Modular Forms and Representation Theory - Ken Ono - 2016

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  • Опубліковано 21 гру 2024

КОМЕНТАРІ • 19

  • @jupytr1
    @jupytr1 2 роки тому +4

    If it's Ken Ono, it's an automatic watch. Another wonderful video!

  • @NumberWorld
    @NumberWorld Рік тому +2

    *Thank You very Much for keeping this Great Content running*
    *Learner keep coming back to this, each time with different thought, connect the Dots, get new leads*
    *thanks again* 😃😃😃

  • @bsatyam
    @bsatyam 2 роки тому +5

    So many seats are empty! I would've loved to be there.

    • @ritahall8148
      @ritahall8148 8 місяців тому

      It is too easy to get lost during a live lecture. I prefer to watch UA-cam. Being able to pause and rewind parts is helpful.

  • @tomhiller5736
    @tomhiller5736 7 років тому +5

    Thank you so much for this! Great to see it all connected, and in historical (& personal) context.

  • @johnstfleur3987
    @johnstfleur3987 3 роки тому +1

    THANK YOU PROFESSOR.

  • @chandleroakes3299
    @chandleroakes3299 7 років тому +1

    Awesome.

  • @ritahall8148
    @ritahall8148 8 місяців тому

    Wow.

  • @peturadunga
    @peturadunga 5 років тому +2

    at 4:33 in the lecture when he says a unit, in the expression algebraic integral unit, what would unit be?

    • @whatno5090
      @whatno5090 3 роки тому +2

      algebraic integer whose multiplicative inverse is an algebraic integer

  • @naimulhaq9626
    @naimulhaq9626 6 років тому +3

    Absolutely breathtaking and beautiful presentation.
    Ramanujan practiced meditation (Vaishnav yoga) from an early age, encouraged by his mother and grandmother, who were followers of Namagiri (Vishnu's consort) also known as Laxmi or Saraswati, goddess of knowledge, culture, strength etc., his mother sang in the local temple at Namakkal dedicated to Namagiri.
    Physical reality is mathematical in structure,said Max Tegmark and others and mathematics is the queen of sciences. Physicists discovered the laws that govern the reality, based on discovery of the laws, rules, algorithm of mathematics. That man can discover the mysteries of creation is in itself a spellbinding fact. We discovered that a single probability wave function govern everything in the universe,how everything in the universe is quantum mechanical in nature, how planets move around their sun, how the stars move around the galaxy, how photosynthesis produce food for all the plants, how migrating birds navigate by entanglement, how tadpoles grow limbs shedding their tails by tunneling, how our five senses, our brain, every one of our cells employ quantum computing capability for us to survive and evolve. We also discovered how phase transition transformed non-life matter into life (due to self-organizing property of matter), similarly we discovered how the universal quantum field self-simulated intelligent conscious observer that collapsed the field into fine tuned particles (matter), creating life and human consciousness with perfection and with probability one, implying Divine purpose and how man and god are entangled.
    It is not surprising that under conducing situation god would impart divine knowledge of mathematics to Ramanujan, with no university training/qualification, having been able to make divine connection.
    Vishnu is the cause of the evolution of the world and is the conjoined essence and object of meditative wisdom and active virtue (karma).[Vishnu Purana]
    That Ramanujan's mathematics should explain black holes, genetics etc., can only be a divine blessing and a divine gift, by which divine purpose is fulfilled.

    • @kavankachoria1699
      @kavankachoria1699 6 років тому

      Naimul Haq it's very hard to stop national pride that emerge while watching this.

    • @naimulhaq9626
      @naimulhaq9626 6 років тому

      National pride is OK, but I am saddened to find most Indian miss the point that after the battle of Kurukhetra in 1500-1200 bc, the Kuru destroyed the Yadav and replaced Sanatan religion of Krishna with the Semitic religion of Hinduism (quite different from Sanatan [real Indian pride]) and rep[ace Vishnu with Semitic Rama. I hate when Indians make the ULU sound like the Iraqis. No offence meant.

    • @kavankachoria1699
      @kavankachoria1699 6 років тому

      Naimul Haq ram was always the ideal for everyone....i don't think there is anything wrong with ram being aspirational....after all he is maryada purshottam and should be imitated.

    • @naimulhaq9626
      @naimulhaq9626 6 років тому

      Vishnu Purana records those who taught you to imitate Ram is termed 'evil Kuru'. India became great imitating Vishnu's 'meditative wisdom and active virtue (karma), preached by Krishna 9500 bc', imitated by me.
      What happened to Vasudeva Vishnu, what message Ram has for you, to imitate? You cannot even imitate the Semitic ULU sound, like the Iraqis, it is disgraceful and insulting and humiliating, proves you have been subjugated by the Kuru.

    • @kavankachoria1699
      @kavankachoria1699 6 років тому

      Naimul Haq ram teaches u integrity, the value of one's vows and to put nation and people before self....he is a case study of an ideal king and his kingdom i.e ramrajya.....i don't think u know anything about ram.....and what kuru and vishnu puran are u talking about....there is nothing like that in vishnu puran.