What is a Manifold? - Mikhail Gromov

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  • Опубликовано: 23 ноя 2024

Комментарии • 144

  • @ManWhoLostTooth
    @ManWhoLostTooth 7 лет назад +20

    This talk is jam-packed with insane content.

  • @aloha5527
    @aloha5527 7 лет назад +61

    Just amazing.. Beautiful mind.. Good explanation! The mathematical education in Russia was great, , but now greatest russian scientist go abroad..

    • @readingRoom100
      @readingRoom100 4 года назад +1

      That's just sad and needs to be turned around

    • @MrKarpovy
      @MrKarpovy 3 года назад +5

      @@readingRoom100 Why? So they would have less time to do math? Russia does not offer optimal conditions for scientists nowadays. And not everyone can be satisfied with a bare minimum, like Perelman.

    • @readingRoom100
      @readingRoom100 3 года назад +1

      ​@@MrKarpovy It's unfortunate that we have to communicate in english; I rather speak in Russian or Chinese. At any rate, when understood correctly, my comment meant for the conditions of mathematical research be "turned around". This way, there will be less of a brain drain on Russia, which will in turn benefit the average Russian citizens. However, I guess I do mean that some Russian scientists must "turn around" and go back to Russia, particularly those who are required in the valiant effort to revitalize Russian science. And I imagine that willing leaders among this group would not complain about present conditions, deteriorated as they might be. After all, such leaders work to usher in better conditions.

    • @readingRoom100
      @readingRoom100 3 года назад

      @Jayce Decker Wow, it worked! And why does Jerry Hudson and Jayce Decker sound the same person lol

  • @Maria-ms8sr
    @Maria-ms8sr 6 лет назад +29

    one of the most brilliant personalities of our time (but the accent is quite savage to follow, even for a Russian national like myself)

    • @JaGWiREE
      @JaGWiREE 5 лет назад +2

      I agree, on both notes, lol.

    • @spacelogisticsinc468
      @spacelogisticsinc468 3 года назад +1

      To me, his accent is like seasoning on a steak. 👌
      - Not a Russian

    • @sthetatos
      @sthetatos Год назад

      Try Yuri Manin.

  • @NataliaSkorokhod
    @NataliaSkorokhod 9 лет назад +51

    Ah! the joys of watching math lectures with built-in RUclips subtitles :D
    Hours of amusement.

    • @vincentzevecke4578
      @vincentzevecke4578 8 лет назад

      +Nabil Bouhmad His mathematical papers are very hard to read. His papers are very are not straightforward.

    • @M37AL6667
      @M37AL6667 8 лет назад

      +Nabil Bouhmad but.. but. but.. but.. but.. these essentially the last question, yow

    • @chandrapandey822
      @chandrapandey822 6 лет назад

      vincent zevecke
      Haha that's very true I guess that's quite common among Russian Mathematicians except maybe Prelemans paper on Ricci Flow that was very clear and beautiful

    • @ashishshukla9760
      @ashishshukla9760 6 лет назад

      Bill Thurston is also there.

    • @BartAlder
      @BartAlder 5 лет назад

      non-Aryan table services made me lol.

  • @tomlynd8836
    @tomlynd8836 8 лет назад +34

    At 5:53, is it Cédric Villani by any chance sitting at the left corner?

    • @gogyoo
      @gogyoo 8 лет назад +1

      yep

    • @itsRAWRtime007
      @itsRAWRtime007 7 лет назад +16

      wild villani appears

    • @Tadesan
      @Tadesan 7 лет назад

      Tom Lynd his accent is also atrocious. do they not teach pronunciation to non native English speakers?

    • @seanki98
      @seanki98 7 лет назад +14

      His accent is fine

    • @seanki98
      @seanki98 7 лет назад +1

      Tadesan No, you are not being patronising at all!

  • @mrtertg2603
    @mrtertg2603 2 года назад +5

    I watched this recently and my intuition is that his talk goes far more deeper than Perelmann s proof of Poincare conjecture in dims 3 . It would be great to be able to follow his way of thinking properly . But I ll come back and try again , it is worth another try .

  • @sanjursan
    @sanjursan 6 лет назад +7

    Fascinating. But I'm slow. I would love to see a transcript, in English hopefully, so to more easily ponder over each huge idea that he drops like bread crumbs behind as he darts through the forest of that part of mathematics. Any chance?

  • @indunaNo1
    @indunaNo1 10 лет назад +35

    It takes 150 years for math to be turned into tradeable products. Gauss discovered the key mathematics for image and video production in 1800's ( the fast fourier transform) . His ideas power the video we are watching. It will take us another 150 years before Gromov's ideas result in employment.

    • @indunaNo1
      @indunaNo1 9 лет назад

      yes, agreed, applied maths has immediate applications, I was thinking more of the more abstract areas that
      seem to have a long incubation period.

    • @SerBallister
      @SerBallister 9 лет назад +1

      indunaNo1 I thought Fourier transforms were based off Taylor series ? I could be wrong though.

    • @cristhianda-silva8346
      @cristhianda-silva8346 7 лет назад +2

      Are you a mathematician man I am from Pincenton's advanced studies institute. I would like to send you several of my works

    • @colonelburak2906
      @colonelburak2906 7 лет назад +1

      indunaNo1 Even that is not generally true. Example: Gromov hyperbolic graphs are very abstract and discovered recently, but yet they are important in the analysis of social networks, or the design of electrical circuits in modern computers.

  • @ghazan555
    @ghazan555 8 лет назад +4

    Very nice Talks and I wish , I will do PhD Math (Commutative Algebra or Algebraic Number Theory ) .But I am unable to fined PROFESSOR..
    very very nice people are there

  • @DaveAllenmason
    @DaveAllenmason 8 месяцев назад +2

    I dont understand hardly anything he is saying but wow , brain smashed.

  • @vimalk78
    @vimalk78 7 лет назад +10

    prof cedric villani 5:55 first row corner seat

    • @AmalgamatedTensor
      @AmalgamatedTensor 3 года назад

      I mean that front row also features Smale, Nirenberg, and Thurston. Pretty OP

  • @josephzizys
    @josephzizys 12 лет назад

    The conference at which this talk occurred was a celebration of that fact.

  • @souravrakshit4062
    @souravrakshit4062 3 года назад +2

    Nice explanation sir

  • @OnceUponASpace
    @OnceUponASpace 12 лет назад +4

    Yeah I realised that after the fact - he was making a joke about his former skepticism of it :) Actually I really liked the lecture, the content was fascinating and the guys sense of humour and epistemic humility was inspiring...

  • @alexcwagner
    @alexcwagner 12 лет назад +7

    Who spliced frames of Tyler Durden in this video?

  • @M37AL6667
    @M37AL6667 8 лет назад +7

    5:41 Matrix failure..

  • @jnk3775
    @jnk3775 3 года назад +1

    Mathematics is always beautiful...!

  • @juspreetsandhu8446
    @juspreetsandhu8446 Год назад

    @5:58 - A young and keen Cedric Villani in the audience!

  • @naimulhaq9626
    @naimulhaq9626 5 лет назад

    Resorting to topology to visualize 4 manifold, compels us to take gymnastic lessons from Orangutans, twisting and turning, yet visualization alludes us. Topology provides some deep insights in group theories/number theories etc., but not 4-dimensions. There are other Technics in mathematics, that we can use. Ramanujan raised the q-series to powers of 24 to count all the partition of N (counting for example, all the photons in the universe-which is a QC function), useful in the mathematics of quantum computing, that utilizes infinite points on a circle, providing superposition of infinite states (qubits), enabling 'determinism' of chaotic complexity.

  • @sura2513
    @sura2513 7 лет назад +1

    i can't understand what it mean face Manifolds

  • @angelaniu5908
    @angelaniu5908 Месяц назад

    My boyfriend plays this video every time I tell him I can't sleep at night.

  • @infinit42652
    @infinit42652 10 лет назад +5

    На русском, я так понимаю, такой лекции не предвидится ? Спасибо Михаил Леонидович.

    • @ticTHEhero
      @ticTHEhero 6 лет назад +1

      Никаких лекций тебе

    • @mikhailmikhailov8781
      @mikhailmikhailov8781 4 года назад +1

      Маэстро Микаэль Громов дает лекции только на франсуа ун инглиш, если тебе не нравится, ехай в Нью Йорк или Париж и жалуйся там ему лично, что он говорит на языке мировой науке со своими иностранными коллегами, а не на русском.

    • @АлександрБондаренко-ъ8г
      @АлександрБондаренко-ъ8г Месяц назад

      Да тут английский -одно название 😢. Уровень 8 класса среднеобразовательной школы. Все понятно, но не уверен , что понятно англоговорящим 😅. Так что приятнее,конечно же , слушать Маэстро на его родном языке.

  • @Hbdhhkkj
    @Hbdhhkkj 6 лет назад

    Gromov's non-squeezing theorem of 1982, means rigid geometric theory? 1985 perhaps.

  • @sergelawrencenko9701
    @sergelawrencenko9701 8 лет назад

    Surprisingly, there was only one question after the lecture.

  • @vadimium
    @vadimium 9 лет назад

    Так много лекций Громова, и нет ни одной с переводом

    • @samowarow
      @samowarow 9 лет назад +10

      Вадим Цукерман Те, кому эти лекции интересны, английский должны знать по умолчанию. Наука говорит на английском.

  • @OnceUponASpace
    @OnceUponASpace 12 лет назад +1

    Oops! Sorry prof - Poincare conjecture has been proved, so it's probability of being true is now 1 XD

    • @shoopinc
      @shoopinc Год назад

      MEASUREMENT UPDATE

  • @bernd32
    @bernd32 11 лет назад +1

    ...de point about matematik in general is completely...как бы...

  • @abhiramdeva1417
    @abhiramdeva1417 2 года назад +1

    There are a lot of manifolds in pornography

  • @doublepin1917
    @doublepin1917 Год назад

    Михаил Абрамович, это вы?

  • @jedediahjehoshaphat
    @jedediahjehoshaphat 11 месяцев назад

    He's like the Slavoj Zizek of Mathematics

  • @TheJayJohn85
    @TheJayJohn85 10 лет назад

    I mean as a lay man I think of differential equation as a shape changing form or some shit is this crazy thoughts or what....Anyone who can answer that be much appreciated.

    • @TheRevAlokSingh
      @TheRevAlokSingh 3 года назад

      I'd say that's a good way to think of it

  • @comprehensiveboycomprehens8786
    @comprehensiveboycomprehens8786 7 лет назад

    It's pretty entertaining but I don't think that it will catch on.

  • @thabangjosephkotelo8243
    @thabangjosephkotelo8243 8 лет назад +5

    What is a manifold?Well its like folding a page,but more than one time..............lool

    • @neildhan
      @neildhan 8 лет назад +1

      Well I liked it at least. It maybe took 4 months, but you get a thumbs up now. :)

  • @zukerman87
    @zukerman87 10 лет назад +1

    explosion of the mind

  • @fizikchy
    @fizikchy Год назад

    Greetings to Bill! :))

  • @jarekkurczewski-wasp3069
    @jarekkurczewski-wasp3069 10 лет назад +3

    What is a Manifold = Ⓠ ♔
    Spinor and Plateau billiards­ = Ⓠ ♔
    1 2 3 4 Mathematical Structures arising from Genetics and Molecular Biology = Ⓠ ♔
    1 2 3 4 5 6 Probability, symmetry, linearity = Ⓠ ♔
    Michał Gromov = ♛

  • @bobopokomono-nu3gv
    @bobopokomono-nu3gv 7 месяцев назад

    what a treasure.

  • @davidwilkie9551
    @davidwilkie9551 6 лет назад

    If there was to be a Feynman type guess at "knowing it when you see it", then it's going to be a Quantum Geometric, sequential order of probability in possibility, as begun for the Polar-Cartesian connection condition.
    The 1-0 axial-tangential interval divides&multiplies simultaneously in superimposed symmetry of "numberness", because it's about the sequence of e-Pi-i identities, like Cantor's infinities. 1-0D Quantum Fields Modulation Mechanism is visually similar to shapes forming in clouds, except for the complexity of eternity-now Superposition and infinite numerical conglomeration.
    If the trumpet shaped spacetime of gravity fields is 1-2ness combinations of "pipe", and the cross-section of the x-y 2D orthogonal plane on the 1-0 z axis are 2×2 i pipe sub-sections of 0-1 Superspin, then this is the transition from 1 to 2 to 4 ... pipe Manifolds (?) "As simple as possible, but no simpler"...

  • @tyler-iy4jk
    @tyler-iy4jk 6 лет назад

    a topology with an atlas duhh

  • @manooko
    @manooko 11 лет назад

    robert bryant in the audience.

  • @ShivamNadimpalli
    @ShivamNadimpalli 6 лет назад

    Brilliant!

  • @stoicepictetus3875
    @stoicepictetus3875 4 месяца назад

    Putler cannot even stand in the shade of this man.

  • @viktoriahabarova4746
    @viktoriahabarova4746 6 месяцев назад +1

    Приятный

  • @jesuschristignorantracistf387
    @jesuschristignorantracistf387 9 лет назад +5

    WHY IS IT WHEN THEY ZOOM IN ON THE AUDIENCE SOMEONE IS PICKING THERE NOSE OR THERE EYE S OR THERE EAR AND THEN EAT IT GET A SANDWICH AT THE LUNCH ROOM WILL YA OR THEIR SCRATCHING SOMETHING AND SNIFF THERE FINGER LIKE WE DONT SEE IT .I HAD A TEACHER WHEN I WAS IN DETENTION AFTER SCHOOL SHE WOULD EAT HER EYE WAX AND FINISH HER MEAL WITH NOSE PUDDING FOR DESERT

  • @nobonespurs
    @nobonespurs 9 лет назад

    oh yeah easy to hear

  • @RougeWaterPoloPlayer
    @RougeWaterPoloPlayer 9 лет назад +2

    gromov sounds exactly like zizek

    • @mappingtheshit
      @mappingtheshit 9 лет назад +12

      +RougeWaterPoloPlayer LOL, totally different accent, manner, and for god's sake, totally different subject

  • @jimelias5046
    @jimelias5046 9 лет назад

    Great!
    I know know what a "foil menufolt" is, in that strange language of "teepolougy"!

  • @jeanblanco9773
    @jeanblanco9773 7 лет назад +1

    The theory of sphere is belony it doesnt explained the mass irregularity on the quantum theory

  • @TheJayJohn85
    @TheJayJohn85 10 лет назад +1

    Ignore that last comment as soon as he was on about the groups and abelian and all sorts of shit I don't understand I tuned in. Why is youtube linking me all these damn videos lol. I understand how geometry is connected to topology well its like a extension but I still don't understand these transform and shit man this is crazy shit to get from a cartesian plane you'd think they find a easier way to describe shape and transforms....translations or whatever. I mean wtf is a manifold its a field which is a shape of some description? Excuse me I am a lay man that keeps getting these types of videos on my youtube feed I probably should not watch them,

    • @comprehensiveboy
      @comprehensiveboy 8 лет назад

      I agree, it's difficult to decide whether the difficulty lies in the thing itself or the failure of various people to explain it.

    • @Chasmify
      @Chasmify 7 лет назад

      I don't understand what you expected? This is obviously directed towards mathematicians.

  • @jordans962
    @jordans962 2 года назад

    Hey, that orangutan is not nearly as exceptional as me! 🇧🇬, 🇧🇬🇺🇸,🇺🇸,🇺🇸🇧🇬.

  • @avinashbandpatte3630
    @avinashbandpatte3630 2 года назад

    How mathematician sit quietly and leasning what othere mathematician is saying but physicist not like that he starting tebate on that😁

  • @mechwarreir2
    @mechwarreir2 8 лет назад +1

    I can't understand shit, i dont even know if I can trust closed captioning.

    •  8 лет назад +1

      c'mon! Beardo's accent sounds nice. I'm a non-native and still understand him. You should try chinesse's accent.

  • @밖에춥다
    @밖에춥다 2 года назад

    ㄷㄷ

  • @anatolykarpov2956
    @anatolykarpov2956 Год назад

    His accent is very hard to follow with😢

  • @OrangutanNationz
    @OrangutanNationz 12 лет назад

    Dribble....

  • @AZTECMAN
    @AZTECMAN 4 года назад +1

    Painful to watch: many visual glitches.
    Difficult to listen to: thick accent.
    Confusing: wandering train of thought.
    Maybe this guy is really good (and it went over my head), but I wouldn't recommend this video to anyone unless I was trolling.

  • @iop151
    @iop151 10 лет назад +6

    I can't understand this accent

  • @CarmenEverywhere
    @CarmenEverywhere 8 лет назад +3

    His english is incomprehensible. What he is saying is so disjonted

    • @florin604
      @florin604 6 лет назад +7

      I can understand perfectly, and english is my 3-rd language.

    • @steliostoulis1875
      @steliostoulis1875 6 лет назад

      @@florin604 me too

    • @remlatzargonix1329
      @remlatzargonix1329 5 лет назад

      Carmen Everywhere .....Not really. I have no problem understanding his English.

  • @alexduval4740
    @alexduval4740 8 лет назад

    Continuing to calculate to an infinite point... to perfection (story of modern math), meanwhile reality collapses around you...
    Has the patron of this video actually seen or experienced working with any living matter ever, anything at all?, anytime?, why worry about possible genetic relationships revealed by your "nuisance" science.

  • @Appmaths2008
    @Appmaths2008 10 лет назад +3

    Nothing transparent, not good presenter...sorry but losing time of the listeners...

  • @embracinglogic1744
    @embracinglogic1744 10 лет назад +4

    If you are a student visiting from McMaster University, I have this to say ESPECIALLY to you. As a long-time math student, I would respect a lot of what he is saying. However, the truth is that jobs are difficult to get in math, pay is minimal and competition is incredibly high. I question why we should learn or even care about this if none of this will be used by almost any of us to help support ourselves and our families and pay the bills. These are the real-life and important issues, NOT this garbage! And I say this as a long-time math student. THIS IS GARBAGE!!!

    • @GavinoFelix
      @GavinoFelix 10 лет назад +9

      Well, when the mathematician in question is not only an Abel Prize recipient but has a Permament position at IHES, maybe we proles' would best listen a little harder...

    • @embracinglogic1744
      @embracinglogic1744 10 лет назад +2

      Gavino Felix
      I assume you are mathematician, because your response is completely ambiguous and unrelated to my comment. Good for him that he has a permanent position at IHES, but only a very small percentage are so fortunate and prestigious. The rest are Postdocs (i.e., Temp Workers) who usually have few real life skills that may be demanded in industry, or struggling to find good careers. I question and regret learning all this abstract nonsense when there is little demand for it in the job market and even less demand for it in real life. Bottom line is that for the majority of us, knowing this nonsense DOES NOT PAY THE BILLS!!!!!! I don't know how much more clear I can be.

    • @GavinoFelix
      @GavinoFelix 10 лет назад +14

      Jason Haradyn I definitely agree with you w/r/t the American Education System/Capitalism taking advantage of post-docs, adjunct professors, etc. What really moves me about this lecture (and the few other 'casual' lectures of his posted on youtube) is that he has nothing to prove and no one to impress - we're getting a once in a lifetime chance to witness a 'great mathematician' not constrained to rigor and formality.
      More and more I'm realizing that math is and never was just the theorem-proof style presented in textbooks. Textbooks and rigor are great and wonderful, but there's something lost when the social element (talking to other people excited about math, shooting ideas off of one another, 'going out on a limb' with an idea...) of math is silenced.
      Unfortunately, my opinions, sentiments, reactions, etc. are likely heavily distorted by the fact that I'm in my late 20's and going to school at a community college here in the States. Between stocking grocery store shelves and enduring the U.S. required 'calculus' track before I'm permitted to study 'more advanced mathematics', i'm pretty worn down by the time I find myself with free time. It's just comforting to know that somewhere in the world, people are permitted and encouraged to think without constraints.

    • @embracinglogic1744
      @embracinglogic1744 10 лет назад +1

      Gavino Felix
      Great comment, with some amazing insights. I just want people to know that these days they must consider the education they are receiving and also choose education that has minimal gaps with careers. Unfortunately, the gaps between pure mathematics and the job market, i.e., the real world, are too large, which these days makes me question -- Why?? Why the large gaps? Why do I even care about this theory? Why? Unfortunate, but reality.

    • @gigiduru125
      @gigiduru125 10 лет назад +10

      If you can learn all that math, you can surely get a decent job in software development, data science or whatever if you start learning about those fields.

  • @monoman4083
    @monoman4083 7 лет назад

    Rubbish

    • @wonggaakeoi7168
      @wonggaakeoi7168 7 лет назад +1

      shut your fucking mouth up!!! 收你個聲 死蠢

    • @sdfdsf4162
      @sdfdsf4162 Год назад

      r u from UK, sir&