The unparalleled talent of the country started from Harbin Institute of Technology

Friday, September 30, 1988.

Tomorrow is National Day. Wang Duoyu received a call asking him to go on a business trip to Beijing and take the children with him to visit the city.

"Dad, are there any more mooncakes? I want to eat more."

Just before setting off, Wang Junan suddenly asked a question, and Liu Xiaoli immediately reprimanded him:
"What are you eating? How many mooncakes have you eaten since the Mid-Autumn Festival? Are you still going to eat more? Be careful your teeth don't rot."

Wang Duoyu, standing to the side, didn't say anything, but just watched with a smile.

The idea of ​​playing the good cop or the bad cop doesn't exist.

With Liu Xiaoli at home, Wang Jun'an and the other kids can forget about getting ahead.

The 25th was the Mid-Autumn Festival. Zheng Baoyin and his family brought back a lot of sweet lotus seed paste mooncakes from the south. They were from several well-known Cantonese mooncake brands, such as Lianxianglou, and the children especially loved them.

Humans find it hard to resist sweets.

Children, in particular, lack self-control and love sweets.

Other children might not get to eat many candies all year round, but Wang Junhong and his friends get to eat candy almost every day.

Therefore, when faced with lotus seed paste mooncakes, which are also sweets, it is natural for adults to control children's intake of this type of sweet.

There are still more than a dozen boxes at home. We didn't even finish giving them all away as gifts; in fact, we ended up with quite a few left over.

Especially the Wang sisters, who always love to join in the fun and bring back lots of sweets like chocolates from abroad.

The most outrageous one has to be Wang Jianchao. Every time he buys chocolate, it's so sweet it's cloying.

With so many sweet treats bombarding them, kids' teeth are bound to suffer some damage.

"Mom, my teeth aren't rotten, and my older brother even ate a mooncake this morning, so why can't I eat one?"

"You ate two yesterday, two the day before yesterday, and the day before that, plus the two days of the holiday. In just a few days, you've eaten two and a half boxes of mooncakes, all of them lotus seed paste mooncakes."

Double egg yolk lotus seed paste mooncakes are Wang Jun'an's favorite. He doesn't even like egg yolks, he only likes lotus seed paste, and he doesn't even like the crust.

That's excessive. This child is just so picky, I don't know where he learned it from.

Wang Duoyu and Liu Xiaoli are not like that; it's just that this child is picky about everything.

With this kind of personality, he needs to be disciplined.

Wang Jun'an, whose desires were not fulfilled, pouted and was about to cry.

"Don't force me to slap you when you're happiest!" Wang Duoyu interjected.
"Go ahead and cry if you dare. If you do, you'll stay home. I'll take your brother and sister to the capital, but I won't take you!"

Swish!
The little guy immediately stopped crying; even though tears were streaming down his face, he still had to put on a smiling face.

This appearance successfully made Wang Duoyu and Liu Xiaoli laugh.

Wang Junhong, who was standing nearby, was holding up his camera and recording the scene.

In Wang Duoyu's opinion, such a funny scene should be preserved and shown to Wang Junan when he grows up.

The mooncake incident is now over.

Wang Duoyu took out the mooncakes from his home and distributed them to several math students.

If these mooncakes are left at home, the little guy will definitely nag about them. So it's better to just give them away, then he won't think about it anymore.

He and Liu Xiaoli no longer have to worry about the little guy nagging them because of this, and they can finally have some peace and quiet.

The family took a plane and arrived in Beijing.

Wang Duoyu was in Beijing on a business trip this time, and he took the opportunity to let Wang Junhong and the other kids go to Tiananmen Square to watch the flag-raising ceremony.

The next morning, Wang Duoyu got up at 4:30 a.m. and urged the children to get up.

We set off at 5 a.m. and arrived at Tiananmen Square to wait for the flag-raising ceremony.

There weren't many people, but there weren't few either.

Today is National Day, and the flag-raising ceremony is especially solemn.

With flowers and other decorations placed around Tiananmen Square, and national flags hung along Chang'an Avenue, the atmosphere for National Day was already fully created.

The eldest son, who is already almost as tall as Wang Duoyu's shoulder, is growing very fast.

It was only while waiting in line that Wang Duoyu realized this.

"Xiaoli, look how tall our eldest son is already. He's only eight years old."

Upon hearing this, Liu Xiaoli laughed, "Yes, they're almost as tall as me now."

“Dad, I’m tall too!” Wang Jun’an and Wang Jun’kang jumped up eagerly to show that they were not short either.

They are clearly short, after all, they are still very young.

Time flew by as we chatted and laughed.

As dawn broke and the first light of day appeared, the gates of Tiananmen Square were slowly opened.

Not long after, the honor guard began to appear.

Seeing this, Wang Duoyu led the children to stand in front of the fence, straightening their backs.

Yuan Zuliang gave Mu Xiaowu and the others a look.

Because of the honor guard, Mu Xiaowu and the others couldn't help but want to march in formation.

But their job now isn't to march in formation; it's to protect Wang Duoyu and his family, especially Wang Duoyu.

There were still quite a few people around at that time. Although there might not be any bad people, it was always good to be cautious.

In fact, those who get up at this time to watch the flag-raising ceremony are all patriots with passionate hearts.

It's almost impossible for someone to take advantage of a situation.

Wang Duoyu's appearance near the flag-raising platform was a last-minute decision; even Liu Xiaoli and the others didn't know about it.

Not to mention everyone else.

"Get up, I don't want to."

Accompanied by a rousing song, the national flag was slowly raised.

The eldest child and several other children standing next to Wang Duoyu were singing loudly.

You may not know how to sing other songs, but you must know how to sing the national anthem.

It's not just because Wang Junhong and his friends grew up on the Harbin Institute of Technology campus and were exposed to the song from a young age, but also because they occasionally sing this song themselves.

Near the flagpole, everyone, whether it was the honor guard or the people watching the flag-raising ceremony, was solemn and sang the national anthem in unison.

Soon, a cheer rang out, and the national flag was already fluttering in the wind.

After the flag-raising ceremony, Wang Duoyu led the children straight to a nearby courtyard alley to find breakfast.

You won't find Guishunzhai Sachima around here, but you can find plenty of shops selling Beijing-style noodles with soybean paste, fried dough sticks and steamed buns, and Tianjin-style Goubuli steamed buns.

In 1988, the reform and opening up had been going on for ten years.

In Beijing, there are already many breakfast shops like this at the entrances of hutongs.

Years ago, Wang Duoyu's favorite food shop, Guixiangcun, is still open.

However, you still need a receipt to buy desserts and snacks from this store.

Food coupons are a relatively old term, but at this point in time, the coupon system is practically defunct.

However, it was not actually cancelled, so some stores still have it.

Does Wang Duoyu have tickets?

No, but if you want to eat it, isn't that easy?

One phone call is all it takes to arrange for someone to help with the purchase.

After breakfast, Wang Duoyu and Liu Xiaoli took their children for a stroll around the Beijing area. Today was National Day, and he was taking a holiday.

National Day is a two-day holiday, the same all over the country.

The Golden Week holiday isn't coming anytime soon.

Time flies, and the two-day holiday is over in no time.

After his holiday, Wang Duoyu went to research institutes such as Beijing University of Aeronautics and Astronautics to complete his work.

At this point in the development of the Mach 5 fighter jet project, Wang Duoyu is no longer needed for much of the work.

Especially after he had completely solved the strong solution of the Navier-Stokes equations, this project had lost its meaning for him.

However, for the military, the Mach 5 fighter jet project remains the most important project, without exception.

The J-10 project may be restructured, but the Mach 5 fighter jet project will not.

Furthermore, as time goes on and more mathematical researchers master the mathematical tools for finding strong solutions to the Navier-Stokes equations, the pace of research and development in the aerospace field in China will accelerate.

Time flew by and it was already mid-October. Wang Duoyu finished his work, stayed in Beijing for two more days, and then returned to Harbin.

After returning to Harbin, Wang Duoyu logged onto the Harbin Institute of Technology website again and uploaded a paper on the functor hypothesis.

After this paper is published, he will have one last paper left.

In addition, there are two unpublished papers in the alloy box: a new large value estimate of the Dirichlet polynomial and a new type of automorphic infinite product.

In the short term, he doesn't need to worry too much about not having enough papers.

However, the Riemann Hypothesis is not progressing very smoothly, and it has been almost a year.

So Wang Duoyu is now pondering a question: should he continue to relentlessly work on the Riemann Hypothesis?
Being God isn't easy; after such a long time, he still has no clue.

So he started thinking, maybe we should change to another topic.

Based on his past experience in researching mathematical topics, he has already spent nearly a year working on the Riemann Hypothesis, no matter how difficult it may be.

Since we still can't overcome this challenge, let's try another approach.

On October 20th, Wang Duoyu made up his mind to start looking for other research topics and temporarily abandon the Riemann Hypothesis.

Several challenges lay before him: the Hodge conjecture, the NP-complete problem, the BSD conjecture, and so on.

There are also the perfect number conjecture, Goldbach's conjecture, Cramer's conjecture, and the perfect cuboid conjecture, all of which are extremely difficult mathematical problems to prove.

According to the currently recognized classification of mathematical problems by difficulty level, Hodge's conjecture, Goldbach's conjecture, and NP-complete problems are all in the first tier.

The perfect number conjecture and the Cramer conjecture are considered to be in the third tier, while the perfect cuboid is somewhere between the second and third tiers.

There are many problems, but solving them is not so easy.

While Wang Duoyu was busy choosing his next research topic, Qiu Chengtong and others at the Ice City Advanced Research Institute were dumbfounded.

This morning, Jean-Baptiste Gayn, editor-in-chief of the Harbin Institute of Technology Mathematics Journal, presented a paper.

"Professors, today I have presented you with a very good paper, which is the paper on Bocherz's proof."

John Milnor and the others were interested, but not very interested.

Because they have a lot to do right now, especially since Wang Duoyu uploaded a paper proving the functor conjecture a couple of days ago.
But when everyone learned that Bocherz had actually proven the Moonlight Conjecture of the Demon Swarm, their eyes widened in astonishment.

Shing-Tung Yau immediately stood up in surprise and said:
"Did he complete the proof independently? Is Professor Wang the second author?"

Everyone knows that Bocherz is Wang Duoyu's student, and that Bocherz had already begun researching the Moonlight Conjecture of the Demon Swarm many years ago.

Nearly seven years later, Bocherz has finally completed his paper, although we haven't seen it yet and don't know if it has truly proven its validity.

However, everyone knows a little about what kind of person Bocherz is.

After all, we all work in Harbin, and over the years, we've gotten to know each other's personalities to some extent.

Especially after Yorkes won the Fields Medal two years ago, people have paid more attention to Wang Duoyu's other students.

To everyone's surprise, at this point in time, Bocherz actually produced such a paper.

Once the review is approved, Bocherz could potentially win the Fields Medal in 1990.

Of course, it's only a possibility.

The competition for the Fields Medal has been extremely fierce in the past two International Congresses of Mathematicians.

Arancone is the most qualified to speak on this, since he returned empty-handed from Warsaw in 1983.
The field of the 1986 award also had many contenders, including Alain Connie, Jean-Baptiste Gayn, Simon Donaldson, Vladimir Field, and Wang Duoyu.

Two years later, in 1990, Wang Duoyu was practically guaranteed a Fields Medal.

Even though he had already obtained two before, a quick count would reveal what Wang Duoyu had been doing since 1986.

Following the International Congress of Mathematicians in 1986, Wang Duoyu published five papers proving the Collatz conjecture, the Banach hyperplane problem, infinite-dimensional partial differential equations, and the functor conjecture.

It's worth noting that the proof papers for the functor conjecture include the Artin conjecture, the Ramanujan conjecture, and the Sato-Tate conjecture, totaling seven papers. Wang Duoyu has already published five, one is under review, and the last one is still quietly lying in the alloy box in Wang Duoyu's office.

Given these mathematical achievements alone, wouldn't it be fair to award Wang Duoyu a Fields Medal as well?

Of course, Wang Duoyu no longer has much interest in the Fields Medal; otherwise, he wouldn't be so secretive about it.

If a paper proving the strong solution of the Navier-Stokes equations were published, it would be an absolutely groundbreaking event.

At that time, not only will the mathematics community be shocked and full of admiration, but the entire world will be shocked by it.

However, Wang Duoyu would never publish any proof paper on the strong solution of the Navier-Stokes equations, nor would he even discuss it.

"Yes, Bocherz is the first author, and his teacher Wang Duoyu is the second author."

Let Burghane, who was eating a lemon, said with a slightly sour tone:

"According to Bocherz, his teacher did help him a lot, but Professor Wang told me that he didn't help much and asked me to remove his name as the second author so that the paper would only have Bocherz's name on it."

Given Wang Duoyu's status in the mathematics community, he has absolutely no need for the title of second author.

He even seemed a little disgusted.

After all, it took Bocherz seven years of work to prove this paper.

If Wang Duoyu's name appears on this paper, wouldn't that be a slap in the face, implying that his ability to educate students is actually just so-so?

Can't afford to lose that person.

Yau Shing-Tung, Smail, Charles Feifman, and others opened their mouths, but for a long time they didn't know what to say.

Some people didn't help much, but they wanted to claim the title of third or fourth author. Wang Duoyu guided Bocherz so much, but he disliked the second author so much that he didn't want it?

It's really a drought, a drought, and a flood.

"Then let's begin the group review process."

Daniel Gray began, "We're going to have a lot of work ahead of us."

Just then, Robert Langlands suddenly spoke up with a laugh:
"A golden age for the mathematics world is coming!"

Upon hearing this, everyone nodded in agreement.

Although Wang Duoyu stole the show at the past two International Congresses of Mathematicians, other top mathematicians also appeared.

Even today, Wang Duoyu still maintains a very strong scientific research capability.

There are many other top mathematicians in the global mathematics community, and Harbin, as a new mathematics center, has also cultivated many top talents.

Yorkz and Bocherz are both students of Wang Duoyu, and they have also been trained. There are other students such as Yang Nianzhen, Rong Guangxia, and Gao Huajian, so there are successors.

Most importantly, the Langlands Program has been developed to its current state, and true unification is not far away.

In addition, Wang Duoyu is only thirty-two years old this year, and he still has at least ten years to work hard, and he will most likely bring more shocks to the mathematics community.

Even if he may not be able to discover or create a new discipline of mathematics, his current achievements are comparable to those of the top mathematicians in history.

"In fact, to be precise, ten years ago was already a golden age for the mathematics community."

Joseph Cohen spoke up at this moment.

This statement was unanimously agreed upon; the golden age is not just coming, it has already arrived.

After chatting for a while, the group quickly got back to their work.

Their next task was still very heavy, as it concerned the thesis of Wang Duoyu and his apprentice, which they certainly couldn't trouble Wang Duoyu with.

Because he wanted to avoid suspicion.

Who made Bocherz a student of Wang Duoyu?

If it's something else, then it's fine, just let Wang Duoyu review it.

However, the proof paper for the Moonlight Conjecture is of paramount importance, and no one wants to be criticized behind their backs, so it is essential that they personally review it. Moreover, it must be cross-reviewed to ensure that the paper is genuinely qualified and not obtained through back channels.

In late October, the professors of the Mathematics Department at Harbin Institute of Technology were exceptionally busy.

Yau Shing-Tung, the head of the mathematics department, always had his courses taught by his students.

The students seemed to have noticed something, but they were already used to it.

The faculty of the Department of Mathematics at Harbin Institute of Technology is undoubtedly the best among university mathematics departments worldwide, bar none.

Even though Wang Duoyu, the "Mathematics Emperor," doesn't attend classes, the Mathematics Department at Harbin Institute of Technology still offers monthly math sharing sessions.

Top students, as long as they pass the assessment, are qualified to attend the sharing session.

And this sharing session is almost always given by Wang Duoyu.

Such courses are too advanced for the average student.

Besides Wang Duoyu, other Fields Medal winners include Shing-Tung Yau, David Bryant Manford, Joseph Cohen, Gerd Faltings, and William Thurston.

Further down the list are top mathematics professors such as Andrew Wiles, as well as Yang Nianzhen, Rong Guangxia, Maxim, Goss, McMallan, and others.

In addition, there is a large number of other second-tier mathematics associate professors, lecturers, and other faculty members.

From the most basic to the most advanced, everything is available.

Therefore, even though the mathematics department has six majors, from freshman to doctoral students, with a student body of nearly a thousand, there will be no shortage of teachers.

October passed quietly, and November began. On the night of the 2nd, Harbin was blanketed in heavy snow all night long.

On the morning of the 3rd, when Wang Duoyu got up, he opened the door and saw the situation outside. He couldn't go out either, because the heavy snow blocked his way.

With the snow accumulation reaching nearly a meter thick, one can imagine just how heavy the snowfall was last night.

"I guess the eldest doesn't need to go to school today. With such heavy snow, the school is probably closed."

With such thick snow, it was naturally very difficult for many students to get to school.

I think it's unlikely!

Liu Xiaoli's voice came from behind him.

"The primary school already has indoor corridors, so the roads outside must already be being cleaned by sanitation workers."

"How do you know so much about this?"

Wang Duoyu chuckled and didn't argue with her about it.

It would be best to be able to go to school, but it's okay if you can't.

After breakfast, Wang Duoyu went to the study villa next door to continue his work.

He ultimately chose the Hodge conjecture instead of the less difficult Cramer's female or perfect number conjecture.

In fact, he initially wanted to choose the perfect cuboid hypothesis.

Because this is a problem about geometry, it can be expressed as: Does there exist a cuboid whose length, width, height, and all face diagonals and body diagonals are integers?
Although this problem seems simple and intuitive, its proof is extremely difficult.

Several doctoral students at the Harbin Institute of Advanced Studies have also researched this issue.

At that time, after the Dawning supercomputer was developed, they tried to use computer search algorithms to verify it.

Whether searching for examples or proving its non-existence, no breakthrough results have been achieved.

Wang Duoyu was quite interested at the time, and after thinking about it for two days, he created algebraic methods and geometric construction methods, but he quickly gave up on them.

Proving that a perfect cuboid truly exists is an extremely challenging mathematical problem. While the difficulty level may not seem particularly high, a deeper understanding reveals just how difficult it truly is.

This problem involves multiple interdisciplinary areas of mathematics, such as algebraic geometry, number theory, and combinatorics.

In any case, Wang Duoyu couldn't think of a suitable mathematical method or tool to prove its existence.

Unlike his obsession with other problems such as the Riemann Hypothesis, he believes that perhaps once quantum computers emerge in the future, this problem will be inescapable.

In comparison, Hodge guessed that it might be simpler for him.

However, to others, Hodge's conjecture is as incomprehensible as the language of God.

Since the Hodge conjecture was proposed, many mathematicians around the world have tried to prove it or find counterexamples, but without exception, they have all failed.

The Hodge conjecture is based on the most abstract mathematical concept: every harmonic differential form (of a certain type) on a nonsingular complex projective algebraic variety is a rational combination of the cohomology classes of the algebraic closed chain.

This conjecture fully illustrates one point: the nature of modern mathematics makes much of it almost impossible for ordinary people to understand.

To understand the Hodge Conjecture, we need to understand its past, which begins with the 17th-century French philosopher Descartes.

Descartes algebraized geometry by placing geometric figures in the Cartesian coordinate system and then establishing their mathematical equations.

Geometry studied using algebra is usually called algebraic geometry, also known as Cartesian geometry.

By the nineteenth century, mathematicians were no longer simply using algebra as a tool to study geometric objects.

Instead, it starts with algebraic equations and defines the solutions to these equations as 'geometric' objects.

However, most equations do not correspond to the geometric objects we are familiar with, so it is not reasonable to directly call them 'geometric objects'.

Therefore, the objects generated from algebraic equations are called 'algebraic varieties' by mathematicians.

When defining an algebraic variety, mathematicians do not consider just a single algebraic equation, but a system of equations (a finite number).

Therefore, algebraic varieties are a generalization of geometric objects.

As algebraic geometry continues to develop, mathematicians encounter a wide variety of algebraic varieties in their research, with diverse shapes and properties.

To better understand and study these algebraic varieties, mathematicians have attempted to break them down into simple geometric building blocks.

Just like building blocks, these simple blocks are combined into complex shapes so that the properties of algebraic varieties can be studied from the local to the global perspective.

However, some problems have also arisen during the promotion process.

The geometric starting point of the program becomes blurred, and in a sense, some components with no geometric interpretation must be added.

Therefore, mathematicians face a dilemma in their research: they find it difficult to determine which simple geometric objects these complex shapes are composed of, and what the procedure and sequence of the combination are.

To address this dilemma, the Hodge conjecture was born, which aims to resolve the problem of the ambiguity of the geometric starting point in the study of algebraic varieties.

Now, let's revisit a technical term from the Hodge conjecture: a non-singular complex projective algebraic variety.

Simply put, it is a smooth, multidimensional 'surface' that is generated by the solution of an algebraic equation.

'Non-singular' means that this algebraic variety is smooth and has no singularities, just like a perfect sphere with no sharp points or depressions on its surface.

The word 'complex' indicates that it is studied over the complex number field, which is different from the real number field that everyone is familiar with. The introduction of complex numbers makes the scope of research broader and deeper.

'Projection' involves the concept of projective geometry, which is based on ordinary geometry and introduces concepts such as the point at infinity to conduct a more general study of geometric objects.

The Hodge conjecture makes an assertion regarding the harmonic differential form on a surface: a harmonic differential form is a solution to a very important partial differential equation, which arises both from physics and from the study of complex functions.

At Harbin Institute of Technology's Department of Mathematics, freshmen are required to start learning calculus in their first semester, and calculus is usually conducted on a two-dimensional plane.

In other words, with just a little more effort, it can be extended to other curved surfaces, such as spheres.

With a little more effort, we can extend calculus to a wide variety of more general clusters.

Therefore, the Hodge conjecture involves calculus generalized to a nonsingular projective algebraic variety.

Wang Duoyu is naturally able to fully understand the Hodge conjecture, and has previously published two related papers.

Since Hodge announced this conjecture in his lecture at the International Congress of Mathematicians in Cambridge, England in 1950, there have been 62 research papers on the Hodge conjecture to date.

Two of these papers were published by Wang Duoyu, and they only covered one aspect of the conjecture, namely the Hodge conjecture on Abel clusters.

Let X be a projective algebraic manifold, and p be a positive integer.

Inside the office, Wang Duoyu slowly calculated and deduced on his manuscript paper.

Unlike proving the Riemann Hypothesis, which is a conjecture specifically for prime numbers and studies the distribution of prime numbers.

In essence, the Hodge conjecture is the algorithm for topological phase transitions.

Furthermore, since the Hodge conjecture is known as a collection of the most abstract mathematical concepts, Wang Duoyu must have needed to do more thinking during the proof process.

His mind must be very clear in order not to be confused by superficial abstract concepts.

In layman's terms, his process of proving the Hodge conjecture was like building a house with blocks.

Each block represents a simple geometric shape, such as a cube, cuboid, or triangular prism.

Proving the Hodge conjecture requires building a magnificent castle, which is equivalent to a complex geometric figure.

Wang Duoyu needs to create enough blocks of different shapes and combine them according to certain rules in order to build the castle.

"Dad, dinner's ready!"

Before we knew it, it was noon. The door was pushed open, and the children's shouts could be heard.

"Okay, I understand. You guys go back first, I'll be right there." Wang Duoyu looked up and replied with a smile.

When I looked down at the manuscript, my gaze became much clearer.

"Hopefully, we can prove the Hodge conjecture within a year!"

If it's a year, then Wang Duoyu might not have much time to pay attention to Want Want Group next year.

Even in the last year or two, he hasn't paid as much attention to companies affiliated with Harbin Institute of Technology.

We are about to enter the 1990s, and many major events will happen, such as the famous oil crisis and the Gulf War.

A wall on the European side collapsed, and polar bears in the Arctic Ocean were dismembered and torn apart.

There was also the bursting of Japan's bubble economy, and so on.

This is a scene of a great era about to begin.

Wang Duoyu is not sitting back and doing nothing, but he definitely hopes to achieve this.

Before we knew it, it was mid-November. In the mathematics department's teaching building, a mathematics sharing session was underway, with Wang Duoyu as the speaker.

This month's math sharing session was originally scheduled for the beginning of the month, but it has been postponed to the middle of the month.

Because Shing-Tung Yau and his colleagues are very busy and can't find the time.

Given this, Wang Duoyu was naturally happy to postpone the time, since he was busy proving Hodge's conjecture.

The number of research projects he has on hand will not decrease; on the contrary, it will only increase.

Of course, he didn't want to be completely idle either; while he was young, he should do more.

The tiered classroom was packed.

Wang Duoyu stood in front of the blackboard, writing on the board and explaining as he went.

He's talking about number theory problems, and he's been talking for over two hours.

It took quite a while before it finally ended.

Yau Shing-Tung didn't let the audience continue asking questions. Instead, he stood up and ended his sharing session.

"If you have any other questions, please write them down and ask them privately after class. We have other things to discuss next, so let's end today's sharing here."

The department head spoke up, and although everyone had no choice but to retreat.

Twenty minutes later, the office of the head of the mathematics department, which is also Shing-Tung Yau's office, was filled with people.

Wang Duoyu had just returned from the bathroom. He had been holding his pee for at least two hours, which was not a good habit, but his brain was filled with mathematical formulas and he didn't have time to think about anything else.

After sitting down, he looked at Shing-Tung Yau and the others, and said:

"What issue do you want to discuss? Why didn't you discuss it earlier, and why do you have to discuss it here?"

"We'd like to discuss your paper with you. We've listed the following points of doubt and difficulty."

Smail's sudden words made Wang Duoyu's heart stop for a few seconds.

He breathed a sigh of relief when he received the paper and saw the problems that Smail and his team had compiled after reviewing it over the past month.

Good grief, he thought they had found flaws in his paper.

This is simply impossible!
He would check every paper repeatedly before putting it into the alloy box, so there was no way anything could go wrong.

He is only thirty-two years old, not fifty-two or ninety-two.

Mathematics is a very rigorous discipline, and the mathematical tools it creates must have undergone rigorous and repeated scrutiny. How could there be any accidents?

"These problems are all very simple. Come on, let me show you the mathematical model, and you'll understand."

Immediately, Wang Duoyu turned on his computer and used the computer in Qiu Chengtong's office to remotely access his own office computer.

This kind of remote control is not as simple as just entering a website address and then entering a username and password.

Because this URL was originally intended for one-time use, it will be blocked after he/she uses it.

In addition, a verification code is required during the login process.

The verification codes are randomly generated and cannot be stolen.

Besides, everyone in the office is trustworthy, and Wang Duoyu doesn't have any secrets hidden from them on his computer.

The connection was to his mathematical computer, which was an independent system, completely different from other systems that needed to be kept secret.

After remotely accessing his own computer, he quickly opened the document containing the proof of the functor conjecture.

He opened a presentation document, a piece of software he had specifically programmed for this problem, just to demonstrate the mathematical model in a more intuitive way.

During his presentation, Yau Shing-Tung and the others all gaped in astonishment.

It can be said that the questions they raised can finally be made more concrete and easier for everyone to understand.

Such a simple mathematical model demonstration is easy for even ordinary people to understand.

"There are a few other issues that can't be demonstrated with a model, but that's okay, I'll explain them to you right away."

Seeing Wang Duoyu confidently explaining to everyone, Daniel Gray and the others listened attentively.

It seems that there really is no problem that can stump him.

Half an hour later, Wang Duoyu finally finished answering the question.

"Does anyone have any other questions?"

Today's meeting is more of a math report session than an exchange.

However, the audience consisted of only about twenty top mathematicians, including Shing-Tung Yau, John Milnor, and Jean-Baptiste Günther, and nothing more.

Even Yang Nianzhen and the others didn't come.

"Professor Wang, have you completely proven the functor conjecture?"

Suddenly, John Milnor spoke up and asked.

As soon as he said this, everyone's eyes were fixed on Wang Duoyu.

Actually, the answer to this question was already clear to everyone a few months ago when Wang Duoyu uploaded his fourth and fifth papers.

When Wang Duoyu returned to Harbin Institute of Technology at the end of August, he told everyone that he had not yet fully proven it when asked.

After all, there were a total of seven papers, and he was still two papers short at the time.

Everyone present knew that John Milnor had been researching the functor conjecture ever since he arrived in Ice City.

But now it seems that the mathematical problem he has been studying for many years is about to be proven by Wang Duoyu.

His feelings at this moment must have been very complicated.

I just don't know if he hopes Wang Duoyu has already proven himself completely, or if he hasn't proven himself completely and is just giving him a glimmer of hope?

"One more thing, we are now in the final stage of topping out and finishing."

Upon hearing Wang Duoyu's words, John Milnor's eyes dimmed for a moment, then brightened again, and he pressed on, asking:
"How much longer do you need to complete it?"

"Unsure!" Wang Duoyu shook his head, not giving the other party any accurate information.

"I will let everyone know as soon as it is completed."

Everyone nodded, but John Milnor remained silent. Suddenly, Charles Feifman asked a question:
"Now that the functor hypothesis is almost proven, Professor Wang, would you consider holding a presentation?"

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