The evolution of geometric structures on 3-manifolds.

Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at the IHP in Paris. Part of the Clay Annual meeting, May 2010. In honor of Grigori Perelman's solution to the Millennium Prize problem on the Poincare' conjecture.

Пікірлер: 54

  • @averagemathenjoyer3021
    @averagemathenjoyer30215 ай бұрын

    Gromov, Smale, Atiyah, Wiles, Donaldson sitting in the front row... just wow

  • @BlueSoulTiger
    @BlueSoulTiger5 жыл бұрын

    Flawless presentation: articulate, content-rich, engaging slides, great visualisations, inspirational, speculative, wide-ranging (Dante's Inferno, S J Gould on evolution, Littlewood's Miscellany). Leaves you wanting more. Congrats to McMullen, and Thanks Koebe 1/4 for posting.

  • @jacobrafati4200
    @jacobrafati42005 жыл бұрын

    This was a beautiful talk. Thanks a lot.

  • @imrematajz1624
    @imrematajz16242 жыл бұрын

    One of the best talks I have ever listened to! A vastly complex topic brought down to Earth without simplifying, or trivialising it. Masterful! Many thanks.

  • @Will-Ch

    @Will-Ch

    5 ай бұрын

    porq la complicación ???

  • @imrematajz1624

    @imrematajz1624

    5 ай бұрын

    @@Will-Ch complexity leads to beautiful simplification, bridges to a new world view:-)

  • @ayushkumarjais2483
    @ayushkumarjais24833 жыл бұрын

    Happy to see Prof Michael Atiyah and Prof Andre Wiles in the audience.

  • @wehavemoved
    @wehavemoved8 жыл бұрын

    Probably one of the most important impressionistic speeches in human history. Thanks a lot.

  • @naimulhaq9626

    @naimulhaq9626

    4 жыл бұрын

    This is the most impressionist speech, because it corresponds to the unknown algorithm of quantum computing function that leads us to 'determinism' and the fractal nature of reality. The correspondence between Ricci flow and Darwin's evolution was simply electric/divine and mind boggling.

  • @imaltenhause4499
    @imaltenhause4499Ай бұрын

    When I saw this lecture in my suggested videos, I thought: Why on earth wants Google me to watch such an advanced topic, when I usually only watch 3blue1brown, mathologer and numberphile? But then I reached the climax of this lecture: a unification of quantum theory and general relativity. Bravo algorithm! Didn’t see that one coming. By the way: fantastic talk.

  • @SandmanDP

    @SandmanDP

    Ай бұрын

    When I saw this lecture in my suggested videos, I thought: Why on earth is Fidel Castro in the audience of a lecture on 3-manifolds?

  • @jnk3775
    @jnk37753 жыл бұрын

    It’s so beautiful, difficult but very interesting!

  • @adamferrell505
    @adamferrell5054 жыл бұрын

    lovely talk

  • @sambhunathdey4367
    @sambhunathdey43672 жыл бұрын

    Best lecture Unification in real fields should be demonstrate . Thank you From Dr.S.n.dey

  • @naimulhaq9626
    @naimulhaq96264 жыл бұрын

    'All 3-manifolds can be built using just 8 geometries, is a beautiful realization of Ramanujan's magic number 24=3x8, that led him to count all the photons in the whole universe(partition function) given to him by Goddess Namagiri [Vishnu's consort]). There is unity of Poincare's conjecture, Fermat's last theorem, geometrization theorem and modularity theorem. They all are perfectly expressed by Perelman's solution. Beautifully expressed/demonstrated by the speaker by the hyperbolic geometry. Perelman is a singular mind of modern science, like Ramanujan.

  • @amberheard2869

    @amberheard2869

    3 жыл бұрын

    nerd

  • @radeonportal8002

    @radeonportal8002

    2 жыл бұрын

    @@amberheard2869 yeah you are on wrong side of the youtube where peoples brain still resides in the human body ,not likes of you who have theirs in their dick

  • @stonail665

    @stonail665

    Жыл бұрын

    How about ICHING made with 8 set of 3 lines.

  • @blueredandyellow8389

    @blueredandyellow8389

    Жыл бұрын

    I knew it's a pajeet that had to write this

  • @greatkingkay7954
    @greatkingkay79547 жыл бұрын

    Is this a basic for making stained glass windows?

  • @efraimcardona8452
    @efraimcardona84524 жыл бұрын

    Does anyone have details of the simulation of the points converging to the torus by ricci curvature evolution?

  • @brendawilliams8062
    @brendawilliams80622 жыл бұрын

    Thankyou

  • @guibaroleo
    @guibaroleo3 жыл бұрын

    muito bom

  • @mrtertg2603
    @mrtertg26033 жыл бұрын

    Let's wait and see how many years it will take for the physicist and cosmologist to understand this ! ? Especially around 39. min.! The prove by Perelman in 2003 , This talk to honor the prove is in 2010 , now 2021 and still no hope !

  • @naimulhaq9626
    @naimulhaq96265 жыл бұрын

    Spellbing revelations about how mathematics unites quantum mechanics and GR. Beautiful lecture for the wider audience. Proves man and god are entangled. The mind of god invents while man discovers. Coupled with Atiya's non-ugly octonions, this geometry infuses new vigour in me, like Ramanujan's modular functions evolve to give new insights into black holes and more.

  • @geometron3646
    @geometron3646 Жыл бұрын

    @15:50 😂"what Dante didn't realise is you can rotate the universe so that part of the Earth passes through Heaven and part of it passes through Hell" potentially one of the most accidentally insightful comments ever.

  • @souravrakshit4062
    @souravrakshit40622 жыл бұрын

    Pranam Sir

  • @chuchobalderas5530
    @chuchobalderas55303 жыл бұрын

    I have just 1 question, does anybody knows some audio from Perelman? I really want to hear his voice

  • @user-sj3hb6mb2j

    @user-sj3hb6mb2j

    3 жыл бұрын

    Only in Russian, i heard it, nothing special(I understand Russian language)

  • @chuchobalderas5530

    @chuchobalderas5530

    3 жыл бұрын

    @@user-sj3hb6mb2j Could you send me the audio?

  • @Thomas-cat

    @Thomas-cat

    2 жыл бұрын

    @@chuchobalderas5530 just search for his documentary and theres a portion of him talking in russian on phone about halfway down in it

  • @kenichimori8533
    @kenichimori85333 жыл бұрын

    3-manifolds line of inverse is point zeta function ζ(p) = 0

  • @evalsoftserver
    @evalsoftserver4 жыл бұрын

    How About the Kahler Calibu Yau MANIFOLD with Skewed HERMITTIAN metric using RICCI NEGATIVE Scalar curvature on a UNIT DISK 2 SPHERES

  • @radeonportal8002

    @radeonportal8002

    2 жыл бұрын

    just put in more terms it's still less

  • @happyrogue7146
    @happyrogue71463 жыл бұрын

    who else spotted Simon Donaldson seated in the front row?

  • @davidwilkie9551
    @davidwilkie95515 жыл бұрын

    Superb lecture, filled in a lot of gaps in my understanding, thank you. Is the core of the knots referencing a superconducting probability path, ie it's a shape of the continuous creation, pure motion quality of temporal substantiation(?). Or in different words, this is the fabric of String Theory that objectifies spatial positioning calculations, "cutting" and repositioning by quantum tunneling/frequency jumping in units of e-Pi-i, always in the continuous connection of eternal time duration timing, the ultimate cause-effect projection-drawing of mathematical substantiation. "If you come back to where you started" you actually come back to the continuous creation Origin of Superspin Superposition-point connection.., as you should. So it looks like unification, in Totality, to my amateur review. It may seem ironical, but Unification is achieved by the containment of something, pure motion (calculations), in no-thing.., of zero difference in time duration relative timing => compound and conformal "hollow" synchronicity.., and that is thecause-effect objective and superconducting vanishing point of string-particle self-definitions. It cannot be discovered if it's defined by absence. (?) Ie what has the LHC discovered, except for the Higgs Field.

  • @bernardofitzpatrick5403
    @bernardofitzpatrick54035 жыл бұрын

    camera person obviously not a mathematician!

  • @chrislubs1341

    @chrislubs1341

    3 жыл бұрын

    Camera pointing haphazard in providing slide content. Prefer less zooming in on audience heads, or hall pictures, to be replaced with more than a quick glimpse of slides, that was followed by extended shots of McMullen as he spoke about details on the then out of view slide. Perhaps the goal was to record a historical dramatization.

  • @eugenetheant
    @eugenetheant3 жыл бұрын

    Too much of plane switches and too little of the main picture. This should not be a movie. This should be a lecture.

  • @raunaksarada
    @raunaksarada5 жыл бұрын

    nobody is talking about cedric vilani😁😂

  • @bernardofitzpatrick5403
    @bernardofitzpatrick54035 жыл бұрын

    Useless camera work ruins a great lecture!

  • @wen7605
    @wen7605 Жыл бұрын

    I wonder what is the average iq of this room… how dare i click on this video

  • @Kram1032
    @Kram1032Ай бұрын

    Great presentation, terrible use of camera This isn't the kind of event where I need to "add interest" by occasionally viewing the audience while sacrificing the information conveyed on the board. That should always remain visible. I saw this happen sometimes for when a talk shows proprietary stuff not freed for displaying on the internet, but that doesn't seem to be the case here. Somebody just decided that this is how it's done, so we constantly pop away from the slides.

  • @swamihuman9395
    @swamihuman9395Ай бұрын

    - I can't give this a big enough "thumb up" 'Like' !!! :)

  • @abyr1527
    @abyr15272 жыл бұрын

    Grigori Perelman, the man himself was sitting at the front row. So, he's clearly not done with Math yet.

  • @megakeenbeen

    @megakeenbeen

    Жыл бұрын

    Thats not Perelman but Gromov

  • @davidhand9721
    @davidhand9721Ай бұрын

    Why are we watching this guy gesture at something instead of looking at what he is gesturing toward? Wth is that?

  • @NoNameAtAll2
    @NoNameAtAll22 жыл бұрын

    4:17 what an awful time to stop showing main point of attention -_-

  • @user-ry2qs7xf9k
    @user-ry2qs7xf9k8 ай бұрын

    One of the Islamic concept of Heaven and Hell is that they do intersect with this existence.

  • @Will-Ch
    @Will-Ch5 ай бұрын

    G Pareleman, What would he have thought ? . Thanks.