The Extraordinary Theorems of John Nash

The Extraordinary Theorems of John Nash - with Cédric Villani

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7 жыл бұрын

Fields medal winner Cédric Villani takes us through the very special world of mathematical creation of John Nash, who founded several new chapters of game theory and geometric analysis in just a few revolutionary contributions that seemed to come from nowhere.
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On 23 May 2015, John Forbes Nash tragically died in a taxi accident, just after receiving the most prestigious award that a mathematician can dream of, the Abel Prize. This tragic episode was the last event in a life which was so full of amazing events that Nash became an icon of human genius, recipient of the Nobel Prize and hero of a Hollywood movie looking at his life marked by mental illness.
But most of all, Nash was a prophet who founded several new chapters of game theory and geometric analysis in just a few revolutionary contributions that seemed to come from nowhere. Fields medal winner, Cédric Villani takes us through this very special world of mathematical creation.
Cédric Villani is a French mathematician who works primarily on partial differential equations, Riemannian geometry and mathematical physics. He was awarded the prestigious Fields Medal in 2010 - an award often viewed as the highest honour a mathematician can receive.
He is a member of the Science and Technology Advisory Council and DIrector of the Institut Henri Poincaré.
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Пікірлер: 689

@rodovre 6 жыл бұрын

This remarkable mathematician, always with the same eccentric look and heavy French accent, now became a member of the French parliament! Awesome to have a mathematician in politics, a new wave.

@fboileau1 5 жыл бұрын

in france not that much, les francais ils aiment quand meme les intellos depuis un bout

@linchenpal 4 жыл бұрын

Greek times are coming back

@FISHDINHO 4 жыл бұрын

Using mathematics to predict economic markets caused the 2008 banking collapse. It's far from ideal.

@linchenpal 4 жыл бұрын

Dougaldinho Fishdinho not complety true: an application of math: deterministic formules following a normal distribution. Read about the warning from academia at the time and how for ex Fractal coulf have avoid it.

@linchenpal 4 жыл бұрын

Jack T i wish never again... revolution is coming from using our brains and not violence. Evolution.

@noahrathje8976 5 жыл бұрын

Always great to have physics explained by a James Bond villain

@Goryllo 5 жыл бұрын

you mean a James Bond Villani (see what I did there?)

@sajateacher 3 жыл бұрын

@@Goryllo I know, it's like, could he be a little more subtle with his name there? Not too sly, "Villani"...

@wilusa3113 2 жыл бұрын

If Hollywood cast Villani to be a Bond villain i would buy a ticket for opening day.

@Guizambaldi Жыл бұрын

Wouldn't it be great if the franchise casted a Fields medalist as the genius mathematician who cracked the nuclear code of the superpowers?

@daubabylon Жыл бұрын

is mathematics, or mathematical physics at best.

@gresach 6 жыл бұрын

A beautiful lecture, communicating with kindness and humility, so much of the spirit of mathematics

@innertubez 7 жыл бұрын

This is like a science lecture delivered by a magician.

@abcde_fz 5 жыл бұрын

God I wish this guy had more lectures. His voice, to a middle-of-the-road american English speaker such as myself, is so very well adapted to getting both the technical AND aesthetic nuances across, to me at least, that I could listen all day to stuff I don't even begin to understand, and still enjoy it immensely... :-)

@XrollhaX 5 жыл бұрын

This talk was amazing. The first 12 minutes make you realize by yourself the following minutes of the video and Cédric keeps up giving us more and more. Amazing explanation. Glad I could watch it on KZfaq.

@brboLikus 7 жыл бұрын

"Here, let me show you an example." Camera: full frontal view. "See here how it changes..." Camera: better change to the left!

@ashnur 7 жыл бұрын

probably they didn't want to share the exact graphics with the internet

@brboLikus 7 жыл бұрын

It was visible later in a full room view. But it was probably a technical issue since it wasn't shown through the presentation software. Great lecture, nonetheless!

@hoangnamld 7 жыл бұрын

They said the slides were given later after the talk, so they couldn't capture the graphics outside of his slides.

@santiagobalado5505 7 жыл бұрын

That's no excuse when they had footage of the screen themselves, as evidenced later.

@infosec4u 7 жыл бұрын

Stantiago - "oh...there is no excuse... blah...blah...." that is life good Sir. Buy yourself a bunch of straws and 'SUCK IT UP!" You might want to purchase stainless steel ones because you are going to need them FOR YOUR ONE SHOT AT THIS LIFE!

@NoriMori1992 7 жыл бұрын

I love when non-native English speakers speak English more than well enough to be understood, but don't speak in quite the same way as native speakers. They say things in the most poetic and beautifully succinct ways. I also love when someone speaks English well and clearly but still has a really strong accent; there's something really satisfying about it.

@OfficialTaj 5 жыл бұрын

ME TOOOO!

@precumming 5 жыл бұрын

Definitely, how he called instructions to make a hyperbolic crochet a "recipe" 👌

@deepakbellur9676 5 жыл бұрын

I was about to say he spoke most interestingly but very tiringly!

@mkrump9403 5 жыл бұрын

He lives more than a decades in USA and never loss his french accent... The power of math and science haha.

@mkrump9403 5 жыл бұрын

His tough as nail french accent*

@Hecatonicosachoron 7 жыл бұрын

I just adore his enthusiasm! And also geometric flows and applications of diffusion equations to geometry, such a wonderful branch of maths!

@EricEisaman 5 жыл бұрын

Cédric is a brilliant communicator.

@zenon999 3 жыл бұрын

Un scientifique, un très grand savant ! On ne se lasse pas de l’écouter et de voyager dans le monde merveilleux de la mathématique. Je n’ai jamais vu autant de qualités pédagogiques , toujours prêt à écouter et à expliquer. J’aurais tant voulu l’avoir comme prof ! Merci beaucoup pour le partage

@ClementMasson 7 жыл бұрын

Brilliant talk from Cedric, as always ! That was a moving tribute. I felt quite sad at the end of the presentation, hearing the circumstances of his death. Dying just after eventually gaining one of the highest acknowledgments, which he had been waiting for most of his life ... that's so dramatic ! A tribute movie could be very good, if only it really sticked to the real fact without over-dramatizing the thing.

@TheR971 3 жыл бұрын

I mean Galois wrote down all his ideas on finite groups the night before his death, without ever gaining acknowledgments. But he changed the world.

@antonteodor6305 7 жыл бұрын

You know you're talking with a Frenchman when analysis is being compared to fine cuisine...

@Extys 7 жыл бұрын

Actually it's because the word in Japanese is the same "fine cuisine" and "analysis". 22:10

@antonteodor6305 7 жыл бұрын

Yeah sure xD

@AnandKrishAK 7 жыл бұрын

May I know the Japanese word?

@Extys 7 жыл бұрын

22:10 but I don't know the word

@totaltotalmonkey 7 жыл бұрын

分析高級料理

@baptistewxpolpodcast3339 5 жыл бұрын

Cédric is a national treasure ! Brillant exposé

@ishi92 4 жыл бұрын

so well explained. That was a joy to experience! Thanks Cedric!

@NomadUniverse 7 жыл бұрын

Incredibly interesting and intriguing speaker.

@carlose2335 7 жыл бұрын

MPAH1981 Find some great videos of him on Numberphile, he's a very great guy.

@NomadUniverse 7 жыл бұрын

Cool thanks I will check that out! He just has a tendency to lock you in and you hang on every word!

@yonkho5659 5 жыл бұрын

He's a French politician XD

@TwelfthRoot2 5 жыл бұрын

I like how @ 41:49 he mentions conductor because a few years ago I was watching a completely unrelated video to math about a classical music awards ceremony in France and a pianist that I admire (Cyprien Katsaris) was getting an award. Well I spotted Dr. Villani in the the crowd. Of course I emailed the video to him for confirmation. He confirmed and laughed because I recognized him. Dr. Villani used to be a serious piano student when he was younger.

@1vootman 2 жыл бұрын

Aside from being a genius, He's an excellent teacher...something really needed these days.

@friedrichbaumgarten8886 6 жыл бұрын

His introduction has so much of literary beauty; I know he has quite high brow a literaric background but fairly unexpected; it is something mathematicians rarely have

@tulliusagrippa5752 3 жыл бұрын

Thank you Cédric for a fascinating and very illuminating lecture.

@LetsDark 7 жыл бұрын

The missing slides at ~ 37:50 are very frustrating. :(

@koenigmagnus 3 жыл бұрын

Yes, we have to rely on his description.

@albertoohashi489 7 жыл бұрын

Amazing presentation about Nash achievements with simple words

@sedgieroobets 5 жыл бұрын

Beautiful presentation.

@aldoramirezzamudio5515 7 жыл бұрын

Very Good, easy explanation for something complicated. Congrats.

@amg2u 6 жыл бұрын

What a delightful introduction to this most engaging speaker. I may have remembered more maths had I been taught by in such a way.

@jerbiebarb 6 жыл бұрын

What a mind - to be so expertly conversant! What an enlightening video! thank you.

@tobalaba 4 жыл бұрын

Thank you Cédric and Royal Institution, from Argentina.

@behrad9712 2 жыл бұрын

Everytime I watching the Cedric seminar I wish I become a mathematician...! He's a wizard!👌

@u.v.s.5583 7 жыл бұрын

This is one of the best talks I've ever seen!

@robertschlesinger1342 3 жыл бұрын

Very interesting, informative, and worthwhile video. A must see for all interested in the history of mathematics.

@ShenghuiYang 5 жыл бұрын

Both mathematics and this lecture are a piece of art.

@n124lp 7 жыл бұрын

Thanks for a very interesting presentation. It's rather amazing that I or anyone else with a computer and Internet connection can "attend" presentations at the Royal Institution. It is unusual to see a presentation by a distinguished mathematician that intertwines mathematical information with a human story. Had you asked me yesterday, whether I thought that was a good idea, I would have said no, concentrate on the math. Having seen this presentation has fundamentally changed my mind.

@alexvernes9264 3 жыл бұрын

Probablement ne connaissez-vous pas Grothendieck

@krishnamangrati9272 4 жыл бұрын

Such a great lecture on great mathematician. Really not known to those fact, insightful and more respect.

@mrjohnnybond 7 жыл бұрын

missing some slides about the heat equations. very frustrate. otherwise very good presentation! thank you to all who were involved!

@TheRoyalInstitution 7 жыл бұрын

Sorry if this affected your enjoyment of the video. When editing we put in all the slides given to us by the lecturer and don't leave any out!

@mrjohnnybond 7 жыл бұрын

I think the video was very good, and well made too. the missing slides aren't that important, it is weird though that while he is frantically pushing his computer's buttons to illustrate something the video has his face in full. maybe a brainfart of a cameraman?

@metapyziks 7 жыл бұрын

I guess the cameras were all in fixed positions, with none of them showing the projected screen. Edit: Nevermind, they show a shot later on that can see the screen. It really would have helped if that camera was used while he was demonstrating that part.

@Maxander2001 7 жыл бұрын

Agree, I also found it very frustrating to watch him watch his slides. Argghh!

@metapyziks 7 жыл бұрын

True, but overall it was a really interesting lecture!

@alextaramas7872 7 жыл бұрын

Great presentation , really gave me some food for thought and introduced me to some intresting type of math

@yafz 3 жыл бұрын

This is some next level of mathematical exposition! 👏💯🧠

@WarzSchoolchild 7 жыл бұрын

16:55 "Hyperbolic Crochet." In The Hitch-hikers Guide to the Galaxy, an entertaining 'Fiction' by the late Douglas Adams, R.I.P., there are some very large creatures. The width of their "Crochet Thread is standardised at one light year broad The Crochet hooks are five light years diameter by 200 light years length. These very large creatures only exist to make "Hyperbolic Crochet" and they do not understand the concept of "Large". to them everything is a normal size.

@SaMusz73 7 жыл бұрын

Merci Professeur Vilani pour cette superbe introduction dans l'esprit d'un mathématicien, de la beauté de la topologie, de l'analyse. Et pour avoir réussit à nous faire ressentir combien les maths sont aussi une science très humaine.

@TomTom-rh5gk 2 жыл бұрын

Cédric Villani is a great mind and a great speaker. I wish we could heat more of him.

@carolscabinas 6 жыл бұрын

Wow this puts the movie into perspective. Great lecture.

@travelgalaxy8291 3 жыл бұрын

One of the best lecture I have ever heard

@carrickrichards2457 2 жыл бұрын

I am very happy to better understand Nash's achievements. Thank you

@rickebuschcatherine2729 8 ай бұрын

I think my mother, who liked so much geometry, who saw the geometric representions of spaces at n dimentions she would be so pleased to studied John Nash's work... as much as stutied Galois' work! Thanks for this explnanations!

@vicplichota 7 жыл бұрын

I love his lectures, he's brilliant.

@Jennyispoop 6 жыл бұрын

wow, great presentation and fascinating history

@chikezieugokwe7509 6 жыл бұрын

This is beautiful.. I have always loved John Nash. Who else noticed the large spider on his jacket?

@alanmodia 4 жыл бұрын

One of my favorite You Tube videos of all time.

@scin3759 7 жыл бұрын

Very impressive description of how some mathematicians prove big theorems. Break the problem into smaller problems and seek the help of experts in different fields. Obviously that necessitates knowing a network of experts. If all mathematicians worked that way, there would be even more impressive results than there are. This is something every young mathematician should be told early on.

@BartAlder 7 жыл бұрын

Wonderful, what a terrific lecture.

@LivingLatexKali 7 жыл бұрын

One thing I would point out is that there *are*, after a fashion, "particles" of temperature, namely phonons. The phononic field even serves as a good model of the higher-order fields to the degree that you can create phononic singularities that precisely model the predicted behaviour of gravitic singularities.

@XiaohuZhu 6 жыл бұрын

brilliant talk, impressive and informative!

@daviddelaney363 2 ай бұрын

Great lecture. Thank you. (also bravo to the many many many ads during playing this great lecture)

@jacksondouglas5694 2 жыл бұрын

brilliant talk !!!

@alexei4204 5 жыл бұрын

Great lecture and storytelling!

@3dge--runner 6 жыл бұрын

This was great! So fascinating and his accent is killer.

@kimtaiferragamo 3 жыл бұрын

wow.........what a great presentation..........thank you!!!!!!!

@velvetthunder8563 5 жыл бұрын

This guy is a great speaker.... i am not a mathematician yet i find this lecture so interesting....

@simonstrandgaard5503 6 жыл бұрын

Great presentation.

@jesmarina Ай бұрын

What a great talk.....just great.

@edwardjones2202 11 ай бұрын

Brilliant talk thanks Cedric

@martinkraegel7965 5 ай бұрын

I needed this math lecture.

@yrebrac 7 жыл бұрын

Amazingly good presenter / science communicator

@robertj.simpson354 7 жыл бұрын

Good point about facing Mecca or any locale; one cannot simply use a straight line connecting one's current locarion with Mecca by using a flat map (usually a Mercator map), rather one must use the map's coordinate system of longitude and latitude to determine the true direction. Yet the length of the line pointing from one's current location to Mecca, even when Earth's coordinate system is duely implemented, may not represent the shortest distance to Mecca since the very opposite direction, a 180 degree turn, may accurately connect one's locale to Mecca along the shortest distance in the right direction, the direction similarly corrected for longitude and latitude coordinates. Calgary and Toronto (Canada) are almost equidistant to London England, but you'd be tempted to think that Calgary would be a couple thousand kilometers more distant while looking at the two Canadian cities in relation to London using a Mercator map, if not considering Earth's coordinates that suitably adjusts for the planet's sphericity. Similarly, the true shortest straight line distance between certain locations on Antarctic with Mecca will require the navigator plotting this to draw a line that actually runs off the side of a Mercator map to reappear on the other side of the map.

@0.618-0 8 ай бұрын

A Beautiful Mind ..... awsome information, for me any way. Great Talk. 👏 👏

@roodborstkalf9664 6 жыл бұрын

Brilliant presentation

@grandhisriharsha3281 4 жыл бұрын

This is the first I'm learning about John Nash's death. So sad :'(

@jesseliverless9811 5 жыл бұрын

"What are you wearing tonight?" "Oh I don't know, probably a tux with a big-ass spider as a measure of good taste"

@PaulMorgan1 5 жыл бұрын

Right? What a character. He somehow pulled it off too lol.

@kevinlyfellow 5 жыл бұрын

"Again? You wore last weekend at the pool party."

@hereiam2005 6 жыл бұрын

He made everyone work for him, yet he is the sole author of the paper. Great guy.

@learnsomeYT 5 жыл бұрын

37:04 the cameran now expects us to picture the graph of the temp on his face. Nice cinematography... Very creative.

@ashoknaganur8551 Жыл бұрын

Nice to know the life style of nash and his greatness

@sallylauper8222 6 жыл бұрын

Yes, "A Beautiful Mind" (both book and movie) really did a disservice to the subject.

@adip8 5 жыл бұрын

I just love this guy!

@xrisku 6 жыл бұрын

love his lectures. please show the animations though.

@dustinsc2023 7 жыл бұрын

I loved the in depth explanation of partial differential equations as well as the different explanations of the formulas, and the geometry of visualizing the extra dimensions. I also loved that Nash did not like the movie since it got so many things wrong, but in a way math is like magic, mysterious and wonderful, as if peering through the mind of god or being able to communicate with the creator, yet at the same time being in awe and wonder as to how it is done.

@hantzu1675 6 жыл бұрын

dustin sc,, mathematics is great science,, nice work for you because you like mathematics

@jimreynolds2399 Жыл бұрын

JFN was asked about the film during a Q&A and he didn't criticize it. He just referred to fact that it had won Oscars etc. I suspect he was being diplomatic.

@amirkhan355 3 жыл бұрын

What a brilliant man!

@wol377 3 жыл бұрын

Every time this guy lost me, he brought me back. Great lecture

@ganeshg8946 2 жыл бұрын

The presenter is very good & feel like living the moment.

@jmafoko 6 жыл бұрын

amazing speech. period.

@Margot4454 7 жыл бұрын

fascinating and fun !

@ProfessorPille 4 жыл бұрын

A gem of a lecturer

@michaelbauers8800 4 жыл бұрын

Casual fans of math have benefitted so much from all the youtube content on math. I don't have the patience to read a book, or a paper on math, but I can get exposure to math via youtube.

@TimmacTR 7 жыл бұрын

I feel like a microscopic being on a flat smooth toruus fractal, incapable of seeing the big picture..

@cinderella9065 7 жыл бұрын

Ah but your insight into your lack of insight is a profound thing, no?

@TimmacTR 7 жыл бұрын

Cinderella Yes, but still all I can see remains the flat surface.. :)

@torresfan1143 7 жыл бұрын

+TimmacTR and hence a straight line could even be a sphere .... oops General Relativity

@nmarbletoe8210 7 жыл бұрын

that's funny because a fractal looks the same at small and large scale ;)

@TimmacTR 7 жыл бұрын

N Marbletoe Good point. In this case, there is no big picture.. ;)

@EgbertWilliams 6 жыл бұрын

Edgar Allan Pi

@jonp3890 5 жыл бұрын

Fibonacci Paganini

@yapadqoi 3 жыл бұрын

Good one!

@AlanDarkworld 5 жыл бұрын

Very interesting, entertaining and inspiring. The outfit worn by the speaker is really peculiar as well.

@richtourist 6 жыл бұрын

Thank God they changed camera view at 37m49s. For moment I thought they were going to show him demonstrating that important unshown thing from one direction all the way through.

@platonaristote7069 2 жыл бұрын

Un de mes mathématiciens préférés !

@TheJayhawkjoe 2 жыл бұрын

That surname + outfit combo tho.. Great presentation of maths but European directness and wry humor make the lecture for me. This channel is absolutely amazing

@kimfucku8074 5 жыл бұрын

Listening to this man makes me feel tiny like a sand corn in the universe!

@herp_derpingson 5 жыл бұрын

This guy looks like if John Wick had a PHD in mathematics

@AE-cc1yl 4 жыл бұрын

it's PhD not PHD

@standowner6979 4 жыл бұрын

@@AE-cc1yl boooooooooo :-)

@smangalisomhlongo5707 3 жыл бұрын

@@AE-cc1yl 🤣

@szolanek 2 ай бұрын

I like his presentation. The idea of the Earth being a sphere is a remarkable hypothesis. I heard about it before

@Research0digo 3 жыл бұрын

A5:59 The best atlas to globe model was envisioned and proved by Buckminster Fuller. Instead of showing Antarctica spreading across the bottom of a map, he has it and all the other continents accurately shown, by merely making the breaks in the flat map where the various oceans and seas are. Keeping his theme of 'dymaxion-everything', he dubs his atlas to globe invention his Dymaxion projection. :)

@bulbmaker 7 жыл бұрын

heat conduction slides are not shown in the video. insane video editing!

@observer7418 4 жыл бұрын

What an interesting and knowledgeable character

@AbdulrahmanMajash 6 жыл бұрын

Glad I read his book

@onderozenc4470 4 жыл бұрын

Embeded spaces, apart from its mathematical significance, can also be postulated in physics as the parallel spaces in 4D space-time whose isotrophy is transfigurated by the gravitational or magnetic fields.

@johnpang5898 2 жыл бұрын

I like how his desktop look, always thought these famous souls organized their desktop beautifully.

@mprencipe 4 жыл бұрын

Just Great!

@shirleymason7697 7 жыл бұрын

Quite interesting. Thank you.

@LefesuRox 7 жыл бұрын

There was no Q&A answer section of this talk?

@richarddeese1991 5 жыл бұрын

I don't know enough about the world of mathematicians to know who this gentleman is (to my loss, I'm sure), but I like him. He seems to have a nice since of humor, is earnest & engaging, & is passionate about math (always a good thing!) I had no problem understanding his French accent - it was quite pleasant, in fact. I'm not bothered by showing equations on the screen - apparently unlike most people [I don't REALLY believe that it's "death" to show equations in a book or at a talk, anyway.] So, I very much enjoyed his talk, and would like to know more about John Nash. I would like to see more talks by Mssr. Villani. tavi.

@tomgreg2008 5 жыл бұрын

His name is Cédric Villani.