A genius? I just love studying.

Chapter 143 We're here to take the exam, you're here to teach the class?
第二题是一道不等式证明题，证明：a^2+b^2+c^2≥4√3T.
Chen Hui didn't know what to say about this problem. He simply used Heron's formula to expand it, and the result was already obvious. Its appearance in the IMO competition even lowered the level of the IMO.

Let's go straight to question 3.

This question is somewhat interesting, but those familiar with Zu Chongzhi's set of points should be able to find the proof quickly. This question should pose no threat to the Chinese participants.

Although the thought process is clear, it will still take some time to write out the complete solution.

After finishing the answer to the last question, Chen Hui raised his hand to hand in his paper.

There is no rule at the IMO that you can only hand in your paper half an hour after the exam starts. Although the proctor was surprised, he readily agreed to Chen Hui's request to hand in his paper.

There was no clock at the back of the examination room, so Chen Hui didn't know how long it took, but the proctor did.

9:39!
In other words, Chen Hui completed the solutions to the three problems on the first day of the IMO in just nine minutes.

evildoer!

Seeing the answer sheet filled with writing, the proctor sighed inwardly.

But soon I felt a little regretful.

Because this candidate is Chinese.

If he were a candidate from another country, he would probably have already seen a rising star in the mathematics world, like Schultz and Tao Terence back then, who have now grown into towering giants in the field of mathematics.

They also performed well in the IMO. Schultz participated in four IMOs and won three gold and one silver medals, while Tao participated in three IMOs and won one gold, one silver and one bronze medal. Although their results may seem poor, Tao won the bronze medal at the age of 11, the silver medal at the age of 12, and the gold medal at the age of 13. He is also the youngest gold medalist in IMO history.

After participating in the IMO, the two became prominent figures in the mathematics community, achieving great success. In 2012, Schultz proposed a completely new concept of morphologically complete space in his doctoral dissertation. This concept was designed to simplify a series of arithmetic problems on P-advanced numbers. This theory not only provided new ideas for solving difficult problems in algebraic geometry, but was also praised by many experts as an important framework for the future of algebraic geometry, receiving widespread attention and recognition from the international mathematics community.

In 2013, Schulz received the Ramanujan Prize; in 2015, he received the Kohl Prize and Fermat Prize, the highest awards in number theory; in 16, he received the Leibniz Prize and the New Horizons in Mathematics Prize; in 17, at the age of 30, he became a member of the German Academy of Sciences; and in 18, he received the Fields Medal, the highest award in mathematics!
Terence Tao is no less accomplished, having won numerous prestigious awards including the Salem Prize, the Clay Research Fellowship, the Waterman Prize, and the Fields Medal. His achievements in mathematics are also unparalleled by most mathematicians.

Unfortunately, this student is Chinese!

The proctor felt a deep sense of regret once again.

Because many Chinese people had achieved amazing results in the IMO, he once had high expectations for these young Chinese talents. Unfortunately, he was disappointed time and time again.

These people did not achieve anything earth-shattering in the field of mathematics. For many, an IMO gold medal is already the greatest award they have ever received in the mathematics community.

He had even heard that a Chinese IMO gold medalist became a monk after graduating from university.

He couldn't explain why these teenagers, who were all incredibly talented and whose performances at the IMO were even better than Schultz and Tao, couldn't achieve the same transformation as Schultz and Tao.

Could it be that that land was truly cursed by the god of mathematics?

Chen Hui was unaware of the proctor's inner thoughts. He had already received his phone and backpack from Teacher Xu and was preparing to go to Saclay University to find a classroom to study.

Xu Zhiyuan didn't ask Chen Hui how he did on the exam at all. Even though only a dozen minutes had passed from when Chen Hui entered the exam room to when he came out, the time he spent preparing for the exam was even longer than the time he spent answering the questions.

But given Chen Hui's current understanding of mathematics, it's impossible for him to do poorly on the exam.

Or to put it another way, even if he does poorly on the test, it won't affect Chen Hui at all. A high school student who can publish in core mathematics journals really doesn't need to care about his IMO results.

At least that's what Xu Zhiyuan thinks.

Empty classrooms are easy to find in China, but at Saclay University, it seems to be a different story.

He happened to see a group of classmates sitting on the lawn studying, so he simply followed suit, sat down on the lawn, and started reading his paper. A good horse doesn't need a saddle.

The sun was shining brightly today, sweeping away yesterday's gloom, and many students were playing on the lawn.

“Note this modified Ricci-DeTurck flow equation—it is essentially a geometric realization of the Yang-Mills equation on a noncompact manifold. When we introduce instantaneous solutions, we are actually looking for gauge field configurations that satisfy the self-dual condition, i.e., solutions that satisfy FA+=±FA. These solutions have special topological significance on four-dimensional manifolds; they correspond to generators of Donaldson invariants…”

After sitting down, Chen Hui noticed a small blackboard among the group, covered with the differential geometric framework of gauge field theory: master-slave connection, curvature tensor, instanton equations...

Meanwhile, the bald, middle-aged man in the middle was talking animatedly to his classmates.

So, are they having a class?
Having class on the lawn?

This was the first time Chen Hui had ever seen it; if he had known beforehand, he wouldn't have come to join in the fun.

After hesitating for a moment, Chen Hui finally decided not to leave. It wasn't easy to find a quiet place to study these days, so he might as well continue reading here. He had arranged to meet Li Zehan after their exams to experience the cafeteria at Saclay University.

Looting...

The bald, middle-aged man had already turned around and started writing on the small blackboard, starting from the Yang-Mills action S_SYM=∫d^4xTr(F_μνF^μν), and obtaining the equation of motion through variational methods...

Accompanied by the sound of snatching, Chen Hui was already immersed in the world of knowledge.

……

Inside the examination room, Gao Zhen proudly raised his head. He was in great form today, answering all three questions in one go without any pause, completing the answers smoothly.

Competition is indeed the best way to unleash potential!
He believed that no one could be faster than him!
He looked up and instinctively glanced in that direction, only to see an empty table.

Did he go to the restroom?

Gao Zhen was somewhat bewildered.

He is very clear about his own strength. He easily won the gold medal with a perfect score last year, so his strength is naturally even stronger a year later.

He was in excellent form for this exam, performing far beyond his usual level. How could anyone do it faster than him? He couldn't believe it!
So that guy must have gone to the toilet!
At this moment, the American athlete also looked up and gazed at Chen Hui's position.

Then the two exchanged a knowing glance.

Gao Zhen snorted coldly. This American contestant was quite good to finish so quickly, but he was still slightly inferior to him.

Raise your hand and hand in your paper.

Gao Zhen couldn't wait to leave the examination room.

"Hey, you kid surnamed Deng, wanna make a bet? I bet the boss has already handed in his paper. Want to bet?"

Outside the examination room, Li Zehan looked at Deng Leyan with ill intent.

He didn't provoke Wang Xiao, who was standing to the side, because he knew Wang Xiao wouldn't gamble with him, so he could only bully Deng Leyan, this outsider.

However, Deng Leyan didn't even glance at him.

Having gone through so many exams, how could he not know Chen Hui's abilities? Questions that they could easily answer, how could they possibly stump that guy?

They were just waiting for Chen Ling'er to come out. Gao Zhen, who had just stepped out of the examination room, stood there stunned, looking at the Chinese examinees, his mind filled with big question marks.

"Have they all gone mad?"

"They handed in their papers so quickly, did they even finish the questions?"

"Has China stopped valuing the IMO so much lately?"

Countless questions arose in Gao Zhen's mind.

Of course, he actually had another guess, but he just didn't want to believe it.

"Student, please hand in your paper and leave the exam area as soon as possible."

The mobile invigilators woke Gao Zhen up and "escorted" him out of the examination room to his team leader.

"That kid from China handed in his paper in about ten minutes, and the rest of them came out a few minutes ago as well."

Before Gao Zhen could even ask, the island nation's team leader said, "If we don't count the time spent handing in the papers, he probably didn't take more than ten minutes to answer all three questions!"

The worst guess turned out to be true!

Gao Zhen's face was somewhat pale.

As a Chinese person, going to settle in an island nation and representing that island nation in battle, the pressure he carried was unimaginable. He could see this from his predecessor, Zhang Benzhihe.

Therefore, his only belief is that he can exert greater strength to prove that the educational environment in the island nation is better than that in China, and that going to the island nation was the right choice.

The feeling that only the Chinese people in the whole world treated him like an islander was too despairing; he had to find his own spiritual pillar.

But now, his pillar is crumbling, while the students who stayed in the country have equally bright futures.

And it wasn't just one; five out of the six contestants from China finished before him. That's terrifying.

"It's just an exam, Mr. Takasaka."

The team leader glanced dismissively in the direction of the Chinese team. "You've already won an IMO gold medal. So what if he's stronger? Can he be stronger than a perfect score gold medalist?"

"It's useless to do well in the IMO. China's competition training is like draining the pond to catch all the fish, squeezing out potential and consuming the future. Their performance in the IMO is already the peak of their mathematical level in their lifetime, and they will decline precipitously afterward."

"But you are different. You have an unlimited future. Your mathematical career has only just begun!"

Gao Zhen's mind calmed down considerably.

That's right, I still have unlimited potential to rise, while those guys are already dead and withered, and this is just a last gasp before they die. Why bother comparing myself to them?

The sun moved slowly overhead, and after an unknown amount of time, Chen Ling'er also came out. One after another, a large number of candidates began to hand in their papers, and it was clear that today's test questions were indeed not very difficult.

I checked the time; it was already past eleven.

Where is Chen Hui?

"Send him a message and let's go to the cafeteria for lunch together."

"Everyone has arrived," Xu Zhiyuan said to Li Zehan, knowing that Li Zehan and Chen Hui were sharing a room.

"Wuhu!"

Li Zehan cheered. He gets excited whenever food is mentioned; his 200-pound frame isn't for nothing.

After sending a message to Chen Hui, they headed towards the Saclay University cafeteria. Not only them, but many other candidates also headed in this direction. It seems that the habit of experiencing the cafeteria of a new school is not unique to the Chinese.

……

On the lawn in front of the university library at Saclay, the bald professor's lecture was drawing to a close.
He wrote on the blackboard,
"Suppose we consider a gauge potential Aμ(x)∈su(2) in five-dimensional gauge field theory, whose field strength tensor satisfies F_μν=μAννAμ+[Aμ,Aν]. Now we are required to construct a gauge potential that satisfies the following conditions:
在三维球面S3的无穷远处渐近趋于纯规范形式 Aμ→U1μU（其中 U∈SU(2)）整体曲率满足∫_S^3Tr(F∧F)=8π2
Question: Does such a gauge potential exist?

He then turned around and looked in Chen Hui's direction, "Excuse me, could you answer this question?"

He had noticed Chen Hui a long time ago. It was one thing for this guy to be late for class, but once he arrived, he didn't listen to a word and just sat there reading papers. He had to teach this guy a lesson. Listening to lectures was more efficient than reading papers on his own!

Chen Hui was woken up by the classmate next to him. This fair-skinned girl with brown hair and blue eyes touched his shoulder and then gestured towards the blackboard.

Chen Hui looked up at the blackboard blankly.

"Does this student have any ideas?"

The bald professor looked at Chen Hui with a smile, appearing kind and amiable.

Considering the context, Chen Hui realized that he had probably been chosen to answer a question, which was indeed a beautiful misunderstanding.

He hesitated for only a second before abandoning the idea of ​​explaining the truth and looking at the question seriously.

He had listened to the lecture for a while when he first arrived. The professor was teaching about the mathematical knowledge involved in the Yang-Mills equations, and the topic was also a gauge field theory topic, which happened to be something he had some knowledge of.

He quickly came up with an idea.

The pure gauge form of the gauge potential at infinity indicates that this is a trivialization problem belonging to the principal bundle. The relationship between the integral constraint of curvature and the number of instants has been given. To explain its topological classification, we need to connect it with the homotopy class and homology group of the SU(2) bundle...

The idea naturally came to mind, and Chen Hui stood up.

Just then, Li Zehan and his group, who were on their way to the cafeteria, happened to pass by the library and saw Chen Hui standing up.

"?"

"We're here to take an exam, so why is he attending classes at Sackley University?"

Li Zehan was both amused and exasperated, finally managing to say, "Boss is awesome!"

Xu Zhiyuan's gaze turned serious as he looked at the bald professor in front of the blackboard, his brows furrowing slightly.

Not only Li Zehan and his group, but other IMO participants who went to the cafeteria for lunch also saw this scene. They all remembered this Chinese participant and were full of curiosity about him.

Wasn't he here to participate in the IMO?

Could he be a student at Saclay University?
The puzzled crowd stopped in front of the lawn, waiting for an answer.

(End of this chapter)