Genius of the Rules-Style System

Capital TV Education Channel broadcast the entire report live.

Compared with the news and current affairs reports that attracted much attention, the live broadcast of academic reports seemed quite boring. Most viewers were very interested in hearing the news. After watching it for a few minutes, they found that they could not understand it at all.

How do you feel when a math explanation that you don’t understand is played on TV?

There are already reactions on the Internet.

The Xinlang website has specially set up a live broadcast room to broadcast the live broadcast of the Capital Education Channel. It also invited the former "Brain Bang" guest and the famous turtle doctor Li Lin to give commentary to help netizens follow and understand Zhao Yi's reaction to Fermat's conjecture. certification report.

Li Lin and Zhao Yi have a story that has to be told. I think when Zhao Yi was still in high school, whether it was solving the Rubik's Cube or proving Kakutani's conjecture, he made unfavorable comments and was criticized by netizens. He got the title of 'not a genius Dr. Li'.

As Zhao Yi achieves more and more achievements and becomes more and more famous, the reputation of "not a genius Dr. Li" becomes more and more louder and louder. Li Lin was criticized and quit the "Brain Bang" program, and his reputation continues to grow. Zeng, his words "Zhao Yi is a computer genius, but not necessarily a math genius" were made into various emoticons.

Changes in public opinion are sometimes very interesting. Li Lin was initially not optimistic about Zhao Yi being criticized and was given a resounding negative nickname, but gradually public opinion developed. Many netizens thought Li Lin was very 'cute' because He said what was considered the most wrong thing to say.

Later, when Li Lin was interviewed, he apologized to Zhao Yi and ridiculed himself for having no vision, and the matter passed. However, "not a genius Dr. Li" has developed into a nickname for Li Lin among netizens.

Li Lin's fame is not great now, but many program groups will still invite him to participate in programs involving academic and intellectual issues.

Xinlang specially set up a live broadcast room and invited Li Lin to help netizens provide ‘live commentary’.

Obviously.

Li Lin's level is completely inadequate.

After initially following Zhao Yi's train of thought and explaining a few sentences, Li Lin was no longer different from the netizens who entered the live broadcast room. He could only say that sentence out of the blue every few dozen seconds, and later simply admitted that "some of the words he heard" don't know'.

Netizens in the live broadcast room left a very positive message, "Li Tiancai can't keep up at all."

"He doesn't understand!"

"I'm just talking nonsense right now. I just want to ask: Li Tiancai, are you embarrassed?"

"..."

Li Lin was indeed embarrassed.

The camera of the TV screen is always pointed at the podium, but because the content of the academic report is too profound, 99% of the people above cannot understand it at all, so occasionally half of the camera will be directed to other places.

The audience is what attracts the most attention.

The 'temporary judges' in the first row will definitely show their faces. There was no special introduction on the TV show. Li Lin was finally able to show off, "The one on camera now, his name is Brent. He is a mathematician from Country Y, from the University of Cambridge." Professor, academician of the Newton Institute, focusing on the study of cohomology of algebraic varieties."

"Judging from his confident movements and expression, he probably understood it completely."

"It's awesome!"

Next--

"On the left of Brent is Edward Witten. Anyone who pays attention to mathematics circles probably knows him. He is a Fields winner and a Princeton student." TV cameras show more of Edward Witten, probably because of his 'goodwill' relationship. I have a research project collaboration with Zhao Yi, and this is my third time in China.

Next one--

"Next to him is Professor Qiu Chengwen. As everyone knows, he is a Fields Chinese winner and now leads the newly established Mathematical Sciences Center at Shuimu University."

And the next one--

"Academician Zhu Zhiwang Zhu, an academician of the National Academy of Sciences, a domestic academician of mathematics, it is difficult..."

Netizens in the live broadcast room followed Li Lin's introduction and couldn't help but sigh that all the people present were really top-notch people. If you just pick someone in the front row, you can get the title of academician, and if you draw one, you may win the Fields.

Then everyone lost interest.

Live TV broadcasts will pay special attention to beautiful women. Lin Xiaoqing and Zhao Linlin sitting in the third row are like bright lights shining in the dark. As long as you turn the camera towards them, you can notice them immediately.

The live broadcast continued to show the camera, and there was no commentary on the TV. Li Lin said, "The one with the pigtails is Zhao Yi's girlfriend, Lin Xiaoqing, the kung fu girl who was uploaded online some time ago. She also came to support Zhao Yi."

"The other one should be a classmate, right?"

As he continued to explain, Li Lin soon discovered that the camera was constantly showing Lin Xiaoqing and Zhao Linlin. He couldn't help but smile bitterly, "The camera was a bit too much. The person who cut the camera was really taking care of it, wasn't it?"

After he finished speaking, he added a sarcastic comment, "Are you trying to poach Zhao Yi's girlfriend to become a star?"

In fact.

The reason is really boring.

What’s so good about such a professional academic report? The reporters at the scene felt uncomfortable, and some simply observed the guests' performance to estimate who could understand.

The math experts in the front row were all listening very seriously. Brent was the most relaxed, and the others had serious and serious expressions.

Starting from the second row, there were not many people who listened carefully, and some were still whispering to each other, obviously no longer paying attention.

"Probably starting from the second row, there are very few people who can understand."

"So we can summarize this: the more relaxed a person is, the less they understand, and the more they understand, the more focused they are..."

As Li Lin's words came out, the live camera seemed to adapt and pointed at Brent, who turned back to talk to the students. He still had his hands folded across his chest, with confidence on his face, as if he knew everything.

But many people infer the opposite -

"This guy probably didn't understand and deliberately pretended to understand!"

"Look at Edward Witten, the Fields winner, listening so seriously. He didn't win the Fields, but he still has time to talk back."

"This guy can't do it!"

…

Zhao Yike didn't know that his academic report would lead to such interesting discussions outside the venue, so he continued to focus on the report.

The demonstration of "smooth values ​​of natural numbers in space topology" is a proof of the connection between topology and number theory. He continued to explain it for about two hours.

When the explanation came to the end, he noticed the expressions of everyone in the audience and knew that most people could not understand it at all, and only a few could follow the idea.

There's nothing we can do about it.

The argument for "smooth values ​​of natural numbers in space topology" is too complicated. Topology is still a bit biased in plain terms, and there are even fewer people who understand advanced topology. Combined with geometry and number theory to make an argument, the complexity can be imagined.

If he explained it slowly step by step, many people could understand it, but he couldn't have that much time, so he could only skip some simple parts and directly stated the final proof conclusion.

Although the explanation is not very detailed, you can still do it as long as you accept some conclusions that skip the simple process and try to understand it.

After Zhao Yi finished speaking on the argument of 'smooth values ​​of natural numbers in space topology', he stopped when he looked at the time and looked at the host in charge of arranging the venue.

The host quickly came on stage and announced a twenty-minute break.

Now it’s time for questions.

None of the 'temporary judges' in the front row stood up to ask questions. Most of them understood it and felt that the logic was rigorous and there were no problems at all.

They were just lamenting Zhao Yi's thinking.

The on-site reporters also conducted an impromptu interview, and their comments on the report just now were, "It's so exciting!"

"I never thought that topology could be connected with number theory and that it could prove natural numbers."

"By now, I kind of know what's coming."

"This smoothness argument is very meaningful. I think the next step is not important. Because the rest will be very simple. This conclusion is enough to support the proof of Fermat's conjecture."

Brent in the front row didn't fully understand it because there was a short section in the middle that he didn't understand, and he got distracted later on, and there was a lot that he didn't understand in the last section.

Brent didn't want to show off that he didn't understand. He listened to what the others were saying and immediately knew what to say.

When interviewed by the reporter, Brent sighed and said, "It is a very exquisite proof, very exciting! I feel incredible, as if a door has been opened that spans number theory and topology."

“It’s definitely colorful inside the gate and I think there’s a lot of inspiration coming from it!”

"A genius idea! Proof of genius!"

"Now I think we can end it early. No problem. I'm 100% sure that he has proved Fermat's conjecture!"

Brent seemed to take on the emotion as he spoke, and continued, "More than ten years ago, when Andrew (Wiles) did a research report on Fermat's conjecture, I was present. I dare say that Zhao Yi's proof is better than his." A thousand times, ten thousand times, there is no comparison between the two, because I can't find even a small problem in his proof!"

"so……"

at the same time.

In a remote rural town in country Y, Wiles was sitting in the living room, watching the report conference program through the network broadcast. Originally, he wanted Brent to say something, preferably to pick out some problems.

result……

Wiles gritted his teeth and shouted, "Damn Brent! You ungrateful guy!"

"You actually said it was a thousand or ten thousand times better than mine. You called me before you left and said you would find out his problem. Now you are saying this about me..."

Wiles gasped angrily and couldn't help but become sad as he spoke.

In the eyes of everyone, he had become a failed mathematician, especially after Fermat's conjecture was proved, but he found that he could not hate Zhao Yi because his proof did have major logical errors.

Mathematics is a rigorous subject.

What is right is right and what is wrong is wrong.

On the contrary, it was people like Brent who made him feel even more annoyed.

…

After Zhao Yi answered a few questions, time almost passed. He rested for about ten minutes and then returned to the podium.

The argument for "smooth values ​​of natural numbers in space topology" is over, and the next step is the proof of Fermat's conjecture.

When he reached this step, he felt much more relaxed. Just like what Edward and Qiu Chengwen said, with the argument of "smooth values ​​of natural numbers in space topology", the subsequent proof was as simple as a "set of formulas".

Of course.

That is for top mathematicians. They can quickly combine the two and generally know what the idea is. Not everyone is a top mathematician, so it is still necessary to continue to explain.

He opened the prepared PPT, projected it on the screen, and began to explain it one by one, because there is still a lot of proof process, and many places still need to be simplified.

Although what Zhao Yi said was a bit boring, many people were more focused than before because by this part, the content became easier and the proof logic was not that complicated.

In addition, when it comes to the proof of Fermat's conjecture, the meaning becomes different.

The venue was quiet.

Under the cover of the quiet atmosphere, excitement burst out in many people's hearts.

Zhao Yi followed the idea and formulated the proof framework, and then entered the demonstration results of "the smooth value of spatial topological natural numbers" into it.

At this time, there was a lot of noise in the venue, and many people couldn't help but exclaimed, "So that's it!"

"Incredible!"

"This is a perfect substitution, and it can be proved that with a fixed prime value n, there will be no ungrouping of natural numbers."

The report begins here.

Zhao Yi continued to explain for about twenty minutes, then listed an offensive on the blackboard and explained that 'n can take on any prime number'.

Stop writing!

Turn around!

Bow slightly!

"Hula--" The venue suddenly burst into applause.

Question time is no longer needed.

The judges in the front row stood up impatiently and walked towards Zhao Yi.

They shook hands with Zhao Yi one after another and sighed, "Congratulations!"

"Fermat's conjecture has truly become the Great Theorem from today on!"

"No problem, there's nothing wrong with your proof at all, I'm 100% sure!"

"Now you just need to wait. There are on-site records and live broadcasts. Whether it is the Newton Institute, the Clay Institute, or any other organization, I believe they will soon recognize your proof."

Edward Witten said jokingly, "But the people of country D will probably be embarrassed. The prize money they provided for solving Fermat's conjecture a hundred years ago has been taken away by Wiles."