Rule department scholar

This time it is a 'free report', and no judges are specially invited.

Shuimu University is still among the guests, find a few highly respected people, sit in the front row as temporary judges, and they will finally express their opinions on the results.

Although it is not a formal affirmation of "whether the proof is correct", but because Fermat's conjecture has attracted the attention of the world, and the report will be held publicly, there will definitely be a large number of live videos. After the report is over, mathematicians all over the world can express their opinions , for public review.

So it doesn't matter whether there is a review or not.

After Zhao Yi finished his simple opening remarks, he quickly got to the main topic. His Fermat conjecture proof process, he wrote a 27-page thesis, half of which revolved around the demonstration of 'smooth value of natural numbers in space topology'.

'Smooth value of natural numbers in space topology' is to prove a spatial topology form. When taking natural numbers, the form will be in a 'closed' state, that is, 'the value is smooth', otherwise it is 'unsmooth'.

"Assuming that there is a point β in the space, and the space coordinates of β are all natural numbers, we need to determine whether β is inside, outside or on the edge of the topological graph."

"Let's analyze the relationship between the value of β and the topological analysis, the topological column formula just made..."

"Assume that β is in the function..."

Zhao Yi spent a long time on the argument of "smooth value of natural numbers in space topology", and explained it very carefully.

This part is the core and most important.

As long as one can understand the problem of "smooth value of natural numbers in space topology", the proof process of Fermat's conjecture is relatively easy to understand.

People in the audience also knew its importance, especially those top mathematicians, they found that Zhao Yi was explaining a method of applying topological analysis to the field of number theory, and they became extremely interested.

This is why the mathematics community always says that the most important thing to solve world conjectures is not the result, but the process of proof. A novel proof method will greatly promote the development of mathematics, and the result is just the result.

For example, Goldbach's conjecture.

Proved and proved, in fact, not much has changed.

Even if some conjectures are not proven, they have little impact at all, and the Fermat conjecture is the same, because computers can calculate dozens of digits, and dozens of digits can be said to be the limit that humans can use.

If there are counterexamples to Fermat's conjecture among the numbers of 'hundreds, thousands, tens of thousands of digits', it means that Fermat's conjecture is not valid.

What does that matter?

Anyway, in terms of human technology, such high-level numbers are not used for the time being, and it will not have much impact on reality.

So the process is more important than the result.

The most serious and most concerned person in the audience is Edward Witten, a professor at Princeton University and a winner of the Fields Medal. He is recognized as one of the top mathematicians in the world.

Edward Witten propped his chin with one hand, looked at the podium solemnly, and followed Zhao Yi's explanation in his mind, constantly understanding and digesting.

At the same time, Edward was also a little depressed.

Edward was very depressed when he heard that Zhao Yi was going to make a report on the results of Fermat's conjecture. He remembered that last time he gave Zhao Yi a mathematical manuscript of an unlucky colleague. simplify.

That's all.

Some time ago, Zhao Yi had a video chat with him and took the initiative to talk about topology. He thought that Zhao Yi wanted to use topology to demonstrate the problem of multi-dimensional space.

The results of it?

Know it now.

This guy is to complete the proof of Fermat's conjecture!

On the one hand, Edward felt that it was a pity that Zhao Yi put his mind on other aspects, and didn't seem to pay much attention to issues such as string theory, M theory, and multidimensional space. On the other hand, he was also depressed.

Fermat conjectures!

"I've been studying that mathematical manuscript for a long time. Why didn't I think of 'Lebi Elimination'? Why didn't I think of using it to simplify Fermat's conjecture?"

"Topology? Why did I think of multi-dimensional space, but I thought it could be used for number theory research?"

Edward was very depressed thinking about it, and pinched his face hard. He felt as if the golden mountain was in front of him, but he just thought that there might be a beautiful coral under the golden mountain, so he swam directly to find the coral.

As a result, the coral was not found, and the Jinshan was moved away!

Edward also knew that his thoughts were a bit extreme, because Jinshan may not be able to move away, and he even said that it was impossible to move away, but he was still a little depressed in his heart. He could only sigh and think, "I hope it's done. Well, he can focus more on physics, on the research of M theory and multi-dimensional space."

Edward just lamented Zhao Yi's genius, while some people came here to find fault.

For example, country Y mathematician Brent.

The so-called "peers are enemies" and "peers are equal to enemies", Zhao Yi and the mathematics circles of country Y have "deep feuds like seas", he proved the logical error of Andrew Wiles, and the honor of proving Fermat's conjecture belongs to Wiles belongs to Country Y Mathematics. Zhao Yi not only let the honor go away from Country Y Mathematics, but now he wants to stop on the road and take the honor away?

Brent is a famous mathematician in country Y. He works at the Newton Research Institute and has also listened to Wiles' report on Fermat's conjecture.

Now Brent is here to 'find mistakes'. He listens more carefully than others, and takes time to scan the arguments in his hand, hoping to find a little mistake. He has made a decision, as long as he finds a little If there is a problem, immediately get up and question it.

However, he has not been able to stand up.

Brent found that Zhao Yi's proof logic was extremely rigorous. He didn't use any ambiguous definitions or theorems, but just did space topology and function analysis rigorously. When it comes to complex topology analysis, it is indeed a bit difficult. understand.

For example, Bent, the student he was leading, asked in a low voice behind him, "Teacher, how did he switch just now? Why did he suddenly..."

"If you don't understand, write it down!"

Brent whispered a reminder with a dark face, and stopped talking.

indeed.

Some places are very complicated, without sufficient topology foundation, it is very difficult to understand, but you can't ask questions because you don't understand, right?

There was a live broadcast at the scene, and there were reporters from many countries.

If you make an 'incomprehensible question' and it is reported live by the media, you will probably be laughed out of the academic circle.

What Brent is sure of is that, except for a very few places that involve advanced topology knowledge and some things that are not well understood, the others are correct, there is no problem with the logical thinking, and the most exciting and meaningful part of the argument is , the other party applied topology to the analysis of natural numbers.

Number theory and topology, two related mathematics, are closely combined.

Brent couldn't help clapping his hands. He couldn't help but be amazed by the exquisite argumentation process and the method created by the other party. He also had to admit that the young man on the stage was indeed a super genius in mathematics. What he did The proof of the Fermat conjecture is many times stronger than the proof made by Wiles more than ten years ago. He still remembers that after Wiles finished his long report, more than a dozen people stood up to ask questions. It can even be said to be questionable.

Some questions Wiles answered, and some did not.

What now?

Brent hoped to find a question, but after thinking about it, he didn't know what to ask. The proof process was so rigorous. Unless the process was incomprehensible, what questions could there be?

In fact, he did not understand something. After all, he had not done careful topology research, and when it involved relevant advanced content analysis, his brain turned a little slower.

However, he, the famous mathematician Brent, was sitting in the front row of the conference hall, and he was also a temporary review guest. Even if there was something he didn't understand, he absolutely couldn't show it.

"I, Brent...

understand!

No one knows better than me! "

Brent leaned back in the seat, crossed his arms, and smiled knowingly.

3 Chapter Forty

Capital TV's education channel will broadcast live the entire report.

Compared with the news and current affairs reports that are concerned, the live broadcast of academic reports is quite boring. Most viewers are still interested in hearing the news, but after watching it for a few minutes, they find that they don't understand it at all.

How would you feel when an incomprehensible mathematics explanation was played on TV?

There is already a response on the Internet.

The Xinlang website specially set up a live broadcast room to rebroadcast the live broadcast of the Capital Education Channel. It also invited the former guest of "The Big Bang" program, the famous sea turtle doctor Li Lin, to give a commentary to help netizens track and understand. Zhao Yi's conjecture about Fermat proof report.

Li Lin and Zhao Yi have a story that has to be told. 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 the netizens clicked on it. won the title of 'Not a Genius Dr. Lee'.

With Zhao Yi's more and more achievements and more and more fame, the title of "not a genius Dr. Li" is getting louder and louder. Li Lin was sprayed out of the program "Brain Power Explosion", and his fame did not diminish. Zeng, when he said "Zhao Yi is a computer genius, but not necessarily a math genius", it was made into various emoticons.

Changes in public opinion can sometimes be very interesting. At first, Li Lin was not optimistic about Zhao Yi being sprayed, and he even had a famous negative nickname, but gradually the public opinion developed. Many netizens thought Li Lin was very 'cute', because He uttered a sentence that was considered most wrong.

Later, when Li Lin was interviewed, he apologized to Zhao Yi and ridiculed himself for his lack of vision, and the matter passed, but "I'm not a genius Dr. Li" has developed into a nickname for Li Lin by netizens.

Now Li Lin is not very famous, but many program groups will still invite him to participate in programs involving academics and brain power.

Xin Lang specially set up a live broadcast room, and invited Li Lin to help netizens do "live commentary".

Obviously.

Li Lin's level is not enough.

After initially following Zhao Yi's train of thought and explaining a few sentences, there was no difference between Li Lin and the netizens who entered the live broadcast room. don't know'.

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

"He can't understand!"

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

"..."

Li Lin was really embarrassed.

The camera of the TV screen is always aimed at the podium, but because the content of the academic report is too profound, [-]% to [-]%... More than people can't understand it at all, and occasionally half of the camera is shown elsewhere.

The audience is what attracts the most attention.

The 'temporary judges' in the first row will definitely show their faces, and there is no special introduction on the TV program, but Li Lin can finally show his face, "This one on the camera, named Brent, is a mathematician from country y, from the University of Cambridge. Professor, academician of Newton Institute, focusing on research on cohomology of algebraic varieties."

"Judging by his movements and expression, he is very confident, and he probably understands it completely."

"Great!"

Next--

"On the left of Brent is Edward Witten. I think everyone who pays attention to mathematics knows him. He is the winner of Fields and from Princeton." The television cameras showed more Edward Witten, probably because of the relationship of "goodwill". I have a research project cooperation with Zhao Yi, and this is the third time I have come to China.

next one -

"Beside him is Professor Qiu Chengwen. As everyone knows, he is a Chinese Fields winner who is now leading the newly established Center for Mathematical Sciences at Shuimu University."

one more--

"Academician Zhu Zhiwang Zhu, academician of the National Academy of Sciences, academician of mathematics in China, it is very difficult..."

Following Li Lin's introduction, the netizens in the live broadcast room couldn't help feeling that the people present were really top-notch bosses. If you just find someone in the front row, you can have the title of academician, and if you pick one, you might have won Fields.

Then everyone lost interest.

Live TV will take special care of 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 to them, you can immediately notice them.

The live broadcast continued to show the camera, and there was no commentary on the TV. Li Lin said, "The one with the long braid is Zhao Yi's girlfriend, Lin Xiaoqing, the kung fu girl who was uploaded on the Internet earlier, and she also came to support Zhao Yi."

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

In the process of continuous explanation, Li Lin soon discovered that the shots were constantly being given to Lin Xiaoqing and Zhao Linlin. He couldn't help but smiled wryly, "There are a lot of shots, the one who cuts the shots really took care of it, right?"

After he finished speaking, he followed up with a sarcasm, "Is this the rhythm of wanting to poach Zhao Yi's girlfriend as a star?"

In fact.

The reason is really boring.

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

The math leaders in the front row were all listening seriously, and Brent was the most relaxed one. The expressions of the others were all serious and serious.

Starting from the second row, few listened carefully, and some were still whispering, obviously not concentrating.

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

"So it can be concluded that the more relaxed a person is, the less he can understand, and the more he understands, the more focused he is..."

Following Li Lin's words, the camera on the scene seemed to comply, and pointed to Brent who turned his head to talk to the students. He was still in the posture of crossing his arms and his face was full of confidence, as if he knew everything in his chest.

But a lot of people reasoned against it--

"This guy probably didn't understand, so he deliberately pretended to understand!"

"Look at Edward Witten, the Fields winner, he is listening so seriously. He has never won Fields, but he still has time to talk back."

"This guy can't do it!"

……

Zhao Yi didn't know that his academic report would have such an interesting discussion outside the venue, so he continued to concentrate on making the report.

The argument of 'smooth value of natural numbers in space topology' is a proof of relational topology and number theory. He continued to explain for about two hours.

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

This is also impossible.

The argument of 'smooth value of natural numbers in space topology' is too complicated. To put it bluntly, topology is still a bit biased. Even fewer people understand advanced topology. Combined with geometry and number theory for arguments, the complexity can be imagined.

If it is explained step by step slowly, many people can understand it, but he cannot have so much time, so he can only skip some simple points and directly state the final proof conclusion.