Edward Frenkel: Langlands Program and Unification

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  • เผยแพร่เมื่อ 19 ต.ค. 2024

ความคิดเห็น • 49

  • @1vootman
    @1vootman 2 ปีที่แล้ว +17

    This guy is a great lecturer, thank you.

  • @henryzorrilla5711
    @henryzorrilla5711 2 ปีที่แล้ว +3

    The last 5mins of this are gold! 👏🏾👏🏾👌🏾👌🏾

  • @manueldelrio7147
    @manueldelrio7147 4 ปีที่แล้ว +13

    Great speaker and great topic!

  • @xTh3N00b
    @xTh3N00b 4 ปีที่แล้ว +11

    Absolutely great talk.

  • @franzswitches
    @franzswitches ปีที่แล้ว +7

    His accent makes this lecture 10x better ☺

  • @xyzct
    @xyzct 2 ปีที่แล้ว +3

    That was *AWESOME.*

  • @edart9017
    @edart9017 2 ปีที่แล้ว

    Thanks for that talk. Great & full of Heart.

  • @idolgin776
    @idolgin776 3 หลายเดือนก่อน

    Great presentation! I am trying to learn some.of the topics rhat you have covered, and it was wxtremely helpful!

  • @JohnSundman
    @JohnSundman 3 ปีที่แล้ว +5

    That guy is the real deal.

  • @sonarbangla8711
    @sonarbangla8711 ปีที่แล้ว +5

    Edward should explain how the branches are connected by a common thread. He explains a bottle casting many shadows on various walls, but no one knows what is the bottle. I have watched many videos but Edward never explains the common thread. Is the prime function of the zeta the common thread?

    • @nitroemi
      @nitroemi 11 หลายเดือนก่อน +2

      This common thread must be L-functions.

    • @SilentAdventurer
      @SilentAdventurer 10 หลายเดือนก่อน +2

      Prime function of the zeta is an L-function. All L-functions have their own Riemann hypothesis.

    • @scarlettestanley4304
      @scarlettestanley4304 7 หลายเดือนก่อน

      Nope.
      He can't explain the common thread because he is mystified by the
      relationship between 1, 2 and 3...
      (Hence his 'counting problem'.
      He cannot fathom a correlation between 2, 4, 6 and 8, leave alone an equation to predict primes.
      This guy can not only NOT COUNT TO NINE, he cannot see a connection between the words cubic and cube. He is "astounded" by the fact the adding one and then subtracting one had lead him back to zero.
      He cannot define a difference between a circle, an elliptic or a square and still seem lightyears away from discovering the link between a cube and a square.
      Definitely something wrong with his algorithm.
      Also, ye seems to to be under the illusion that Edward Snowdon is a mathematician.
      Anyway, maybe he'll get there....and figure out that adding or subtracting zero and zero equals zero.
      I'm not too worried about him getting lost in the abyss of infinite numbers because he will never figure out how he got from zero to one to two....
      Phew...it must be so difficult to memorize so many mathy sounding words and string them all together without having ever even seen a string leave alone a common thread.....he's never even left the cross hairs if
      x and y.
      Zero point guy. Stay away from complex numbers like one.

    • @Achrononmaster
      @Achrononmaster 3 หลายเดือนก่อน +2

      The common thread is that all algebraic curves (or varieties) have a group structure, and one can study that over a number field, like ℚ, or even a finite field 𝔽. The link to harmonic analysis is via automorphic forms, harmonic analysis attempts to decompose automorphic forms to provide a relationship to Galois representations.
      In slightly plainer English: curves can go through special points (like rational coordinates) which relates solutions to algebraic equations to a number field, but those solutions have a group structure, and there could be a representation of that group in terms of the symmetries (invariances) of some sort of special class of functions in analysis (the automorphic forms).

    • @Svuem
      @Svuem 2 หลายเดือนก่อน +3

      ​​@@scarlettestanley4304 I love how there's at least one comment like this under every math Video. Is this some rare type of mental disorder?

  • @juan-fernandogomez-molina645
    @juan-fernandogomez-molina645 2 ปีที่แล้ว +6

    The Gauge-like and duality characteristics of classical and quantum electromagnetism with Lie groups and harmonic analysis will give us the unified underlying mathematical structure.

    • @SilentAdventurer
      @SilentAdventurer 10 หลายเดือนก่อน +2

      Ok, how?

    • @sisyphus_strives5463
      @sisyphus_strives5463 6 หลายเดือนก่อน +6

      @@SilentAdventurer it looks like this comment section is too small to contain his proof

  • @NoNTr1v1aL
    @NoNTr1v1aL 3 ปีที่แล้ว +2

    Amazing video!

  • @renatohugoviloriagonzalez4881
    @renatohugoviloriagonzalez4881 3 ปีที่แล้ว +1

    Las Matemáticas desde México, mi vida trata de zambullirse en toda esa plenitud que la conforma gracias a la recopilación Histórica Actual.

  • @deagovisesa9503
    @deagovisesa9503 4 ปีที่แล้ว +12

    Damn i love him !

  • @steventiau
    @steventiau ปีที่แล้ว +1

    Great 👍

  • @sakatre3762
    @sakatre3762 10 หลายเดือนก่อน

    Great Talk

  • @artcamloz
    @artcamloz 11 หลายเดือนก่อน

    Does a(p) = b(p) for non prime integers?

  • @yashiAxen39
    @yashiAxen39 2 ปีที่แล้ว

    its a little bit a pitty that Your 4 videos of the langlands programm dont show the board and the calculations on it. This made me not watching further cause i couldnt read the board. Best wishes and its such a nice topic for our human race. Thank You

  • @erepr1633
    @erepr1633 4 ปีที่แล้ว +2

    Excellent lecture

  • @nur-fueru-tube6174
    @nur-fueru-tube6174 6 หลายเดือนก่อน

    This is transforming Bach into mathematics

  • @Pablo_Toulouse
    @Pablo_Toulouse ปีที่แล้ว +2

    Dans les 2 dernières minutes, c’est un homme pieu qui nous parle. Langlands est son prophète et les mathématiques sont son Paradis. Ainsi soit-il.

  • @davidwilkie9551
    @davidwilkie9551 9 หลายเดือนก่อน

    "You just look at it, and you notice.." that modulo-geometrical representation of entangled numbers are Renormalized along the z-axis condensing-collapse of parallel line-of-sight superposition identification.., keeping in mind that the numbers are multiples of the general state of unity and how e-Pi-i log-antilog interference positioning condensation operates in wave length Sublimation-Tunnelling jumps of time-timing Aether. (Preliminary spacing design or superimposed frequency-density-intensity superposition self-defining Conjecture)

    • @kateknowles8055
      @kateknowles8055 8 วันที่ผ่านมา

      What can time-timing be? Could it be I might have met you in Uxbridge in 1981? Tom Sharpe's Wilt reader?

  • @diktakt1187
    @diktakt1187 27 วันที่ผ่านมา

    20 10 Disque unité

  • @asamenechbayissa553
    @asamenechbayissa553 2 ปีที่แล้ว +2

    I want to clap loudly

  • @davidwilkie9551
    @davidwilkie9551 9 หลายเดือนก่อน

    Modulo-geometrical identification of a unity-circular function in elemental e-Pi-i has plasma logarithmic strata alignments in Red-Blue holographic relative-timing ratio-rates vanishing-into-no-thing Perspective. Roughly speaking.., it's a coherence-cohesion complex picture, not simply default numerically mathematical the way we are conditioned to think of math at school, ..and rote learned formulae work well, a Tabulated Matrix => holography, in chemical compositions because it's a time-timing condensation modulation cause-effect mechanism, for flash-fractal coherence-cohesion sync-duration, all-ways all-at-once instantaneous transverse trancendental picture of elemental function e-Pi i-reflection.

  • @robertlast5189
    @robertlast5189 ปีที่แล้ว +1

    I suspect that this audience is wondering why they are there!

  • @pmcgee003
    @pmcgee003 ปีที่แล้ว

    7:15 for anyone not 'in the know' .. the juxtaposition is to (eurgh) donald trump.

    • @AvanaVana
      @AvanaVana ปีที่แล้ว

      I mean that was also my knee-jerk reaction, but could there be someone in the mathematics community that he is instead referring to?

    • @pmcgee003
      @pmcgee003 ปีที่แล้ว +1

      @AvanaVana I understand from twitter that there are any number of candidates in the maths discipline ... but none of them would in any way approach the visibility of the great turnip.

  • @claudiamanta1943
    @claudiamanta1943 10 หลายเดือนก่อน

    It’s deeply disheartening to see people otherwise intelligent completely wasting their time and missing the point.
    Do you want an unifying model? Get rid of the concept of zero, the irrational numbers and all the rest of the narcissistic projections of academic brains, and use only 1-9 (inclusive). It’s so simple that any of the ‘smarties’ would struggle no end with it 😄

    • @ujawaladimbleujawaladimble5825
      @ujawaladimbleujawaladimble5825 5 หลายเดือนก่อน

      Hahaha..
      Your computer this comments are wrote in uses I and 0 in most explicit way..
      We will go to stone age without 0..
      Complexity of calculations..??

  • @kamilziemian995
    @kamilziemian995 3 ปีที่แล้ว

    2:00 Possible the first woman that was professor of mathematics was Maria Gaetana Agnesi (1718-1799), but this subject is far from being clear.
    en.wikipedia.org/wiki/Maria_Gaetana_Agnesi

    • @kateknowles8055
      @kateknowles8055 8 วันที่ผ่านมา +1

      Thank you for this comment