Terence Tao: Nilsequences and the Primes, UCLA
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- เผยแพร่เมื่อ 10 ก.พ. 2025
- Terence Tao is UCLA's Collins Professor of Mathematics, and the first UCLA
professor to win the prestigious Fields Medal. Less than a month after
winning the Fields Medal, Tao was named a MacArthur Fellow. The following month, Tao was named one of "The Brilliant 10" scientists by Popular Science magazine, which called him "Math's Great Uniter" and said that "to Tao, the traditional boundaries between different mathematical fields don't seem to exist." His Colloquium is titled "Nilsequences and the Primes."
The UCLA Science Faculty Research Colloquium Series is designed to
promote interdisciplinary research.
The Series is sponsored by the Department of Mathematics,
UCLA College
I am jealous about Tao, in a kind way. His life is so meaningful. A talent that cannot be bought.
Neither can be achieved ! It's Only exceptionally gifted !
He has autism .
@@prathamlokhande2215 the talent didn't give him the knowledge yes he is with really great talent and serious working
Notice how quickly Professor Tao grasp the gist of questions from the audience? Even with longer questions, he knows exactly where the idea is going within the first 15 seconds.
As he mentioned in this video Hardy was known to have said that his area of mathmatics was his favourite as it was pure math and had no application in practice what so ever. Little did he know that all of encryption would hang on the work he did in the 1920's. Terry Tao is working on stuff now that very few understand or probably even know about. Who knows what things his current work will lead to in the future.
"conjecture that every odd number bigger than 7 should be the sum of three primes"
"what is big?"
"10^1346"
"so theres a gap that people are still trying to fill"
i spat my drink all over my laptop when you said that, thank you so much!
This man is the definition of intelligence.
As Tao said "the primes are on a dense set" of the unit circle, therefore they cannot "conspire"
I've often felt that prime distributions are fractal; so, after finally found something about Terence Tao's work(I've been trying to read up on the mathematical activity of the twentieth century where there hasn't really been an E.T. Bell to sum everything up including the philosophy and history of everything; so, i'be been reading lots of fields medalists and the solvers of Hilbert's problems), I feel like my hunch is stronger now(the primes are more about dynamcal systems than not).
Deterministic, yet random...
Terence Tau is a ROCK STAR !!!!
i like this guy.. he's got a nice vibe to him..
He does have a very intelligent face!!
What a great mathematician
Only if I would get what is he talking about... well I get but very little... :( Its definitely great to know there r people who expand current perception of mathematics. I keep fingers crossed for folks like Terence, u r another great thing for this world to happen! I just hope your ideas wont be exploited and misused.
wow this video was published on that year on the same date when i was born
Outstanding mathematician!
Entanglement in QM-TIMESPACE.
Central Limit Eternity-now, Superspin Universal Connection, Resonance Positioning by e-Pi-i interference-entanglement-> "numberness-> Prime sequence of Spinfoam bubbles => Period Tabulation of Elemental coherent cohesion objectives in pulsed superimposed self-defining cause-effect format, binding resonances, sub sequences of obits and orbital.
Because, observe 2 is prime-by-default, as condensed liquid Ideal Gas points of antlog-twoness-> center of Twin Primes 1&3, so 4 is a similar liquid of 1&3 resonance bubble. 5 is a center of 1+2+3 bubbles and so on for 7 etc, but 9 is a conglomerate of 3 sets of 3-2-1-0Duration bubbles in a square of 4, of liquid-entangled time duration timing modulation interference positioning Image condensation, and probability distribution properties of Prime bubble, Inflation +/-, Hologram.
And so on, "to Infinity, and beyond" ordinary Perspective to the meaning of Real-ization, mathematically, not "just like in the Movies", be-cause it's Actuality cause-effect here-now-forever Hologram.
(Maybe the device Jodie was in was a specificly tuned Sieve-> fundamental memory association)
n=1,234,567,890 has 5 prime factors 2.3.3.5.3607.3803; 5 NE ln(ln(n))~3. n=1,111,111,111,111,111 has 6 prime factors 11.17.73.101.137.5882353; 6 NE ln(ln(n)) ~ 3.5; not a very good approximation. Terence is theorem correct ?
The number of prime factors counted with or without multiplicity is not alway near to log(log(n)) and he never said such a thing. However, its normal order and asymptotic mean is equal to log(log(n)), see for instance en.wikipedia.org/wiki/Normal_order_of_an_arithmetic_function
He seems to be very smart. I like him.
Does he? I dunno man, seems pretty average to me.
@@alephnull4044 If he is average then im idiot sandwich
i know: (that additive prime structure is statistical in nature.. and multiplicative lends itself to proofs (clever insights) etc.)
that's why i have always felt the goldbach is statistical in nature. aka the amount of partitions of a # grows so quickly with N that the probability that one of them isn't dually prime gets so small so fast that all that has to hold are the first 100 or so before the chances of any futures not holding vanish faster than the chance over a large time can accumulate.
genius, respect..
alright, someone give me the all spark shard. i'll show him who's a genius
Tao = The Way
I think he's really, really, really fucking smart. World renowned mathematicians have said in interviews that he is the best mathematician of the modern age, and he was ranked as the 18th smartest person to have ever existed in 2010.
at 43:30 how could the primes possibly "conspire" in the case of a 1/2pi rotation? Every point visited is a different one in this case.
You can do things only for a joke (the math things), in that moment these things can not be fully useful,
but so much ideas that was developed only for fun have turned on so much useful ideias/techniques...
This is the pleasure of the advanced maths, maybe 20 years from now anyone can discover a grandful use for these maths, and we will need live persons
to 'decypher' this (the books, the studies)
do you think terrence tao would beat me up if he found out i had a solution to goldbach and the riemann hypothesis but was sitting on it due to fear of publishing it with a mistake and someone else correcting it and beating me to the punch?
he looks kind of like bruce lee so i am petrified.
54:40 he mentions quadratic polynomials, or parabolas, but one has to wonder if he has the quadratic formula completely memorized!
a high schooler should have that memorized, let alone Terence Tao. Even the Arrhenius equation is standard for undergraduates
How did u add that te instant?
Have you ever tried to work the prime numbers represented on the circumference as a Fractal, what would be the fractal dimension of prime numbers?
It is 0 since primes are countable.
It would be 9
i was joking but if economics equation includes words and they talk rather usual, math uses minimalistic - symbols -approach. much like fortran vs cobol . and ofc non-understanding shows in the formulation of the question itself, right ?
More more more
You got the right attitude my man.
Does he give this kind of overview lecture to attract students or grants or what?
the unproved famous conjecture that he talked about here 7:06 has been proven in 2013.
Are you familiar with his work or just parotting what you heard?
laaaaaaaawl introduction taken RIGHT from wikipedia, how ironic after all the universities tell us never to cite wikipedia...
if you notice alot of smart people have big heads because their brains are filled with knowledge
At the trivial zero x = -2 of Riemann's zeta function are all the second twin prime numbers existing?
Your question doesn't make any sens.
now, want makes him so good in math?
His brain of course, but HOW! :)
If the amateur observation and tentative conjecture of temporal continuity function e-Pi-i as real existing "numberness",
..is a sufficiently acceptable aknowledgement of Euler's intuitive arrangements and usage of these symbols,
..to define the density and intensity of "primary" states superimposed relative to simultaneously coordinated one and zero roots of probability,
..in a continuous interval of all potential possible combination of relative "mathematical" amplitude and frequency,
Of/by self-defining logarithmic synchronicity-> functional condensates..,
then what is observed as "The Universe", is a Polar-Projection condensed -focussed image, of logarithmic coordination of/by this temporal connection.
(I have not yet encountered any expositions of what happens when circular-hyperbolic geometries congeal that make a better conception of "priming" temporal existence, but Prof Tao has at least made a start)
@qwertypluss lol don't be jealous, he's doing amazing things and he, himself, is an amazing man.
hell ya
ok, im in 8th grade advanced algebra classes. and this just hurts my brain by just looking at the symbols =_=
Windows? honestly prof. Tao, I ever think that you was more a Slackware guy.
is that high
?
@liadon666 im not sure u got my post... but im definately sure I dont understand yours.
i have no idea most of the thing he talk about :(
25:00 jaja parecen jeroglíficos
th-cam.com/video/6HCz1tFqIcs/w-d-xo.html
i don't doubt hes genius , but i doubt i could understand his lectures in UCLA
Curious how It'd be if asspergers patients weren't mathematicians.
👏👍😍
@Khaos969 I was thinking that on the last video I saw lol
Probably the most droning and sleep-inducing voice I've heard for a long time!
@niceguy95451 lol? he studied that in elementary school yrs
@scottvska He isn't a professional public speaker, he's a mathematician and a genius. I wouldn't call him socially awkward like the other person who replied to you did, but what I would call him is not frequently speaking to the public or to large audiences. You could probably talk to him just fine if it was you and him, it would be like talking to a friend. Almost everyone will react differently when being watched by a crowd.
Yes, for a person with an IQ of 230, he has some difficulty getting the words out
His verbal iq is much lower than that
@qwertypluss However jealousy is usually thought of us bad, like you want to have his abilities and leave him without it. I just thought you meant something else, maybe envy would be a more mellifluous and pleasant word. :)
@niceguy95451
Hi, Number Theory is an amazingly exciting branch...(one of the oldest) One aspect of it is sometimes the extreme contrast of stating a clear problem, but solutions are very hard to find.
Color me dumb as I'm no math genius. But I still don't get what all the fascination is with prime numbers. What would unlocking their secrets mean for science and technology?
yes, check on google if you dont believe me
A genius, Tao cannot be a human, may be Martian.
@Baustrophedonic I dont. The real question is do I care... no... I just thought it was funny
@eheister2006 What?
This guy has a 220 IQ.
If I was that smart, I wouldn't be wasting time studying prime numbers. I'd be inventing stuff with new ideas.
Well clearly you aren't very 'smart' at all. Two things you're missing: intelligence in one area does not generalise to extreme proficiency in everything intellectual, and one has to have a passion for what they are doing to be successful.
By your logic, everyone who is intelligent and likes money should be millionaires. They're not.
😁💚
Tao, Tau, coincidence anyone?
His brain works to quickly for his mouth..
His IQ is 230.
But he couldn't possibly be Bruce Lee! Bruce Lee was human...
he speaks math = fast 'n short. I can't understand . if I could I'd solve his problems ..
@lauratwilight1 And what :/
PROBLEM OF MATHEMATICS IS ARE TO SOLVE ONLY IN BIBLE
OLD AND NEW TESTAMENT
so shiny
Or maybe he just gets fucking nervous. You ever think of that?
Do you think he'd give a shit, considering anyone with a pocket calculator can do that?
So brilliant but so lacking in social skills. Not surprising, but kind of unfortunate because he would be an amazing speaker if only he talked in a more natural and relaxed way. Then again, almost no one can really relate to him anyway so I guess it probably doesn't matter.
@leethemadmanshannon LOL..
Oh really? do you have ANY idea as to what mathematicians do? If you don't please don't rant uselessly. Your remark is insulting to a mathematician.
And for the record, pure mathematicians (Like Terry Tao here) do "invent" tools that help others actually come up with new stuff. IF you can check out Terry's work on Information theory, and then come here and say he is practically useless.
@qwertypluss Because it would be insulting to say he is only one brain. Lol xD
test
Zzzzzzzzzzzz Zzzzzzzzzzzzzz...
Whoa, haven't snooze that well since I was 3 years old.
Doubtful. He is so entrenched in academia culture that giving talks about his specific niche of interest is virtually routine.
he stammers in every video
cutee
tommy1729 proved RH
He is a mathematical genius, but he is not verbally fluent. He stammers and his voice quivers.
Asian........
... only as children, not as adults, smarter people tend to speak less and slower.
notwithstanding, speech speed is not congruent to speech patterns
Just like mental vision has little to do with physical vision
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