Poincaré Conjecture - Numberphile

The famed Poincaré Conjecture - the only Millennium Problem cracked thus far.
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Discussed here by Katie Steckles and James Isenberg.

NUMBERPHILE

Videos by Brady Haran

[Misterlegoboy]

what a badass- he solves one of the 7 hardest problems in the world and then just drops the mic and leaves

[luck]

Hardness of math problems:
0. I can solve the problem
1. I can understand the solution of the problem
2. I can't understand the solution of the problem
3. I can't understand the problem
4. I can't understand why it is not obvious

[thefakeslimshady]

Gregori solved this question alone in his room which contains only a desk, a bed, a lamp, and a chair. And then quit all of mathematics after this. What a guy

[TheNuncFluens]

An interview with Perelman would be the ultimate Numberphile video.

[JanPBtest]

This video never mentions one major hero of the story, the inventor of the Ricci flow himself: Richard Hamilton. This is almost like talking about relativity without ever mentioning Einstein. Perelman's achievement is undeniable, of course, but Hamilton did a lot of heavy lifting beginning with the early 1980s. In fact, one of the reasons Perelman rejected the Fields medal and other prizes was that the people who were in charge of awarding them refused (apparently) to make the prizes shared with Hamilton.

[francescorende]

do a video on every millenium prize problem

[dmitrymorozov]

ignoring the money he just wants to show that there is something wrong with our world. Some of his ex-partners in math betrayed him,  he thought that that the world of math is the only place where people are moral and pure in their thoughts. But it turned our that even a mathematical society is full of bustards craving for money and the fame. We are a dirt world,  and he is a just a saint Man. That's it. I proud of that such a person lives in my county.    

[TheUneuro]

As a mathematician, I respect so much what you do Brady ! Thank you :) 

[dmitriysoloviev]

Perelman refused to take any prize, thereby create Perelman Conjecture. Now mathematician trying to understand why.

[ErwinSchrodinger]

While a very intriguing story, I'm surprised there were no reasons given why Dr. Perelman declined the money, fame, and accolades. His reasons, on some parts, I completely agree... many fields become doctrines that are devised by a very selected few. Science and mathematics are seriously suffering from a lack of openness to new ideas because of these centralized ideas (string theory, molecular quantum mechanics, and so forth). Unfortunately, not only is his intelligence and insight incredible but the his level of humbleness, unselfishness, and grace are far beyond most people.

[Upgradezz]

He has a gold heart. Humble, and sincere.

[manishamohanty]

" Some people can't be bought or bargained with, they just want to see the world learn. "

[AlanKey]

Ooh... I just remembered an orange peeling question I had once which seems vaguely relevant to this video!

*Is it possible to peel an orange such that its skin comes off in a donut type shape (as defined around **1:45**)? That is, one continuous loop that has a hole in it.*

I have an answer to this question - a most elegant proof. But this comment box is too small to contain it.

[billtruttschel]

Shouldn't we stop calling it a "conjecture" now that it has been proven?

[daverobertson]

So Perelman basically did the world's greatest ever hold my beer followed by an epic mic drop.
Legend.

[willchancellor]

[takes drag of cigarette] "I was with a bunch of people in San Diego who were really into Ricci Flow..."

[emzy]

Perelman was my dad's classmate! From what I've been told, he's a super-nerd but is also a genius!

[navarretedf]

2:15 OMG they predicted fidget spinners 3 years ago 😱

[harvintoledo]

Poincare Conjecture is a fascinating problem because we start to make many questions about what are indicated equations to solve it. It sounds simple but there are many theorems we need to know and use to get it.

[kwstaskartas]

Your last videos are amazing Brady ! Excellent choices.