The Langlands Programme - Andrew Wiles

In this lecture, part of the celebration event for the tenth anniversary of the Andrew Wiles Building, home to Oxford Mathematics, Andrew himself traces the background to the one of the most famous series of conjectures in modern mathematics, starting in the sixteenth century with a poem.

[@Blackwhite2277]

It must be a wonderfully rare opportunity, both to the audience and to Wiles, to give a lecture in the very building named after him. What a legend

[@ivanalejandrocamarillo8264]

Si, un gran matemático en verdad

[@2sljmath]

👌🏻

[@2sljmath]

👌🏻

[@sambasivanganesan8595]

One of the greatest mathematicians today. It is a real honour to listen to him. It would be really amazing if more of his talks are made available on KZbin 🙏🙏🙏🙏

[@mattikemppinen6750]

What an awesome way to kick off the day by having a big cup of coffee and listening to the words of the great Professor Wiles before heading to my analysis lectures. Thank you!

[@aaabbb-py5xd]

Ah lectures, the thing I never needed to go to

[@2sljmath]

👌🏻

[@MattHudsonAtx]

I'm enjoying Wiles on Langlands with tea before a day of tuning databases

[@aaabbb-py5xd]

@@MattHudsonAtx All you really wanted to say was that you're the database janitor, lol, and you wanted somebody else to lend you credibility and gravitas, so you began with name dropping

[@MattHudsonAtx]

@@aaabbb-py5xd You really need to work on your cut-downs. That didn't even disappoint me.

[@CuriousCyclist]

Very interesting. Thanks for recording and uploading this lecture.

[@kurtomom]

There is something in this man which really resonates within me.

[@2sljmath]

👌🏻

[@reimannx33]

Slow down there. He is a married man :)

[@GordonBrevity]

There is something about your comment that really shows me you want to harmonically oscillate within Wiles.

[@HyperFocusMarshmallow]

Nice, light talk. Video is generally very good. A minor note to the editor. Between 23:40 and 29:30 the slide is never shown. I don't think it changes during that time so to see it one can just pop back. It's also quite nice to see the lecturer. But it would probably be nice to show it slightly more often. No need to change anything. But maybe keep it in mind for future videos if it's not too big of a hassle.

[@bnominato]

Thanks for sharing! Anyone know more about the abelian equations that he had mentioned in the lecture ? I’ve learned about abelian groups, but I would like know more about them.

[@OmateYayami]

Layman's question. Sorry for being impudent. Is this Alex Ferguson of maths to be present at his eponymous stand? Sry for bad Englando, not my 1st language.

[@sajadahmadrather6464]

Awesome.

[@waslajauharmaths]

Where can i find the slide pdf of this lecture?

[@spiderjerusalem4009]

Long live andrew wiles

[@juanvera7922]

I wonder about this equation. Finding out the value of x ? in the equation : Sin x= Cos 4x

[@peterboneg]

Nice talk, although I feel like he started off talking to people with little knowledge of mathematics and finished by using terminology that only experts would understand.

[@justin9571]

Isn't that the best possible scenario - gives each audience member biggest contiguous block of time of lecture material they understand before they have to tap out

[@halneufmille]

Following tradition, 1/3 of a math lecture is for general audiences, 1/3 is for colleagues, 1/3 is for the speaker himself.

[@2sljmath]

👌🏻

[@kaushal_kumar2422]

❤

[@joeseppe1398]

what is the program that he uses for creating presentations ?

[@gustaf2807]

That's very clearly just the beamer package in LaTeX

[@MrMusicM67]

Genius

[@mehdipascal250]

Pardon d'écrire ça en français. Plusieurs pensent que la théorie de Galois ne peut plus justifier le théorème de Fermat, ils ont tort, car par exemple l'équation suivante est soluble par entiers non nuls, "a^6+b^6+c^6+d^6+e^6+f^6=u^6+v^6+w^6+x^6+y^6" en trouve facilement des solutions, en revanche l'équation,"a^6+b^6+c^6=u^6+v^6", est non soluble, et il n'y a que la théorie de Galois qui peut le justifier.❤

[@angelamusiemangela]

Va bè! Lasciamo perdere ,qui direttamente hanno scoperto il Panteon! Che stelle che brillano!

[@zed1207]

I'm still getting over the fact that ANDREW WILES did a speech.

[@beeble2003]

Why? Academics give talks all the time.

[@zed1207]

Wiles is famously reclusive.@@beeble2003

[@High_Priest_Jonko]

What a fucking badass

[@edernollivier]

Andrew Wiles forgot the Riemann's hypothesis.

[@poetlaureate7334]

I keep thinking im understanding what hes saying and then feel so good about myself and then a second later realise it just felt good to follow the sentences hes saying and i dont know what he means. Id like to see him and gregori pearlman have a math fight with their skills like some star wars movie where the knights take out their light sabres only their light sabres will be their math skills. Now, back to albanian equations...why not bulgarian or romanian? Okay lets get back to listening.

[@superman00001]

I have a wonderful solution to quintic (and any higher order) equations, but it’s too long to write here.

[@CaesarsSalad]

literally true for the quartic

[@artemetra3262]

nice reference there

[@hoareg2]

Wonderful talk but please next time focus on the slides

[@Aquillyne]

Yeah rather than a sea of balding male heads.

[@High_Priest_Jonko]

Lmao@@Aquillyne

[@2sljmath]

👌🏻👌🏻

[@kevinleeds979]

@@Aquillyne it's only 8 or 9 out of 22 but the world's oceans have 10^31 molecules about

[@forheuristiclifeksh7836]

0:35

[@javedkhan10246]

Respected sir, I am from Balochistan the province of Pakistan. Sir I really quite interested in Mathematics. I need Maths scholarship. Please! Help me. I am poor.

[@tokajileo5928]

the mayans used 0 way before europeans

[@sandyjr5225]

It's popularly said that Indians invented zero (however let's not start a war in this comment section).

[@ivanalejandrocamarillo8264]

Yes, just as negative numbers weren't invented by middle age europeans but he meant the first time they were used for pure math proposes

[@2sljmath]

👌🏻

[@sherb9892]

And look what happened to them

[@chenardpierre8270]

This debate is sterile. Solving the 3rd degree equation has been achieved in Europe, though Arabic mathematicians have searched for a solution for centuries. Calculus has been invented in Europe, not by Japanese or Indians. This is the iron law of history.

[@svenmansfeld]

Believe nothing that you can't understand 100%!

[@erikeriknorman]

The current problem in academia is the hubris of the older generations.

[@dissent9959]

Interesting assertion. Evidence?

[@erikeriknorman]

​@@dissent9959 Current academics in Pure Mathematics and Theoretical Physics bottleneck potential theories through the very unscientific process of "peer review" rather than physics simulations. Why should a professor without any remarkable simulations decide what theory is successful or not? Peer review is relevant in applied Mathematics and engineering ofc, but much less in areas like Computer Science.

[@nope110]

⁠@@erikeriknormanwhat are you talking about? How could you use a physics simulation to solve the Riemann hypothesis? Verify the classification of finite groups? And mathematicians do use computers to check proofs, that’s how the 4 colour theorem was verified

[@felix.henson]

@@erikeriknorman Simulations are a terrible way to verify new ideas in physics (regardless of the fact that they would be useless for any pure maths-related problem) since they're actually simulations of what we currently understand about the way the world works, i.e. the current scientific consensus. If you build a simulation based on Newtonian mechanics it will "disprove" relativity, but we have observed consequences of relativity in the real world. I'm not exactly sure why you think this is a viable proof method unless you're thinking along the flawed lines of "computers are always right".

[@beeble2003]

@@erikeriknorman It's clear that you don't know how mathematics works, that you don't know how physics works, and that you don't know what the word "hubris" means.

[@claudiamanta1943]

9:41 I always disliked algebra because it’s boring. And illogical. Humans who define themselves as rational creatures are trying to find a rational solution by using irrational numbers. And come up with a real answer whilst using imaginary numbers. To me, it’s like trying to eat the doughnut 🍩 of zero and have it 😋

[@SpencerTwiddy]

Those terms (irrational, imaginary) are misnomers. If you replace them with e.g. “Number-Type 1” and “Number-Type 2”, you will see the one being irrational is yourself.

[@martiniquevodka5574]

More like cause u were softlocked by your low IQ

[@nope110]

Imaginary is a terrible word to describe them, imaginary numbers appear all the time in physics, they’re perfectly reasonable

[@Altercraftermc]

Boring and illogical tells me someone got filtered by a simple middle school algebra class 😂

[@beeble2003]

There's nothing at all illogical about algebra. And you've hit on the word "irrational" without understanding that it has two meanings. When we refer to a person as "irrational", we mean that they are illogical and unreasonable. When we refer to a number as "irrational", we mean simply that it is not the ratio (division) of two integers.