I really just want to be a scholar

After completing a two-hour special academic report, Qin Ke and Ning Qingyun only rested for ten minutes before returning to the stage to discuss issues with all mathematicians from various countries attending the meeting.

During these ten minutes, all the mathematicians who wanted to ask questions had written them on sticky notes, folded them up and dropped them into the big box in front of the stage.

After the communication session begins, IMU staff will take out one note at a time and hand it to Qin Ke and Ning Qingyun, who will then open it for answer exchange.

Because questions do not limit the content of sub-disciplines, almost all the mathematicians present tried to write down a question, but everyone also had concerns. Writing this note requires a signature - if you do not sign and indicate your identity, it will be regarded as invalid. Question - Everyone is worried that the questions they ask are not good enough and will be embarrassing, so they are very careful when writing the mathematical questions on this note. Some mathematicians are not confident in writing down the questions themselves, and they hesitate to hand it in after all. .

So in the final ten minutes, only nearly two thousand mathematicians submitted questions, but the big black box was still mostly filled.

When Qin Ke and Ning Qingyun announced the start of the exchange session, IMU staff soon came on stage. To everyone's surprise, the staff member responsible for extracting questions turned out to be the No. 3 figure in IMU, Secretary General Nahun Butch!

Nahun Butch is also a legendary mathematician. He is an academician of the National Academy of Sciences. He has been a mathematics professor at MIT for 20 years. He is very good at group theory, number theory and combinatorics. He has won awards including He has won more than a dozen international awards, including the MacArthur Genius Award. He is also a literary writer and has written several best-selling books. He was later invited to join IMU and has been working there for five years. He is currently the Secretary-General of IMU and is responsible for various daily affairs. , he was responsible for organizing and convening the last two International Congresses of Mathematicians.

Such a big shot actually came to do something as trivial as extracting a problem?

Facing the surprised eyes of thousands of people, Nahuen Buqi first smiled at Qin Ke and Ning Qingyun and said: "Academician Qin, Academician Ning, I wonder if I can serve as this staff member?"

Qin Ke and Ning Qingyun were also a little surprised, but they still nodded: "Then I'll trouble Secretary-General Butch."

"This is my honor." Nahun Butch then turned around and said to the audience: "I came uninvited. I hope everyone won't be surprised, because I am really curious and want to get closer. I am watching how these two magical masters of mathematics from the Xia Kingdom answer the tricky questions raised by you. I am also willing to swear on my honor to ensure that the question selection process is completely fair and impartial, without any fraud."

Nahun Butch's words immediately made the atmosphere of the meeting lively. Many people laughed heartily when they heard the "tough question", and some even whistled.

Yes, who asked Qin Ke to boast that he could raise any questions related to mathematics and all sub-sciences for communication?

And since he and Ning Qingyun are on the stage, the "communication" actually means "discussion", or it means "everyone is welcome to compete".

Among the mathematicians present who are qualified to attend the meeting, which one is not a very accomplished and arrogant person in their respective fields? We don’t have the confidence to compete with you in the sub-disciplines such as number theory, algebra, geometry, partial differential equations, etc. that you two are good at. But in the fields that we have studied for decades, will we also lose to you?

Whether it was out of wanting to solve long-standing mathematical doubts in their minds, or out of wanting to embarrass these two young mathematicians who were too popular, many people wrote down extremely tricky and even difficult mathematics on this piece of paper. Of course, in order to avoid going too far and being criticized by others, the difficulty of these questions will be kept within a relatively reasonable range. At least no one will write BSD conjectures to ask questions.

In any case, once Qin Ke and Ning Qingyun encounter difficult questions that cannot be answered, their reputations will be more or less damaged.

At this time, many people were laughing when they heard that Nahun Butch had exposed his little idea, hoping that their questions would be drawn.

The commotion around them made many mathematicians who were concerned about Qin Ke and his wife a little nervous.

I am afraid that only Faltings, Deligne, Edward Witten, Mr. Qiu and others who had had in-depth contact with Qin Ke in the audience had the calmest expressions. They even looked at the people around them with a hint of joking in their eyes.

While everyone was watching with worry, curiosity, expectation, or gloating, Nahun Butch took out the first question. He unfolded it in front of everyone, and pointed the camera at the words above, and then Read it out, of course, in English.

"How can we generalize the conclusion of harmonic mapping to multiple harmonic mappings based on the multiple harmonic mapping from the complex manifold M to the symplectic group Sp(N)? Can you share your opinion? Asked by: Willy Arne of Cambridge University special."

When this question was read out, the audience suddenly started to murmur.

Willy Arndt was a well-known mathematics professor at Cambridge University. When he heard that his question was drawn, he stood up, took off his hat in a very gentlemanly manner and bowed slightly to Qin Kening Qingyun on the stage before sitting down again.

Many mathematicians in the audience who are researching or familiar with this field also began to think with their eyebrows, thinking about how to best answer this question.

This question is indeed raised in great depth. The correlation between complex manifolds and symplectic groups and harmonic mapping have been relatively popular directions in the past ten years. They belong to the composite research content of differential manifolds and Lie groups in algebra, even if it is It is difficult for senior university professors who have studied this field for many years to give a satisfactory answer in just ten or eight minutes.

At least many people in the audience were frowning, and it was obvious that they could not think of a suitable answer at the moment.

Qin Ke just smiled easily and indicated that Ning Qingyun would answer.

The overall theory of differential manifolds originated from the in-depth study of fiber bundles and representational classes from the perspective of algebraic topology, and later formed differential topology. These fields happen to be one of the directions in which Ning Qingyun is best at.

Qin Ke has been teaching Ning Qingyun through "thinking resonance" for a long time, and he knows very well what knowledge points she has mastered and what level she has reached.

This question is a bit challenging for Ning Qingyun, but it will never be impossible to answer.

Sure enough, Ning Qingyun began to concentrate on thinking when she heard the question. At this time, she roughly had an idea. Under Qin Ke's encouraging eyes, she opened her lips lightly and replied: "You can start from the single connected area ΩR The factorization of the harmonic map with finite uniton number from ^2{∞} to the symplectic group Sp(N) and the upper bound estimation of the minimal symplectic uniton number begin..."

She spoke a little slowly at first, but became more fluent as she spoke, and in just over three minutes she explained the main ideas clearly and completely.

Willy Arndt stood up again and sighed with appreciation: "Academician Ning, your answer is great, some of your ideas inspired me, it's amazing!"

Applause burst out. There were all knowledgeable people present. Although they may not all be good at this field, everyone knew what Ning Qingyun said and answered it very well.

Nahuen Buchi took out a second question. This time it was the "linear operator perturbation" problem in the field of functional analysis. It is also a direction that Ning Qingyun is very good at. Ning Qingyun will still answer it. The third question is about the E8 grid of discrete probability distribution and the closest packing of equal-volume spheres in 8-dimensional space. The questioner is Professor Akihiro Sugisaki of Kyoto University, who has won the Kyoto Prize in succession in the past three years. One of the representatives of the Mesozoic generation in Japanese mathematics who won the Mathematics Breakthrough Award.

Akihiro Sugisaki stood up and bowed respectfully to Qin Ke and Ning Qingyun on the stage: "Please give me your advice, two academicians!"

The questions this time are more difficult, involving probability theory and analysis, geometry, Lie algebra and root system theory, etc., spanning seven or eight sub-disciplines.

Everyone present frowned upon hearing this. The question raised by the Japanese professor was not only tricky, but also very unpopular. A quarter of the mathematicians present had only heard of the term E8 grid and had some impression of the related theory. Really If I had to let them answer, I would probably just sit down in La.

This time Qin Ke signaled Ning Qingyun to take a sip of tea to moisten her throat, then he took the microphone and said: "This problem seems complicated, but in fact it is not difficult as long as you find the key points. We can start from the grid point accumulation problem in discrete mathematics. Let’s get started…”

Qin Ke talked eloquently and finished the answer easily. Sugisaki Akihiro was stunned for a few seconds, then stood up again and asked several questions. Qin Ke answered them all in seconds, and also casually asked Sugisaki Akihiro a divergent, to expand the unit particle. As a result, Akihiro Sugisaki was speechless, and finally bowed 90 degrees to Qin Ke and said loudly: "Thank you for your guidance!" Then he sat down with a blushing face.

Everyone present finally became commotion again.

From the question Akihiro Sugisaki just asked, it can be determined that this Japanese professor is indeed an expert in the direction of discrete probability distribution, and his research is extremely in-depth. However, no one expected that such a master-level expert would not only be unable to question Qin Ke, but would also be defeated by Qin Ke. Ke Wen fell down!

You must know that Qin Ke has never published any papers or remarks about this E8 grid!

Next, Qin Ke's performance once again refreshed everyone's understanding. Nahun Buqi kept extracting questions. Qin Ke either asked Ning Qingyun to answer or answered by himself. He connected more than fifty questions, but there was no one. One problem can be difficult for them both!

That's it for Ning Qingyun. She also has to think a lot, and although the level of her answers is very high, they are within the scope that everyone can understand.

Qin Ke is completely different. No matter what the question is, he answers it directly and instantly, more fluently than memorizing the answer. He can also have in-depth discussions with the questioners on extremely complex and difficult questions, making all the questioners retreat in shame. .

Later, the questioner who was asked a question only waited for Qin Ke to finish answering, then stood up and thanked him, and did not dare to continue to communicate further, so as not to embarrass himself in front of mathematicians around the world.

It was not until 12:10 noon that the morning special report officially ended. The audience woke up from a dream and gave the two young mathematicians on the stage the warmest applause that almost lifted the ceiling.

Mr. Langlands stared at Qin Ke and Ning Qingyun on the stage for a while, then turned to his old friend next to him and said: "Today I saw top mathematical geniuses who surpassed Gauss and Riemann. Oh no, to be precise. Said, I saw God, Qin Ke is the living God of Mathematics."

Johann Carl Friedrich Gauss is known as the "Prince of Mathematics" and "the top genius born for mathematics."

When he was 19 years old, he spent just one night using a ruler and compass to make a regular heptagon, solving a problem that had remained unsolved for two thousand years in Euclid's time. He published a total of 323 works and proposed more than 400 ideas in his lifetime. Scientific insights (178 of them were published publicly, and the rest were recorded in manuscripts and were discovered by later generations. It is said that some contents not recorded in manuscripts are unfortunately missing)!

There are as many as 110 achievements named after him, covering the fields of number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, matrix theory, optics, etc. He can be said to be a knowledgeable and versatile person. Super genius.

Bornhard Riemann, Gauss's favorite disciple, was also a genius among geniuses and was known as "whose genius surpasses all mathematicians of his generation."

When he was 14 years old, he began to study Legendre's more than 800-page treatise on number theory, and in just six days he could easily answer any questions raised by his teacher about the knowledge points in the book.

In his lifetime, he created the Riemann function, Riemann integral, Riemann geometry, Riemann hypothesis, Riemann lemma, Riemann manifold, Riemann mapping theorem, Riemann-Hilbert problem, Riemann idea ring matrix , Riemann surfaces and a large number of theories, all of which are great theories that have a profound impact on the mathematical world. For example, Riemann integral laid the foundation for calculus, and Riemann geometry directly laid the mathematical foundation for general relativity...not to mention "Riemannian calculus" "Conjecture" is a famous mathematical conjecture that is one of the seven millennium mathematical problems.

These two are both recognized gods of mathematics in history. People who can compare with them throughout the ages can be counted on ten fingers.

But Qin Ke, who is now only 25 years old (actually still more than a month away from turning 25), is considered by the arrogant Langlands to be a top mathematical genius surpassing the two gods of mathematics above. God of Mathematics! From this we can see how much Qin Ke's performance today shocked the old master of mathematics.

Given Mr. Langlands' current status in the mathematics community, this extremely high evaluation spread almost as quickly as possible, and caused frantic reporting by media reporters.

"Master Langlands said that Qin Ke is a top mathematical genius who surpasses Gauss and Riemann! 》

"Langlands: Chinker is the living god of mathematics!" 》

The mathematics community is once again excited, but the vast majority of people agree with Mr. Langlands’s evaluation, especially after witnessing Qin Ke’s god-level strength that far exceeds human limits today, they are sincerely impressed by him. The mood of worship.

Some mathematicians even directly said that even without mentioning the results of solving various millennium mathematical problems, the new geometry founded by Academician Qin Ke alone is enough to surpass the "Emperor of Algebraic Geometry" Grothendieck and directly become a god.

Some mathematicians who had not joined Qin Ke's "Global Extreme Climate Big Data Advanced Analysis Team" for various reasons regretted it. They contacted Qin Ke privately and expressed their willingness to put down their careers and move their families to Xia Country, as long as Qin Ken could Nod to agree that they join the "Global Extreme Climate Big Data Advanced Analysis Team" so that they can learn from Academician Qin Ke...

In the next few days of the International Congress of Mathematicians, the presenters worked hard to showcase their best and most outstanding results. Unfortunately, the audience present was completely shocked by the amazing performance of Qin Ke and Ning Qingjun that day, and their eyes changed. If it is too high, even if the reporters behind are indeed of good quality, the response will not be very enthusiastic.

On the tenth day, the International Congress of Mathematicians ushered in the closing ceremony and the most important awards ceremony.

On this day, the list of this year’s most noteworthy Fields Medal winners will be announced!