Terence Tao: Vaporizing and freezing the Riemann zeta function
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- Опубліковано 26 лип 2018
- 22 giugno 2018 - Terence Tao, professore alla University of California di Los Angeles e Medaglia Fields 2006, parla delle sue ricerche sull'ipotesi di Riemann, uno dei più importanti problemi aperti della matematica.
Brilliant! I love that the structure of the presentation shows the general problem solving mentality that the researchers have gone through to achieve these results. Not just generalizing the problem but also how they generalized is so interesting.
When there are no questions, it means your lecture is so difficult nobody knows how to even ask
Or was so easy, that there was no need for questions and everything was 100% clear...
@@rema_style Yeah......I don't think it is this option
Someone like this guy, lecturing a class without any shame of appearance with those hideous sandals.. how can you care for others when you have no dignitiy left.
@@ANGUS2nd Maybe he cares more about math than arbitrary perceptions of his appearance.
@@macicoinc9363 haha obviously
A magnificent and inspiring talk!
he talks so fast, my brain can barely catch up.
Starts at 7:52
Is Tao sure about this? what if we can't get the zeta function back?
The suggestion that the functional equation alone is inadequate for proving the Riemann hypothesis is gold if it's correct. It's Terry Tao, so there is a good chance that the advice is correct.
This is known since the Hildebrands examples from the 30s.
58:51 Question it's said starts here
As Tao explains RH zeta function I could hear Pythagoras scream "see I told you number is every thing in nature. What a beautiful lecture.
The relationship to the heat equation attracting/repelling zeroes is very intriguing...
So the zeta function lies directly on the line between gaseous and solid...perfect, how could it be anything else
Great lecture!
Incredible
I have those exact same Birkenstock sandals. Great minds think alike.
Kudos!! :)
PERFECT TIMING.
Thank goodness I am not that smart. 👍for the Professor
Binocular parallel coexistence assessment along line-of-sight z-axis condensing-collapse of i-reflection +/- logarithmic spin potential => Polar-Cartesian self-defining infinitesimal coordination-identification positioning system.., Physics-Math Observation.
The mention of evaporation-condensation modulation cause-effect immediately brings to mind the oscillation of a pendulum and precession, how one swing plane shifts to another, and how this relates to the Unit Circle modulo distribution of prime-cofactor frequency density-intensity.., and how all together you can identify the s-p wave-packaging in Earthquake propagation, linear-transverse oscillation etc.
Euler's Entanglement Fusion-Fission Function "says" the Universe is logarithmic and presents the picture-plane of Superspin Modulation of axial-tangential superimposed frequency-amplitudes aligned in i-reflection linear-transverse precession wave modulation containment superposition.., so of course +/i-inflation is 3D-T 0-1-2-ness evaporation-condensation modulation cause-effect at instantaneous all frequency oscillation Fluxion-Integral interference of the now-connection resonant re-cognition.
Ie "You just look at it" and the Multiverse Conception of phase-locked coherence-cohesion holographic time-timing presence of QM-TIME Completeness Actuality, is "obvious", but it will take a lot of Mathematical Conjecture to get the picture right and correct.
The proposition that "trivial zeros" are gaseous-hyperfluid, ..on the axial-tangential line-of-sight superposition identification zero-infinity point sequence is solid, ..and in between (Tangency Space) is wave resonance liquid.., seems very like physical manifestation, by Disproof inclusion-exclusion Methodology, of the Fusion-Fission Function IMHO.
Ordinary High School maths people will connect the Gaussian diagram to the Unit Circle modulo bubble-modes of chemistry. (Obvious) This has the characteristics of confinement by Absolute zero-infinity, WYSIWYG pulse-evolution differentiates here-now-forever..
A review of Professor Cedric Villani's work of the Heat Equation, phase-locked coherence-cohesion sync-duration resonances of Logarithmic Time Duration Timing and this lecture will allow students a much better understanding of perspectives.
"Solid at time zero", is absolutely precision-point closed-collapsed omnidirectional-dimensional cause-effect positioning logic of QM-TIME Completeness Observation.
Very informative and satisfying Mathematics, thank you Professor Tao.
Aha i see ure welkome!
Wow, Terence Tao ad un'università di Milano
The level of sound in this video is very low.
lol! amusing! i can't see this without smiling
The p on p covers part of the slide
Is it matter of stable and unstable? Could not understand at all.
The idea is to look at a specific two-variable function H(t,s), chosen so that the single-variable function obtained by fixing t to 0, H(0,s), is a close relative of Riemann zeta function.
Investigate how zeros of H(t,s) behave *when t changes*. (The trick is that such investigation is possible when you do have t. Before "extending" the function from having one variable to having two, this obviously wasn't possible. Neat!)
This may allow to prove some useful properties of H(0,s), which in turn may lead to the proof of Riemann hypothesis.
PLAY ON 0.75 SPEED
This is the Corona function ?
This is mathematics not Virology. LOL
No, Riemann function
@@user-li4xn6gm1f hahahaha, i think this is the series of Corona
I'm from Colombia and i'm amazed academics use these ugly slides everywhere
Indeed
07:00 _Blah, blah..._
Why don't they get on with it?
All roots of Zeta lie on zero line in form of S = 0+ i( 2pik -pi)/lnP^2^n , P is prime .
no
@@PauloConstantino167 hahahahahaha, Yes
@@sunkhirous no no
@@daxisstar3194 no no !!! Is that a song ?
@@sunkhirous are u familiar with riemann hypothesis? Can u teach me I want to solve it. I took calculus in high school. But it's been a long time. what math u need it know to solve it. Please tell me
he may be good at solving problems but he can not show his ideas to people
His blog is really good actually
I might be wrong, but this could work: ua-cam.com/video/PvUrbpsXZLU/v-deo.html
P.S. A piece of advice: make video 1.5 times faster, I speak very slowly)
poorly filmed
Zero insight..so boring
Great comment!
@@muhammadputera6593 🤣🤣🤣
Terry's mannerisms are SO distracting, I have no clue what he is saying.
Incredible
Starts at 7:50