MSRI, Berkeley and broadcast on the Japanese TV channel NHK in the Fall of 2015 in the "Luminous Classroom" series. The lectures went from elementary topics such as Pythagoras theorem, prime numbers and symmetries to Galois groups, Fermat's last theorem and the general Langlands conjectures, and to the recent work connecting the Langlands Program to Quantum Physics. Even though the Intro to each episode is in Japanese, the lecture itself is in English.Other episodes: youtube.com/playlist?list=PL6xyWl8q1R97lS5IjBKLFKidOGtGzcVrwEdward Frenkel's website: http://edwardfrenkel.comThe unedited videos of the lectures (taken by a fixed camera) are available at the MSRI website:http://www.msri.org/web/msri/scientific/workshops/other-workshops/frenkel-langlandsThe NHK webpage dedicated to the lectures:web.archive.org/web/20161211104529/http://www.nhk.or.jp/hakunetsu/math/index.html
Mysteries of Math and the Langlands Program - Episode 2 Edward Frenkel 2019-01-25 | The second in a series of 4 lectures by Edward Frenkel recorded at MSRI, Berkeley and broadcast on the Japanese TV channel NHK in the Fall of 2015 in the "Luminous Classroom" series. The lectures went from elementary topics such as Pythagoras theorem, prime numbers and symmetries to Galois groups, Fermat's last theorem and the general Langlands conjectures, and to the recent work connecting the Langlands Program to Quantum Physics. Even though the Intro is in Japanese, the lecture itself is in English.First lecture: youtu.be/Wbjp1RiF9vUEdward Frenkel's website: http://edwardfrenkel.comThe unedited videos of the lectures (taken by a fixed camera) are available at the MSRI website:http://www.msri.org/web/msri/scientific/workshops/other-workshops/frenkel-langlandsThe NHK webpage dedicated to the lectures:web.archive.org/web/20161211104529/http://www.nhk.or.jp/hakunetsu/math/index.html
1+2+3+4+... = Is there place for magic in math? Edward Frenkel 2014-02-09 | Clip from Edward Frenkel's reading at the Bookish Bookstorein Berkeley on February 4, 2014. For more on his book"Love and Math," see bit.ly/loveandmathVideography by Teresa BogutaEdward Frenkel's website: http://edwardfrenkel.comLink to The New York Times article:http://www.nytimes.com/2014/02/04/science/in-the-end-it-all-adds-up-to.htmlLink to the Numberphile video:youtube.com/watch?v=w-I6XTVZXww
Mathematics is the most misunderstood subject Edward Frenkel 2013-10-10 | A videoclip from the Launch Party for Edward Frenkel's new book "Love and Math" held at Books Inc. in Berkeley on October 1, 2013. For more on the book, see http://loveandmathbook.com and facebook.com/loveandmathVideo by Patrick Eibl
Edward Frenkels Lecture at Séminaire Bourbaki in Paris Edward Frenkel 2011-11-28 | Excerpts from the lecture "Gauge Theory and Langlands Duality" delivered by Edward Frenkel at Séminaire Bourbaki in Paris on June 13, 2009.Parts of this video were initially intended to be included at the end of the film "Rites of Love and Math" by Reine Graves and Edward Frenkel, but did not make the final cut.Kayshonne Insixieng May, the actress who played Mariko in "Rites of Love and Math", makes a cameo appearance, as well as the legendary French mathematician Jean-Pierre Serre (at the very end).Photography: Reine GravesEditing: Thomas Bertay (Sycomore Films)More info on Séminaire Bourbaki: http://en.wikipedia.org/wiki/Seminaire_Nicolas_BourbakiFull text of this lecture: http://math.berkeley.edu/~frenkel/bourbaki-gauge.pdfEdward Frenkel's website: http://edwardfrenkel.comThe film "Rites of Love and Math": http://ritesofloveandmath.com
Rites of Love and Math screening in Berkeley Edward Frenkel 2010-12-17 | The films "Rite of Love and Death" by Yukio Mishima and "Rites of Love and Math" by Reine Graves and Edward Frenkel were screened at the Landmark Cinemas in Berkeley on December 1, 2010 (sponsored by Berkeley Video & Film Festival).This is the video of this event, including the introduction to the films and the Q & A with Edward Frenkel.To learn more about "Rites of Love and Math" or order the film, visit http://ritesofloveandmath.com/Camera: Paul Kealoha Blake & Andrea YoungEditing: Paul Kealoha Blake (East Bay Media Center)Special thanks: Mel Vapour (East Bay Media Center)http://eastbaymediacenter.com
Rites of Love and Math on French TV Edward Frenkel 2010-10-23 | Report on the film "Rites of Love and Math" by Reine Graves and Edward Frenkel on the program "En attendant minuit" on the French TV channel TPS Star, October 18, 2010.To learn more about "Rites of Love and Math", visit http://edwardfrenkel.com/filmThe film is available in HD at Labocine: labocine.com/film/207
