Reborn Tech Scholar

Chapter 406 The weakness of the thesis
Facing Schultz's question, Perelman wrote down a line of formulas on a new blackboard, and then said: "I don't think this is a difficult question, you just need to think hard, and you can get a conclusion! "

Perelman's thesis is salty and difficult to understand, not because Perelman did it on purpose, but because he believes that some steps are unnecessary. His thesis is not for all mathematicians, but for the world The top mathematicians and world-class mathematicians look at it, as long as they think hard, they can always get the answer.

So cumbersome steps are not necessary!
It’s just that the facts always disappoint him. The last time he proved the Poincaré conjecture, the reason why he was angry was that he firmly believed that with the abilities of the world’s top mathematicians and world-class mathematicians, it is impossible to really fail to see They do not recognize his thesis because he is a mathematician from Russia, and the status of Russia is declining. This is a kind of prejudice, so Perelman feels that the mathematics world in the modern world is not pure, not pure It has been invaded and corrupted by politics.

He even felt that being with these people was a humiliation to himself and to mathematics. He simply stopped working and lived his own Buddhist life. Anyway, his dependence on material life was extremely low. Doesn't the ocean of mathematics make him happier than the turmoil outside.

But this time, Perelman did not expect that, known as the leading figure of the younger generation of mathematics in Germany and the successor of Faltings, he would ask such a simple question.

If it weren't for the fact that Perelman had changed a lot in the past year, he might have just left the chalk and walked away.

Perelman felt that this young mathematician named Schultz was really not qualified to be Faltings' successor.

Who is Faltins? Before Qin Yuanqing was born and rose strongly, he was known as the man closest to Grothendieck, and he was known as the person most familiar with Riemann's conjecture in the world.The methods and mathematical tools used by countless people all over the world originated from EGA—the Bible of Algebraic Geometry.Faltings is the most familiar with this method and mathematical tools.

Even after proving the Poincaré conjecture, Perelman did not feel that he was greater than Faltins.

So after hearing the question mentioned by Schultz, Perelman felt that Schultz was completely unworthy of being Faltings' successor.

After answering Schultz's question, Perelman stopped looking at Schultz.

This man is nothing more than that!

"The question on line 31 on page 11 of the thesis, please explain to the speaker." A young mathematician raised his hand and asked.

Everyone recognized this person as the Australian mathematician 'Aksayi Venkatesh'. Aksayi Venkatesh, who is only 37 years old this year, is a genius like Schultz mathematician.He received his Ph.D. from Princeton University in the United States, and is now a professor of mathematics at Stanford University. His research fields are mainly counting, equidistribution problems of automorphic forms, and number theory, especially representation theory, locally symmetric spaces, and ergodic theory.This year for the Fields Award, Aksayi Venkatesh is also a popular candidate for the Fields Award.

Of course, what he is talked about is that he is the only Australian in the world who won medals in both the International Olympic Physics Competition and the International Olympic Mathematical Competition. As for why he only won the silver medal, it was because he participated in the competition that year. Only 12 years old!

Perelman glanced at Aksayi Venkatesh, and then wrote down the eight-line formula, but his heart was full of helplessness. This young generation of mathematicians, except Qin Yuanqing, is really an all-powerful mathematician. No.

He really couldn't understand how such a person could be a popular candidate for the Fields Award!

Sure enough, even though the Philippine Awards claim to be fair and just, they are still influenced by the power of mathematics after all.

Where is there any real fairness, if you want to say true fairness, it is to have absolute strength.

Perelman felt more and more how reasonable what Qin Yuanqing said was.He felt that the achievements of many mathematicians in Russia could win the Fields Medal, but why they didn't, because they were suppressed by other forces.

"I have a question. Regarding the step of line 17 on page 11, please give a detailed explanation!" Just after Perelman answered Aksay Venkatesh's question, a skinny His right hand was slowly raised tremblingly but vigorously.

Although that hand didn't have much strength, it was as dazzling as a torch in Lecture Hall 1, and everyone couldn't help looking over it.

Because the questioner this time is Faltins!
When many mathematicians saw that it was Faltings who asked the question, they couldn't help but folded their arms, and then slowly closed their eyes. They knew Faltings too well. I don't know how many mathematicians' reports in the past few decades. It was messed up because of Faltings, and it became a laughing stock in the mathematics community. Faltings either did not ask questions, or it was fatal if he asked questions, which meant that the paper had logical errors and fundamental errors.

Therefore, many mathematicians have already determined the outcome of this report meeting. In a good situation, the mistakes will be carefully supplemented after the report meeting, and then passed by reviewers. In a bad situation, it will fail completely.

Perelman's expression also became serious, he pondered for a while, and then replied: "This line just uses the Stirling expression of the Γ(s) function, thus simplifying the formula (2) to J(δ) = Σd(k+1)(n)I(n)+Δ(δ)..."

"Of course I know what you said." Interrupting Perelman's speech, Faltings continued slowly: "Using the Stirling expression of the Γ(s) function is indeed a very clever method, which can save Going to a lot of unnecessary trouble, but even if you transform Re(s)=1-cln[|Im(s)|+2], it still cannot change the fact that there is no non-trivial zero point in the right area.”

The entire lecture hall was silent!
Everyone knows that this is a difficulty. Once this difficulty cannot be overcome, then this report meeting will be bleak!

Mathematics papers are different from other papers. Once there is a problem at a certain point, the whole paper is full of question marks!
Therefore, mathematics is the most rigorous subject, and this is the problem!

Faltings said slowly: "No matter how ingenious the hyperelliptic curve you choose, you can't get around this knot! The most fatal flaw in your argument is here, so the right boundary is changed from Re( s)=1 and translate to the left as Re(s)=1-ε(ε>0), the conclusion is naturally impossible to draw.”

In the lecture hall, there was no sound, as if a needle fell on the ground, you could hear it carefully.

This question can be said to hit the nail on the head, like a sharp dagger, stabbing straight at the weakness of the whole paper.

Mathematicians are lamenting in their hearts that this failure may not only mean that the quasi-Riemann conjecture has returned to the list of conjectures, but also that the research results of the Riemann conjecture will be returned to zero.

Is it true, as rumored, that Riemann's conjecture is a knot that can neither be proved nor falsified, as described by Gödel's incomplete theorem, a ghost hovering over the mathematics world! ?
Perelman showed a thoughtful look, but he was unable to answer it for a long time, because he suddenly discovered that the biggest weakness of this paper appeared in this most inconspicuous place.

Could it be that all of this is going to be for naught?

And Qin Yuanqing, who has been acting as a bystander, knows that he must stand up and answer this question at this time, otherwise this report will be bleak, and it will also severely damage the confidence of the mathematics community in Riemann's conjecture.

When Qin Yuanqing just took a step, all the eyes of the entire lecture hall were shifted to Qin Yuanqing in an instant.

At this moment, they suddenly remembered that the results of the thesis proved by the quasi-Riemann conjecture were not only the results of Perelman alone, but the joint results of Qin Yuanqing and Perelman.

For Qin Yuanqing, the young mathematician who has been hailed as the greatest mathematician in the world today, everyone seems to have seen at this moment that Qin Yuanqing is emitting a great light, which is the light of mathematics and the light of human wisdom. It is the light of God!
Everyone was full of anticipation, looking forward to how Qin Yuanqing would answer Faltings' question and make up for the biggest weakness of the quasi-Riemann conjecture paper.

"Mr. Faltings' question, I will answer it, please ask the staff to move some blackboards!" Qin Yuanqing said calmly.

Immediately, a staff member brought up the blackboards, and five blackboards were laid out together. The stage in the lecture hall was very large, and there would be no problem at all even if there were ten more blackboards.

"About the question raised by Faltins just now, I think I need to start with the most basic steps. Or, the tool part of the whole paper!" Qin Yuanqing picked up a pen and wrote a line of neat handwriting on the blackboard— — Hyperelliptic Curve Analysis!
Immediately, the atmosphere in the entire lecture hall was instantly detonated!
The hyperelliptic curve analysis method is no stranger to the mathematicians present, as long as they are at the university level, they will learn about it.For the mathematicians present, it is really the most basic!It's just that they don't understand why Qin Yuanqing said this. Is it to give them a course on hyperelliptic curve analysis?
What a joke!
However, as Qin Yuanqing continued to explain, the blackboard continued to depict, as if there were incomparably beautiful notes, which seemed to be the language of God, and gradually drew the mathematicians present into the world of mathematics.

They did not expect that the very simple and common hyperelliptic curve analysis method can be understood and applied in this way. They found that they did not really understand this analysis method at all. What they studied and learned before was So shallow.

Everyone dared not slack off at all, for fear of missing an opportunity to be taught by God himself, and they would regret it for the rest of their lives.

(End of this chapter)