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.

[@BlueSoulTiger]

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.

[@averagemathenjoyer3021]

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

[@henryloisdavilaandrade6247]

¡Increíble! Es grandioso ver a grandes matemáticos, legendas vivas en el público como Stephen Smale y al único en resolver un problema del milenio el grandioso Perelman

[@imrematajz1624]

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]

porq la complicación ???

[@imrematajz1624]

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

[@wehavemoved]

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

[@naimulhaq9626]

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.

[@jacobrafati4200]

This was a beautiful talk. Thanks a lot.

[@ayushkumarjais2483]

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

[@imaltenhause4499]

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]

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]

It’s so beautiful, difficult but very interesting!

[@adamferrell505]

lovely talk

[@sambhunathdey4367]

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

[@naimulhaq9626]

'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]

nerd

[@radeonportal8002]

@@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]

How about ICHING made with 8 set of 3 lines.

[@blueredandyellow8389]

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

[@efraimcardona8452]

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

[@geometron3646]

@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.

[@greatkingkay7954]

Is this a basic for making stained glass windows?

[@naimulhaq9626]

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.

[@guibaroleo]

muito bom

[@mrtertg2603]

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 !

[@brendawilliams8062]

Thankyou

[@kenichimori8533]

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

[@souravrakshit4062]

Pranam Sir

[@chuchobalderas5530]

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

[@user-sj3hb6mb2j]

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

[@chuchobalderas5530]

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

[@Thomas-cat]

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

[@evalsoftserver]

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

[@radeonportal8002]

just put in more terms it's still less

[@bernardofitzpatrick5403]

camera person obviously not a mathematician!

[@chrislubs1341]

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.

[@happyrogue7146]

who else spotted Simon Donaldson seated in the front row?

[@davidwilkie9551]

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.

[@eugenetheant]

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

[@raunaksarada]

nobody is talking about cedric vilani😁😂

[@bernardofitzpatrick5403]

Useless camera work ruins a great lecture!

[@wen7605]

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

[@Kram1032]

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]

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

[@abyr1527]

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

[@megakeenbeen]

Thats not Perelman but Gromov

[@davidhand9721]

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

[@NoNameAtAll2]

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

[@user-ry2qs7xf9k]

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

[@Will-Ch]

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