Edward Frenkel: Langlands Program and Unification
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- Опубліковано 19 чер 2024
- Abstract:
Sophia Kovalevskaya wrote, "It is not possible to be a mathematician without being a poet at heart. A poet should see what others can’t see, see deeper than others. And that’s the job of a mathematician as well.” The work of Robert Langlands sets a great example for this maxim, as it is marked by originality, imagination, and penetrating insights. At the core of the Langlands Program is the idea of unification: uncovering deep connections between areas of mathematics that at first glance seem far apart, such as number theory, analysis, geometry, and even quantum physics. These links enable us to find order in apparent chaos, and they also point to something rich and mysterious lurking beneath the surface, giving us glimpses of hidden structures underlying modern mathematics.
Edward Vladimirovich Frenkel is a Russian-American mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at University of California, Berkeley, member of the American Academy of Arts and Sciences, and author of the bestselling book Love and Math.
This lecture was held at The University of Oslo, May 23, 2018 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations.
Program for the Abel Lectures 2018
1. "On the Geometric Theory" by Abel Laureate Robert P. Langlands, Institute for Advanced Study, Princeton University
2. "The Langlands Program: Arithmetic, Geometry and Analysis" by Professor James Arthur, University of Toronto
3. "Langlands Program and Unification" by Professor Edward Frenkel, UC Berkley - Наука та технологія
This guy is a great lecturer, thank you.
The last 5mins of this are gold! 👏🏾👏🏾👌🏾👌🏾
Great speaker and great topic!
Thanks for that talk. Great & full of Heart.
That was *AWESOME.*
Absolutely great talk.
Amazing video!
Great 👍
His accent makes this lecture 10x better ☺
Great Talk
Excellent lecture
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?
This common thread must be L-functions.
Prime function of the zeta is an L-function. All L-functions have their own Riemann hypothesis.
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.
That guy is the real deal.
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.
Ok, how?
@@SilentAdventurer it looks like this comment section is too small to contain his proof
Does a(p) = b(p) for non prime integers?
Las Matemáticas desde México, mi vida trata de zambullirse en toda esa plenitud que la conforma gracias a la recopilación Histórica Actual.
Damn i love him !
Gay
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
This is transforming Bach into mathematics
"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)
I want to clap loudly
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.
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.
I suspect that this audience is wondering why they are there!
7:15 for anyone not 'in the know' .. the juxtaposition is to (eurgh) donald trump.
I mean that was also my knee-jerk reaction, but could there be someone in the mathematics community that he is instead referring to?
@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.
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 😄
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..??
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