Koebe 1/4

Koebe 1/4

PK 3:  Emily Riehl

PK 3: Emily Riehl

PK 5:  Oliver Knill

PK 5: Oliver Knill

PK 2:  Benedict Gross

PK 2: Benedict Gross

PK 6:  Curtis McMullen

PK 6: Curtis McMullen

PK 4:  Barry Mazur

PK 4: Barry Mazur

Lecture 13

Lecture 13

Lecture 25

Lecture 25

Lecture 1

Lecture 1

Lecture 25

Lecture 25

Lecture 24

Lecture 24

Lecture 23

Lecture 23

Lecture 22

Lecture 22

Lecture 21

Lecture 21

Lecture 20

Lecture 20

Lecture 19

Lecture 19

Lecture 18

Lecture 18

Lecture 17

Lecture 17

Lecture 16

Lecture 16

Lecture 15

Lecture 15

Lecture 14

Lecture 14

Lecture 13

Lecture 13

Lecture 12

Lecture 12

Lecture 11

Lecture 11

Lecture 10

Lecture 10

Lecture 9

Lecture 9

Lecture 8

Lecture 8

Lecture 7

Lecture 7

Lecture 6

Lecture 6

Пікірлер

  • @user-cu9ww9tj4i
    @user-cu9ww9tj4i28 күн бұрын

    우리의 감각이 우리보다 더 똑똑할거에요.

  • @davidhand9721
    @davidhand97212 ай бұрын

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

  • @imaltenhause4499
    @imaltenhause44992 ай 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
    @SandmanDP2 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?

  • @Kram1032
    @Kram10322 ай 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
    @swamihuman93952 ай бұрын

    - I can't give this a big enough "thumb up" 'Like' !!! :) <3

  • @averagemathenjoyer3021
    @averagemathenjoyer30215 ай бұрын

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

  • @Will-Ch
    @Will-Ch6 ай бұрын

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

  • @user-ry2qs7xf9k
    @user-ry2qs7xf9k9 ай бұрын

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

  • @Unidentifying
    @Unidentifying11 ай бұрын

    Love his clarity.

  • @jenamartin6157
    @jenamartin615711 ай бұрын

    This stuff is so pretty

  • @wen7605
    @wen7605 Жыл бұрын

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

  • @francescos7361
    @francescos7361 Жыл бұрын

    Flatlandia in math is important to me , topology too and also underlying structures.

  • @michaelrichie5
    @michaelrichie5 Жыл бұрын

    I stopped listening fairly early because of the varying sound, the voices faded out, and understandable

  • @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.

  • @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

  • @NoNameAtAll2
    @NoNameAtAll22 жыл бұрын

    what an active gentleman I hope his head won't pop off by the end of the video due to all this movement

  • @NoNameAtAll2
    @NoNameAtAll22 жыл бұрын

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

  • @brendawilliams8062
    @brendawilliams80622 жыл бұрын

    Thankyou

  • @brendawilliams8062
    @brendawilliams80622 жыл бұрын

    Thankyou

  • @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-Ch6 ай бұрын

    porq la complicación ???

  • @imrematajz1624
    @imrematajz16246 ай бұрын

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

  • @alieser7770
    @alieser77702 жыл бұрын

    this is golden

  • @johansebastian660
    @johansebastian6602 жыл бұрын

    Me encantaría estudiar en esa universidad

  • @kehlanirylee1369
    @kehlanirylee13692 жыл бұрын

    Hanging out with you is always fun.

  • @souravrakshit4062
    @souravrakshit40622 жыл бұрын

    Pranam Sir

  • @BlueSoulTiger
    @BlueSoulTiger2 жыл бұрын

    Wow. Thanks for posting Koebe Quarter. I think what we have here is more evidence of a model teacher (who's now adapting to teaching remotely).

  • @sambhunathdey4367
    @sambhunathdey43672 жыл бұрын

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

  • @ayushkumarjais2483
    @ayushkumarjais24833 жыл бұрын

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

  • @happyrogue7146
    @happyrogue71463 жыл бұрын

    who else spotted Simon Donaldson seated in the front row?

  • @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 !

  • @jnk3775
    @jnk37753 жыл бұрын

    It’s so beautiful, difficult but very interesting!

  • @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.

  • @guibaroleo
    @guibaroleo3 жыл бұрын

    muito bom

  • @kenichimori8533
    @kenichimori85333 жыл бұрын

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

  • @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-sj3hb6mb2j3 жыл бұрын

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

  • @chuchobalderas5530
    @chuchobalderas55303 жыл бұрын

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

  • @Thomas-cat
    @Thomas-cat2 жыл бұрын

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

  • @stevenhernandez8966
    @stevenhernandez89663 жыл бұрын

    I love his conclusion: from simple rules comes something complex (& beautiful), and that is not so obvious to us.

  • @prototropo
    @prototropo4 жыл бұрын

    Professor Hubbard brought a gorgeous explication to the Mandelbrot set. Fractal scalar recursions appear with such ubiquity in the world’s imagery and visual exuberance, they are made even more interesting with some understanding of the discursive mathematics by which they happen. The Mandelbrot is a great complement of cosmic design when paired with the esthetics of the Fibonacci series. Borrowing Professor Hubbard’s eloquent homage to simplicity as the mother of complexity, I find the generative mathematics of the Golden Ratio, derived from Fibonacci’s {1, 1, 2, 3, 5, 8, 13 . . . } sequence of procursive approximation, a little more compelling, but equally gymnastic with Mandelbrot in the patterns of nature so endearing to H. sapiens. Here we are, 40,000 years on, still endlessly fascinated with seashells and shorelines, entranced with the beauty of spirals and riveted to the grace of symmetry, irregular or exact. Look there-over that dune, a pair of old friends, Fibonacci and Mandelbrot, strolling along the very beach where Newton looked for shiny pebbles, and where, a century and one-half later, Darwin gazed out, not on the spirals of shells, but on the oceans of eons that finally launched his own inklings. The random but meaningful, inanimate but eloquent, lines and shapes and dimensions of the world are just cause for pleasure and wonder, until we assign ciphers, or numbers, to them, paradoxically clarifying their relationships and our understanding of their function. They are even insinuated throughout our thinking, navigating and evolving, such that they allow us to reciprocally insinuate ourselves into fractals, meta-reflexively compounding our abstraction of nature through numbers by anthropomorphizing numbered abstraction for use as tools, art, conceptual aids and literary devices. We are semiotically harboring, anchoring and even launching our understanding of nature into the real-time, brick-and-mortar natural world. The world made us who we are and now we think we are the world. Our fate now is in our numbers, not in our stars, but in our understanding of stars. Go figure. And that is the sound of one recursion, branching in a spiral mirror. Who knew?

  • @mendelovitch
    @mendelovitch3 жыл бұрын

    Wow! You write like a poet.

  • @prototropo
    @prototropo3 жыл бұрын

    @@mendelovitch Thank you very much, but I probably need an editor more than the second glass of wine-she’s the author of my surplus adjectives.🙃

  • @DaveFash
    @DaveFash4 жыл бұрын

    kzread.info/dash/bejne/hXh91tGzcsWtZ9o.html

  • @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
    @radeonportal80022 жыл бұрын

    just put in more terms it's still less

  • @Criterion5
    @Criterion54 жыл бұрын

    The shark like most multicellular life is a torus. Ever since evolution discovered gastrulation.

  • @alphatensor
    @alphatensor Жыл бұрын

    The a actual genus could be 2 or more considering the gills.

  • @jherbranson
    @jherbranson4 жыл бұрын

    This is great. Thank you.

  • @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
    @amberheard28694 жыл бұрын

    nerd

  • @radeonportal8002
    @radeonportal80022 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.

  • @Karch.Dah-Veed
    @Karch.Dah-Veed4 жыл бұрын

    This chap sounds EXACTLY like the Incel Rebellion fella who ran down all those people in Toronto. Asperger's?

  • @user-de7lm9jo9h
    @user-de7lm9jo9h4 жыл бұрын

    kzread.info/dash/bejne/nqaMj82Qn9bdgKQ.html&lc=z23dyxeykzb5wbbx104t1aokgcucedf3fmzprapvswhqbk0h00410 Poincare Conjecture,Hamilton,perelman

  • @adamferrell505
    @adamferrell5054 жыл бұрын

    lovely talk

  • @efraimcardona8452
    @efraimcardona84525 жыл бұрын

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

  • @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.

  • @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.

  • @Eyesofthebeholder214
    @Eyesofthebeholder2145 жыл бұрын

    Oh my if only I were smart enough to get this. Interesting. Cheers.

  • @jacobrafati4200
    @jacobrafati42005 жыл бұрын

    This was a beautiful talk. Thanks a lot.

  • @raunaksarada
    @raunaksarada5 жыл бұрын

    nobody is talking about cedric vilani😁😂