Lecture 1 | Introduction to Riemannian geometry, curvature and Ricci flow | John W. Morgan

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  • เผยแพร่เมื่อ 29 ธ.ค. 2024

ความคิดเห็น • 68

  • @sebster100
    @sebster100 7 ปีที่แล้ว +153

    Who dislikes a video like this? It seems to me anybody who finds such a specific video on mathematics would be content to have a lecture of any form about it.

    • @ian_b
      @ian_b 5 ปีที่แล้ว +15

      Probably some of those are bad taps on phone screens. Or maybe people who are trying to indicate to YT they aren't interested in videos like this.

    • @readingRoom100
      @readingRoom100 4 ปีที่แล้ว +4

      @@ian_b I pressed dislike because I dislike his rhetorical questions and such questions in general lol

    • @tuanvu3654
      @tuanvu3654 4 ปีที่แล้ว

      Don’t care about them. They make themself hilariously.

    • @Yatukih_001
      @Yatukih_001 4 ปีที่แล้ว +1

      These are people who do not want humans around social media. They want social media to be used mostly by bots. They want the only ones on social media to be people who fund those who program the bots, etc.All politics.

    • @alihakimtaskran7809
      @alihakimtaskran7809 3 ปีที่แล้ว +1

      Their brains overloaded then they disliked

  • @mehrdadassar2542
    @mehrdadassar2542 4 ปีที่แล้ว +12

    J.W.Morgan is a great mathematician and a great lecturer too.

  • @active285
    @active285 ปีที่แล้ว +1

    Thank you for sharing this well-structured and pointed lecture!

  • @와꾸2
    @와꾸2 5 ปีที่แล้ว +11

    This video makes me smarter.I would like to know more things about ricci flow.thank you for uploading this

  • @francescos7361
    @francescos7361 2 ปีที่แล้ว +1

    Thanks for this educational contribution . Ricci' s curvature in fluid topology and string theory , node and categories , geometric entropies and combinatory too .

  • @antonienewman9379
    @antonienewman9379 5 ปีที่แล้ว +56

    Riemann was a genius

  • @diggdogg5378
    @diggdogg5378 10 ปีที่แล้ว +17

    im completely in the dark with this... but im also intrigued and blown away by it.

  • @Mignuke
    @Mignuke 5 ปีที่แล้ว +5

    Thank you for posting the lectures!

  • @felixobiang4820
    @felixobiang4820 4 ปีที่แล้ว +3

    Just Beautiful.

  • @rafisics
    @rafisics 5 หลายเดือนก่อน

    Can anyone share the whole playlist of this lecture series?

  • @jchen5803
    @jchen5803 4 ปีที่แล้ว +2

    What are the prerequisites for understanding this course? (I just finished the mathematic analysis and linear algebra course)

    • @JacobGaiter
      @JacobGaiter 4 ปีที่แล้ว +4

      These lectures require quite a bit of tensor calculus. I recommend xylyxylyx or eigenchris, they each have comprehensive series on this subject and cover quite a bit more than the scope of this lecture too.

    • @gnewb9658
      @gnewb9658 3 ปีที่แล้ว +1

      @@JacobGaiter thank you

  • @TheGLADIATORTR
    @TheGLADIATORTR 5 ปีที่แล้ว +5

    me:professor! prof: yes? me:how did i come here from a beach party video?

  • @BelarbiLakehal
    @BelarbiLakehal 10 ปีที่แล้ว +7

    C'est un cours bien détaillé

    • @psibarpsi
      @psibarpsi 3 ปีที่แล้ว +1

      C'est bon pour toi, non?

  • @peterlev6172
    @peterlev6172 9 ปีที่แล้ว +3

    can anyone tell what is the prerequisite to read what is taught in the lecture?

    • @micahmcclimans4757
      @micahmcclimans4757 9 ปีที่แล้ว +6

      aman ku Differential geometry and manifolds and some exposure to basic Riemannian Geometry.

  • @ahmadrezakhazaie6305
    @ahmadrezakhazaie6305 4 ปีที่แล้ว +1

    What are the Prerequisites of these lecture series?

    • @MattBarlow
      @MattBarlow 4 ปีที่แล้ว +1

      You should be familiar with some differential topology, mainly a large number of definitions.

  • @amandafajardo3282
    @amandafajardo3282 4 ปีที่แล้ว +3

    Thank you very much!
    Is there more lectures?

    • @OpenLektorium
      @OpenLektorium  4 ปีที่แล้ว +1

      Part 2: th-cam.com/video/yqwlAOTUKGc/w-d-xo.html

  • @JohannSuarez
    @JohannSuarez 5 ปีที่แล้ว +8

    So Ricci Flow is not a rapper?

  • @DiegoAndrade
    @DiegoAndrade 11 ปีที่แล้ว +3

    Who is the speaker, great content and so well explained... thank you for posting

  • @deleogun1717
    @deleogun1717 10 ปีที่แล้ว +1

    good lecture!

  • @vijayakumari4284
    @vijayakumari4284 2 ปีที่แล้ว

    Nice

  • @anjham
    @anjham 4 ปีที่แล้ว +1

    A primary school lecture in the Soviet Union comrades!

    • @Tyuiiiizxvb
      @Tyuiiiizxvb 6 หลายเดือนก่อน

      Stop talking nonsense.The Soviet Union was long dead by then!

  • @guitarheroprince123
    @guitarheroprince123 9 ปีที่แล้ว +11

    I understood nothing other than a vector. M n high school guy and I came here to get some help understanding general relativity. But I was dumb all over

    • @guitarheroprince123
      @guitarheroprince123 9 ปีที่แล้ว

      Thanks

    • @MadHadda63
      @MadHadda63 7 ปีที่แล้ว +3

      If you want to understand general relativity, if you know multivariable calculus, I would recommend starting with Leonard Susskind's lecture on GR.

    • @ShahFaisal-hd1re
      @ShahFaisal-hd1re 5 ปีที่แล้ว +1

      These are graduate level topics usually done in Differential Geometry--iii course. So if you dont understand anything its ok. I would suggests the following good reference for differential geometry and relativity but still you need to go through a lot of stuffs in order to get it: books.google.de/books/about/An_Introduction_to_Riemannian_Geometry.html?id=oV4qBAAAQBAJ&printsec=frontcover&source=kp_read_button&redir_esc=y#v=onepage&q&f=false

    • @fawzyhegab
      @fawzyhegab 5 ปีที่แล้ว +1

      @@ShahFaisal-hd1re Nice to meet you Shah! Nice coincidence hahaha

    • @ShahFaisal-hd1re
      @ShahFaisal-hd1re 5 ปีที่แล้ว

      @@fawzyhegab hahah ya, a nice coincidence.

  • @rainrain3694
    @rainrain3694 2 ปีที่แล้ว

    wow

  • @lowersaxon
    @lowersaxon 3 หลายเดือนก่อน

    You have to know already what he is talking about. Then its quite entertaining. If you dont know what a manifold, metric, etc. is then its a waste of scarce life time.

  • @alexanderrrurrer9072
    @alexanderrrurrer9072 10 ปีที่แล้ว +3

    На русском есть чтото подобное ?

    • @Suav58
      @Suav58 5 ปีที่แล้ว +2

      Конечно. Если у вас есть осмысленный вопрос в этой области, или же лишь знаете названия и смысл главных понятий (хотя-бы и приблизительно) тогда вы найдёте и с пользой отслушаете. Что же касается языка доклада, кажется, что без него продвигаться в науке весьмя затруднительно. Сам доклад производит впечатление сверки часов. Докладчик даёт отчёт о том, что почти всем слушателям известно. Суть в методике представления. Попадает под "сверка часов".

  • @sytalsbtw3061
    @sytalsbtw3061 2 ปีที่แล้ว

    Watching 40 seconds of this and I already feel like I can skip a couple of grades. And I don't even know how to pronounce the topics name right.

  • @krokenstiv8777
    @krokenstiv8777 2 ปีที่แล้ว

    very complicated

  • @VTRON99
    @VTRON99 28 วันที่ผ่านมา

    Ah yes i understand some of those words lmao.

  • @abenedict85
    @abenedict85 2 ปีที่แล้ว

    never use water on a chalk board.....

  • @topuzrabia408
    @topuzrabia408 3 ปีที่แล้ว

    Bir şey anlamadım ama olsun

  • @gloriosatierra
    @gloriosatierra 3 หลายเดือนก่อน

    The idea is evident, but the scripture does not make any sense. 🕯📜✍️🏼

  • @mohammadrafee3314
    @mohammadrafee3314 6 ปีที่แล้ว +1

    Frustrating lecture. It will be more better to read books on this topic. But I appreciates at least he (Sir) dares to explain the Riemannian Geometry.

    • @rorylewis1309
      @rorylewis1309 6 ปีที่แล้ว

      Interesting that you first say you are unable to understand a beautiful lecture but then offer advice ... huh!? Covariant Derivatives are a fundamental requirement for undergraduate-level electrical engineering curriculums. First view this video (miss the comedy at the beginning of the video th-cam.com/video/MOSv0FR7fRU/w-d-xo.html ) and then come back to this beautiful lecture and you will understand.

    • @chymoney1
      @chymoney1 6 ปีที่แล้ว

      Rory Lewis well that’s because many people take the derivative without ever having to learn its convariant

    • @rorylewis1309
      @rorylewis1309 5 ปีที่แล้ว

      @@chymoney1 I grant you that but isn't it the point that we want to create a manifold with n-dimensions? To publicly dismiss the great John Morgan when one themselves is unable to understand the man is disappointing to say the least.

    • @huisun3716
      @huisun3716 5 ปีที่แล้ว

      what the heck do you know...

  • @agath8a508
    @agath8a508 4 ปีที่แล้ว +2

    You are not a divulgator, man! And I understand you don't mean to be one. Otherwise you wouldn't have forgot to tell what the prerequisites are for understanding your lecture. You appeared to me - I apologize for that - as just someone who likes writing on a blackboard as fast as possible. Why, prof, why are you doing that?. You intented to help the uninitiated? Clearly no. In what way you can help those who have some knowledge in the field? Who can read all that in a book? Is yout video better a a book (maybe written by you)? Really, I don't get it. I'd like if you explained it to me.

  • @medievalmusiclover
    @medievalmusiclover 7 ปีที่แล้ว +1

    What is doing a Communist, Leninist, Stalinist, and, Ras-Putin publisher on You Tube?

    • @Suav58
      @Suav58 5 ปีที่แล้ว

      @Cosmic Landscape And yet it has to do with social setup. Spencerianism and Trotskyism are setting us socially up on a manifold of negative curvature.

    • @Suav58
      @Suav58 5 ปีที่แล้ว

      @Cosmic Landscape Nothing intrinsically bad about "hyperbolicity". The problem is with people, who use it to get away with (what was it one was getting away in an English idiom?...) by using it in dynamical systems and control theory. Otherwise is so full of beautiful symmetries. Some people got carried away by the insight and think they are gods, which I don't like.