Rebirth of science and technology academic master

The influence of the Riemann Hypothesis is too great. From a purely mathematical point of view, the Riemann Hypothesis can be said to be the most difficult and influential mathematical conjecture among the seven major mathematical problems in the world. It is also a hot topic in mathematics research.

Although the proof of the quasi-Riemann Hypothesis does not completely solve the Riemann Hypothesis, it allows the mathematical community to go directly from step 0 to step 99 on the Riemann Hypothesis. It is only the last step that can cap the mathematical building of the Riemann Hypothesis. .

From step 0 to step 99, this is a huge progress and leap, which is amazing enough. Once the quasi-Riemann Hypothesis is unanimously recognized by the mathematical community, there will immediately be six of the more than a thousand mathematical conjectures attached to the Riemann Hypothesis. Hundreds were solved, turning conjectures into theorems.

Therefore, as soon as the proof paper of the quasi-Riemann Hypothesis was published, mathematicians at home and abroad ordered the paper one after another, studied the paper immediately, and refined the paper.

Just like Perelman's three papers proving the Poincaré conjecture, which troubled the world's mathematical community, they were all difficult to demonstrate. It took three years to complete the demonstration work of the paper. Perelman's proof of Poincaré was recognized. Len guessed the same.

The paper on the quasi-Riemann Hypothesis was written by Perelman himself. It has the same natural style and is also difficult to understand. It caused mathematicians around the world to rack their brains and burn countless cells during this period. In the end, there was no one. Stand up and admit the proof of the quasi-Riemann Hypothesis.

So much so that during this period, Perelman was dubbed the public enemy of mathematicians around the world.

Fortunately, Perelman did not just throw out the paper like he did more than ten years ago, and then ignore it and dig holes without burying people. That is the real pain. At least now, an academic seminar has been held on the proof of the quasi-Riemann Hypothesis.

There are more than 500 mathematicians invited to participate this time, plus the mathematicians who heard about it, the number is at least 2,000.

Fortunately, Lecture Hall No. 1 on the Shahe campus is large enough to accommodate everyone. It is more than enough to host such an academic lecture.

In fact, many students heard about it and came here to witness this academic event. Even undergraduates took the subway or took taxis to come to the Shahe campus. After all, academic events like this are rare.

"Qin, when I think about the fact that there are two to three thousand people attending this academic seminar, my heart is beating fast and I am extremely nervous. Otherwise, you should be the one to report on the seminar." Although it is still spring, the climate is pleasant and the temperature is Moderate, but Perelman, a big man, was very nervous, his palms were sweating, and he kept wiping his forehead, as if his forehead was constantly sweating.

Qin Yuanqing was speechless. He said it well at the beginning, why did he want to change his mind now?

However, Qin Yuanqing felt that Perelman's social phobia must be corrected. The world's great mathematician stands at the pinnacle of human intelligence, surpassing 99.99% of the people in the world. There is nothing to be afraid of.

"Perelman, hold on, don't panic!" Qin Yuanqing patted Perelman on the shoulder and said with a smile: "Isn't there still me? You just go ahead and I'll hold the line for you. If you need me for anything, If there is any supplement, I will supplement it as soon as possible!”

"Look at yesterday, wasn't it great that you received mathematicians from Russia?" Qin Yuanqing said with a smile.

Qin Yuanqing personally received world-class mathematicians such as Qiu Chengtong, Tao Zhexuan, Faltings, Wiles, and Deligne, while mathematicians from Russia were received by Perelman. Although Russia's economy has not been very good in recent years and is now no longer comparable to the economic scale of Guangdong Province, Russia has always been a very important force in the world of mathematics and is a powerful country in mathematics. If a Russian appears on the Fields Medal , don’t be surprised, this is very normal.

Although China is relatively unfamiliar with Russian mathematicians, in fact, Russia is rich in famous mathematicians, such as Kolmogorov, who founded the modern probability theory, and one of the pioneers of real variable function theory. Rukin, such as Chebyshev who proved Beltran's formula, the theorem of the distribution of prime numbers in the natural sequence, the half formula of the law of large numbers and the central limit theorem, such as Markov, a representative of the Petersburg School of Mathematics, such as modern probability Xinchin, one of the founders of the theory and the founder of the Moscow School of Probability.

Russia is rich in mathematicians, simply countless. Of course, the most famous person with the highest academic status in Russia during this era was Perelman.

Since Perelman joined the Institute for Advanced Study, there has also been a butterfly effect. More than ten famous Russian mathematicians have joined the Institute of Advanced Studies and taught at the Institute of Advanced Studies. This has also benefited from the mathematics expertise of the University. Keep approaching Princeton University.

Beijing time, at 9:00 in the morning, the report meeting officially begins!

The auditorium, which was originally bustling with people, suddenly fell silent.

Like a hundred birds flocking to the phoenix, pairs of eyes focused on the podium, focusing on the two figures who had just stepped onto the stage.

"I believe everyone has read the paper on the quasi-Riemann hypothesis during this period!" Qin Yuanqing glanced at the audience and said slowly: "The main purpose of this report meeting is to answer many questions about the quasi-Riemann hypothesis. Some questions in the proof of the Riemann Hypothesis.”

"The schedule of this report meeting is as follows. In the morning, there will be a one-hour report, a one-hour question and answer session, and in the afternoon there will be academic exchanges!" Qin Yuanqing talked about the process of the report meeting, and then said: "The next report will be given by Perelman. Lord, let me add to it, and now I would like to ask Perelman to report on the paper."

On the other side, Perelman also walked to the blackboard closest to him. Unlike Qin Yuanqing, who was used to using PPT, Perelman was used to using the traditional blackboard method. He raised his pen and wrote on it. The first line of this report is also the most core line of calculation.

"ζ(s)=2^s·π^(s-1)sin(πs2)Γ(1-s)ζ(1-s)..."

The moment this line of calculation appeared on the blackboard, everyone's eyes were focused on the blackboard, not on Qin Yuanqing.

Perelman was explaining as he wrote, and the calculations on the blackboard were like a string of flowing notes, dancing rhythmically under the sound of swishing brush strokes. This report conference, which focused the attention of thousands of people, was not It was just a report to these people, there was even a live broadcast by the media, and I don’t know how many people were watching.

Perelman seemed to have completely forgotten about the outside world and himself, writing down formulas one by one, without caring whether the people below could understand them!

Unknowingly, Perelman stopped the pen in his hand, took a deep breath, took two steps back, then turned around and said, "That's the basic situation. Let's move on to the question session."

At first, before he went on stage, Perelman was very nervous. But when he started writing calculations on the blackboard with the pen in his hand, all these nervousness disappeared. There was only the world of mathematics in his mind, and nothing more. other.

After completing the report at this moment, Perelman was full of confidence. Although he did not study the field of number theory at the beginning, over the past year or so, Perelman had reached extremely high attainments in number theory.

After all, in front of him, there is a person who is the first person in the world of mathematics to lead the way. Sometimes the exchanges often give Perelman great inspiration and feelings. Under such circumstances, Perelman is not outstanding in the field of number theory. It’s not even possible to make rapid progress.

"I have a question, it's the 6th formula in line 5 on page 21 of the paper." A young man sitting closer to the front raised his hand, and saw the manuscript he carried with him, on which he drew a few words with a ballpoint pen. The mathematical symbols that he could only understand were actually just one of several questions he had written down.

Everyone looked at the questioner, who was the famous mathematician 'Schulz' from Germany. Now Schulz has been hailed as the successor of Faltings and the leader of the young generation of mathematics in Germany. This year Phil A popular candidate for this award, it also enjoys a high reputation in the world.

Then everyone looked at Perelman and Qin Yuanqing on the stage.

In fact, during this period, everyone had some exchanges. The paper "On the Proof of the Quasi-Riemann Hypothesis" written by Perelman was too salty and difficult to understand, and there were even jumps in many places, so Mathematicians who are closely connected with each other are constantly communicating, but even so, there are still many problems that cannot be solved.

As scholars, we all know that it is much easier to find a logical loophole than to set up an airtight net. It is actually very difficult to resolve everyone's questions in a short report meeting.

When Wiles was proving Fermat's Last Theorem, it took him a full year to correct the loopholes in the proof and answer the reviewers' questions.

It is often easier to find loopholes than to solve them.

Just like destruction is often much easier than construction.

The papers written by Qin Yuanqing in the past were very logical and very detailed, which can be understood by doctoral students, and even many graduate students can read them. Although the papers are relatively long, everyone likes this style, and it does not look good in comparison. It will be difficult. Even if there are some things that I don't understand or understand, Qin Yuanqing's answers during the academic lectures are often unanimously recognized and warmly applauded by everyone.

But the current article about "Proof of Quasi-Riemann Hypothesis" was written by Perelman and is full of Perelman's style. The width of the entire paper is less than one-third of that of Qin Yuanqing, so naturally it is It’s extremely brain-burning, and there are many things that everyone doesn’t understand or understand. This is naturally because everyone subconsciously thinks that there are loopholes or fundamental logical errors.

Now Schultz is just young and energetic and can't help but ask questions first, so everyone wants to see how Perelman answers.

Once the academic lecture meeting fails to answer some questions, it must be re-examined and answered after the lecture meeting. Otherwise, the mathematics community will not dare to admit the correctness of the paper.