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Chapter 146, the precursor to the rise of industrial Cthulhu, has the Poincare conjecture been prove

Chapter 146, the precursor to the rise of industrial Cthulhu, has the Poincare conjecture been proven?
Bang bang bang!
On May 27, 1979, at the 626 Factory in the north, the sound of bullets was heard in the empty gun testing range.

"How was it? Did you have fun?"

Seeing that Wang Duoyu kept playing with the gun after getting it, Lin Dehong, who was standing next to him, had an aunt-like smile on his face.

After waiting for Wang Duoyu for nearly half a year, I finally waited for him.

"Cool!"

Wang Duoyu also smiled happily and loudly released the pressure in his heart.

The reason he said he felt great was not because he had just fired thirty bullets in a row, but because he had basically completed the main derivation and proof of the paper on the Poincare conjecture in three-dimensional space.

Simply put, he has derived a new mathematical tool. Although it still uses Ricci flow as a theoretical tool, it can successfully control those uncontrollable singularities.

Previously, when he was studying quantum integrable systems, he had conducted in-depth research on the Skjæranin algebra in three-dimensional space and the homological properties of the Skjæranin algebra.

It's just that at that time his paper was just pure "water".

Even when he was studying the Langlands concept, he did the same thing, purely for the sake of "water" thesis and to exercise his brain at the same time.

However, after arriving in Beijing by plane on April 12, he communicated with Shing-Tung Yau, Smale, Robert Langlands and others, which aroused his great interest in the Poincare conjecture in three-dimensional space. At the same time, he also believed that it would be relatively easier to communicate with such top mathematicians and work together to promote the solution of this problem.

However, I never expected it to be so difficult.

Before, he was very arrogant and did not want to use the Ricci flow to change Hamilton's geometric method to verify the Poincare conjecture in three-dimensional space, because he knew that this method would definitely work.

It's just that he didn't want to, because he believed that he could definitely accomplish it.

From April to May 3rd, Qiu Chengtong and others had already left the capital. After that, he pondered over the problem for several days in the capital, but still could not find a solution.

At one point, he even wanted to give up and chose to use a geometric method to prove the Poincare conjecture in three-dimensional space.

But just as he returned to Harbin Institute of Technology and was about to take a day off before heading to the army, inspiration suddenly struck him.

So he stayed in Harbin Institute of Technology for many days without even leaving the gate, and his meals were delivered to him by Lou Jianguo every day.

Long before Wang Duoyu sought to verify the Poincaré conjecture in four-dimensional space, many people had used topological methods and tools to study the Poincaré conjecture, but there had been no progress at all.

Afterwards, Wang Duoyu verified the Poincare conjecture in four-dimensional space. Since last year, when Shing-Tung Yau came to Beijing and discussed with Wang Duoyu how to verify the Poincare conjecture in three-dimensional space, the two also proposed many methods.

What followed was the research and discussion at the academic conference in April this year.

Not only did Shing-Tung Yau propose a method for Ricci flow, but Duoyu Wang also proposed using geometric structure tools to cut three-dimensional manifolds. In this way, submanifolds with one of eight standard geometric structures can be divided, and these eight geometric structures are also complete Riemannian metrics.

However, this requires proving that the Poincare conjecture is correct in the case of such three-dimensional manifolds, which also requires a long way to go.

Yau proposed the Ricci flow method, but did not prove the positive definiteness of the Ricci flow for three-dimensional Ricci tensors and curvature operators in other dimensions, let alone the subsequent observations on the values ​​of three-dimensional tensors and four-dimensional curvature. There was no way to discuss how to control the singularities in the space transformation process.

So whether it is Shing-Tung Yau, Duoyu Wang, or Smale, Robert Langlands and others, they have all tried to advance in these directions.

Unfortunately, from April 13th to May 3rd when they left the capital, they did not make much progress.

All we can say is that they all exchanged their opinions and roughly determined several directions for proving the Poincare conjecture in three-dimensional space.

The first is to use Ricci flow to change the geometry of Hamiltonian manifolds, the second is to use geometric structure tools to cut three-dimensional manifolds, and the third is innovative tools such as topology.

From the current perspective, innovative tools in topology are hundreds of billions of times more difficult than the Eighteen Levels of Hell, and are not considered by Wang Duoyu and others as options.

However, even with the first two methods, it is still extremely difficult to make further progress or achieve any results.

Now Wang Duoyu uses the Ricci flow method to first prove the positive definiteness of the Ricci flow for three-dimensional tensors and other dimensional curvature operators. Then he completed an extremely important basic work: for non-compact complete Ricci flow, compactness is derived through local high-order derivatives.

On the other hand, when his inspiration burst out, he struck while the iron was hot and spent a day constructing the short-time bound of Ricci flow on non-compact complete Riemann manifolds under the assumption that the curvature was bounded.

This greatly enhances the functionality of the Ricci flow.

After completing the basic theoretical work on Ricci flow, Wang Duoyu made even greater strides in proving the Poincare conjecture in three-dimensional space, and even sounded the clarion call for a charge.

As the saying goes, strike while the iron is hot. Even though he was exhausted at the time, he was shocked when Lou Jianguo came to deliver food, and even called Wu Congyin and others over.

But it was useless, because Wang Duoyu had already burst into creativity and couldn't stop.

What's more, in order to control the irregular singularity, Wang Duoyu has already thought of a way, so he must press on while he can.

The result was that Zhu Ling was called to Harbin Institute of Technology.

When Zhu Ling received a call from Wu Congqin in Beijing and learned about Wang Duoyu's situation, she was so scared that she burst into tears and hurriedly took leave to come to Harbin Institute of Technology.

Women would only affect Wang Duoyu's speed in answering questions, but Zhu Ling was his wife, so he had to go to bed obediently that night and was not even allowed to pay his taxes.

After paying his dues, Wang Duoyu finally slept soundly for twelve hours.

This was also the most comfortable and longest sleep he had ever had since he traveled through time, which made Zhu Ling very distressed.

Fortunately, Zhu Ling is a doctor, or rather, she studied medicine, and knows how to take good care of Wang Duoyu.

Under such circumstances, Wang Duoyu's condition is getting better and better, because with the nourishment of love, Zhu Ling takes care of him in every way and stays by his side all the time. Not only does it not affect him, but it makes his brain work faster.

The current problem is to control the irregular singularity problem. Once it is solved, the Poincare conjecture in three-dimensional space will be over.

To be honest, Wang Duoyu is not an expert in dealing with "singularities", but his research on geometry, topology and other aspects, as well as his previous experience in compiling aerospace textbooks, has given him many ideas.

He proposed a new idea for dealing with manifold singularities, which is to let time go back to the past at the moment the manifold collapses.

Wang Duoyu introduced a new 'L function', which allows time to travel freely between the past and the future. In his calculations, even if time goes back to the past, it will not have much impact.

In this way, the universe can be divided into regular shapes before it collapses.

In this process, the Ricci flow entropy formula not only has extremely high value in the field of mathematics, but also has practical applications in the field of physics.

At this point, Wang Duoyu has completely verified the Poincaré conjecture in three-dimensional space. The only thing left is the paper work on the capping proof of the Poincaré conjecture.

Regarding this cap, Wang Duoyu already has a clue and has completely recorded his thoughts.

After that, he did not press on and finish writing the entire paper because his body was exhausted and he needed to rest for a while before he could complete the rest of the paper work.

In fact, the most difficult part of the paper has been completed. All that is left is to reorganize the manuscript, and then the entire paper can be written.

Zhu Ling didn't let him continue working, and Wang Duoyu himself thought it was time to get some fresh air.

So he walked out of the room he had been away from for nearly twenty days, came to the army, and asked Lin Dehong for help. Only then did he spend two days shooting continuously.

During these two days, I didn't think about anything about the thesis at all. I was like an emotionless machine, firing non-stop.

Lin Dehong nodded when he heard this:

"Just have fun. You've been having fun for so many days. Isn't it time to get back to work?"

"Boss, tell me what you want to do? I promise I won't hesitate!"

Wang Duoyu was in a good mood and immediately said with a smile.

He didn't try to guess what the other party wanted him to do, but after thinking about it, he realized that it was actually related to military equipment.

As expected, Lin Dehong asked Wang Duoyu to help improve a sniper rifle.

"Hmm? Boss, didn't I already design a sniper rifle? I remember you said it had been submitted and reviewed by the higher-ups."

Seeing Wang Duoyu's confusion, Lin Dehong smiled bitterly.

The cause of the incident was very simple. The sniper rifle designed by Wang Duoyu before was simply not affordable for the army and had no significance for large-scale popularization.

On the other hand, this sniper rifle also needs to be equipped with a high-end scope, which cannot be mass-produced either. The reason for the limitation is still the lack of talent.

Sniper rifles are not very useful for conventional troops, and are only of greater use in special forces, reconnaissance units, etc.

However, due to the production costs, after comprehensive consideration, the higher-ups reluctantly rejected the proposal.

"Has it never been used in actual combat? It should be very useful. The leaders can't have failed to see it." Wang Duoyu frowned when he heard this.

But after listening to Lin Dehong's explanation, Wang Duoyu fell silent.

After mid-February this year, something happened in the south. Wang Duoyu was very aware of this matter, and he couldn't even see Lin Dehong at that time.

Because Lin Dehong was also very busy, he had to take care of logistics matters, mainly because the 626 Factory and other units needed to hurry up to produce the improved Type 78 automatic rifle for use in the war in the south.

In addition to the improved Type 78 automatic rifle designed by Wang Duoyu, 100 sniper rifles were also produced and equipped with high-end scopes, and then sent to the battlefield.

The result is obvious. Although this type of firearm is good, it is not very effective in the tropical rainforest area in the south.

Secondly, the cost is high, and the sniper rifle, bullets, etc. weigh more than six kilograms, which has a great impact on the rapid mobility of soldiers.

The tropical rainforest is not that open, and the monkeys in the south like to play with tunnels and the like, so no matter how good the sniper rifle is, it is of little use.

After actual combat, it was the improved Type 78 automatic rifle that became the most dazzling weapon.

The improved Type 78 automatic rifle has a thirty-round magazine and does not affect the soldier's mobility even if he carries four full magazines. It is very convenient.

Moreover, the accuracy and effective shooting range of this automatic rifle are very perfect, which has led to it being unanimously praised by soldiers, troop leaders, etc., and the praise is endless.

From mid-February to the end of May, which is a little over three months, the troops fighting in the south have never stopped praising it.

In comparison, Lin Dehong is more eager for Wang Duoyu to redesign a sniper rifle.

After a moment of silence, Wang Duoyu immediately shook his head and said:
"Boss, if you ask me to design a better sniper rifle, I have no problem with that. But you want me to reduce the cost without sacrificing the effective range, accuracy, etc., how is that possible?"

"I've previously designed barrels made of chrome-molybdenum high-alloy steel, 416 stainless steel, and carbon fiber. If you ask me to design a gun with a lower cost, I can only cut corners on the barrel material. This will inevitably reduce accuracy and effective range."

“So, there’s really nothing I can do!”

Lin Dehong immediately said:

"I know this is asking too much, but..."

"Boss, you also know that asking for something is difficult. Why did you make such a request? You don't think I would really agree, do you? I'm not that free!"

Seeing Wang Duoyu interrupting him in a bad mood and retorting angrily, Lin Dehong was unable to continue.

Ugh!
This approach was not feasible, so Lin Dehong had no choice but to say:
"How about this, Duoyu, you help me design another compact pistol?"

When Wang Duoyu heard this, he looked at Lin Dehong suspiciously and said:

"Boss, you didn't think I had nothing to do and wanted to chat with me, did you? I won't talk about the sniper rifle, but does the pistol need to be redesigned?"

He has a Type 54 pistol in his hand, and the army currently has two other pistols, one is the Type 64 and the other is the Type 77.

Whether it is the Type 64 or the Type 77, these two pistols have not been mass-produced and equipped, but are merely used as strategic technical reserves.

In other words, they have been designed and finalized, but have been shelved and not produced in large quantities.

Since there are already two types of pistols, Lin Dehong still asked Wang Duoyu to continue designing pistols. Isn't this just playing a trick on him?

In the short term, these two pistols are actually enough for both the army and the public security, and there is no need for Wang Duoyu to design another pistol.

What's more, once Wang Duoyu is asked to design it, there is a high probability that it will be shelved.

In this case, he might as well not do anything.

"I'm not trying to amuse you, but..."

Lin Dehong hurried to explain.

There are requirements above: one generation of demonstration, one generation of testing, and one generation of research and development, and it is imperative to ensure the advancement of scientific research.
After hearing Lao Lin’s explanation, Wang Duoyu was speechless.

The leader is really good at playing games. Has he already started using such strategic deception tactics?
And do we have such strength in our country at present?
A precursor to the rise of industrial Cthulhu?

In any case, Wang Duoyu agreed after a period of silence.

According to Lin Dehong's request, Wang Duoyu directly took out the design drawings and detailed data of the Type 84 pistol from the original time and space.

The Type 84 pistol is a pocket-sized pistol, also known as the Type 84 micro pistol. The entire gun is only 121 mm long and weighs 380 grams.

Since the Type 84's gun body is very small, only the size of an adult's palm, it is also called a "palm-held cannon" by later generations.

This pistol also fires 7.62*17mm bullets, but the magazine capacity is only six rounds.

When Hao Guoliang saw the design drawings, he couldn't help but question: Is this thing really lethal?
Because it is indeed too small, a pistol that is too compact is considered completely "unnecessary" by gun experts like Hao Guoliang.

"Director Hao, we won't know whether this pistol is lethal until we test it. It's too early to question it now."

Wang Duoyu smiled and had no intention of arguing with the other party.

Lin Dehong certainly supported Wang Duoyu's opinion. It was very difficult for the latter to design this firearm. If he rejected it directly without testing it, why did he let Wang Duoyu come to the army?
So, Ge Jianshe and others were called out and participated in the manufacturing and production of the Type 84 pistol.

The 626 Factory had everything it needed and its technical team was very strong. In just one day, it had produced ten Type 84 pistols.

These ten pistols are used to test their service life, accuracy and other data. After being designed, they were taken to the shooting range and began testing.

Hao Guoliang had raised doubts, so Wang Duoyu smiled and let him take the test first.

The former did not hesitate, picked up the gun and started testing.

It must be said that this gun is really very small and exquisite. It weighs nothing in the hand and the recoil is almost negligible.

Because its effective range is only about thirty meters, the accuracy decreases after exceeding forty meters.

Although such a small firearm has little lethality and a short effective range, it has good concealment and there is nowhere to hide when shooting at close range.

Therefore, after just emptying the magazine of six bullets, Hao Guoliang couldn't help but exclaimed:

"What a gun!"

Lin Dehong, who was standing next to him, also emptied his magazine and praised:
"Duoyu, the gun you designed is amazing. I don't know what's going on in your brain. How could you design such an excellent gun in such a short time? I feel it's perfect and doesn't need to be redesigned or adjusted."

The so-called perfection is only relative to its purpose. The effective range of about 30 meters is enough. After all, with its size being only the size of an adult's palm, such a lethal range is enough.

You can't say that an officer uses a pistol like this to guard against snipers thousands of meters away, right?

That's unrealistic!
So with a six-round magazine and an effective range of thirty meters, coupled with excellent accuracy and minimal recoil, it is of course perfect.

After emptying the magazine, Wang Duoyu also smiled and nodded:
"Not bad, Director Hao, could you please produce one more of these pistols? I'd like to replace my Type 54 pistol, and this one is lighter."

Three hundred and eighty grams, of course it is very light.

Later generations of Apple 16 Pro weighed 194 grams, and two such phones weighed about the same as a Type 84 pistol.

Therefore, it is really light and compact, and it is definitely a must-have pistol for travel.

However, the Type 54 pistol weighs 850 grams, which is too heavy.

On weekdays, Wang Duoyu rarely has the opportunity to use a gun, but he needs to carry books with him often, so when he goes out, it would be too cumbersome to carry a Type 54 pistol and so many books.

"You should ask your superiors about this. It's not something I can approve just by saying so."

Hao Guoliang laughed heartily, while Lin Dehong shook his head helplessly. At this moment, Xin Hongzhang, secretary of the 626 Factory, appeared at the entrance to the shooting range. His arrival made the shooting range even more lively.

After Xin Hongzhang learned the specific data of this micro-pistol and tested it, he immediately gave Wang Duoyu a thumbs-up:

"Comrade Duoyu, you are truly a genius. You've only been in our factory for a short time, and you've already designed a firearm like this. If you weren't so gifted in math, I would have asked the higher-ups to let you stay at Factory 626. You're definitely capable of designing a better gun for our country."

As the secretary of the 626 Factory, Xin Hongzhang actually did not understand the development of mathematics in China. But since he had come into contact with Wang Duoyu, he would of course pay attention to related news unconsciously. Besides, he was a leader, and reading the People's Daily was part of his daily work.

People's Daily has already reported on Wang Duoyu's news, whether it was the academic lecture held at Peking University on April 18, or the subsequent report that Wang Duoyu and other mathematicians were working together to verify the Poincare conjecture in three-dimensional space. These are news events that have a significant impact on the international mathematics community.

The more Xin Hongzhang understood, the clearer it became that talents like Wang Duoyu could only be treated with respect.

"Secretary Xin, you're exaggerating."

Wang Duoyu said a few humble words, and Lin Dehong couldn't help rolling his eyes. "If you continue to be so humble, it will be hypocritical, do you understand?"

The following tests did not present any problems.

That evening, everyone gathered in a small private room in the 626 Factory cafeteria to have a meal and celebrate.

"Duoyu, I'll submit your micro-pistol design to you soon. If everything goes well, it might be put into mass production sooner."

Hearing Lin Dehong's words, Wang Duoyu nodded.

Soon, after finishing the business, Hao Guoliang raised his glass and drank while chatting.

"Come on, come on, drink, cheers!"

Everyone enjoyed the meal tonight.

The next day at noon, Wang Duoyu received a newly debugged pocket pistol. It has not been named yet, but according to his estimation, it is most likely a Type 79 pistol, right?

The original Type 54 pistol was returned to Lin Dehong.

In addition to the six bullets in the pistol, Wang Duoyu also asked for fifty bullets of this type of pistol, and another three hundred 7.62*39mm bullets.

These were the bullets for his improved Type 78 automatic rifle. He had used up only ten bullets when he went hunting during the Qingming Festival.

So this time he came to the 626 Factory to purchase goods and took away ten magazines of bullets.

The magazine of the Type 78 modified automatic rifle holds thirty rounds of bullets, so three hundred rounds would fill ten magazines.

As for how long the 300 rounds of bullets can last, no one knows.

When I returned to Harbin Institute of Technology, it was already June 1st.

In the teacher dormitory building of Harbin Institute of Technology, when Wang Duoyu returned home, he brought back a bouquet of flowers. These were the flowers he specially bought when he passed by a flower shop on the way back to Ice City.

The very bright red roses were beautifully arranged and then presented to Zhu Ling.

"Happy Children's Day!"

Zhu Ling did not return to Beijing, but stayed at Harbin Institute of Technology. She is about to graduate and is just waiting to return to her original position at the Institute for the Control of Drugs and Biological Products of the Ministry of Health or to work at the Institute of Health of the Chinese Academy of Medical Sciences.

But in the current situation, she is a little hesitant. Should she stay in the capital or come to Ice City?
She hasn't made a specific decision yet, but she hasn't returned to the capital recently.

"Wow, this flower is so beautiful!" Zhu Ling took the flower but ignored Wang Duoyu's congratulations. After a while, she finally realized what was happening and rolled her eyes at him.
"What did you just say? Happy Children's Day to me? I'm already so old, why am I still celebrating Children's Day?"

Wang Duoyu sat down with a smile and said seriously:

"Who said you can't celebrate Children's Day? You're only seven years and two hundred and forty months old now. Are you old? Not at all."

puff!

Zhu Ling burst out laughing immediately, she really couldn't help it.

"What do you mean by two hundred and forty months? Don't think I'm bad at math just because I studied medicine. Two hundred and forty months is twenty years old, haha."

Of course, according to Wang Duoyu, Zhu Ling is seven years and two hundred and forty months old. At first glance, everyone was attracted by the seven years old and ignored the following two hundred and forty months.

It seems that there is nothing wrong with her celebrating Children's Day.

But, there are too many zeros.

"Right, right, right. Lingling, you're really good at math. So, let me ask you a very simple math problem and see if you can answer it."

Hearing Wang Duoyu's words, Zhu Ling raised her head proudly and nodded her chin lightly:
"bring it on!"

She seemed to be calmly arranging the bouquet in front of her, but in fact, her ears were perked up, listening carefully to Wang Duoyu's questions.

"Question: What is the largest number that can be formed using the numbers 1, 2, and 3?"

This question seems simple, but it is actually not complicated at all.

Of course, an average person would not be able to answer this question, because it is not a multiple-choice question, but a fill-in-the-blank question.

Zhu Ling immediately rolled her eyes and said unhappily:

"Even an elementary school student can answer this question. It's just 321. Why are you testing me with that? Who are you looking down on?"

"Haha, dear classmate Zhu Ling, you are too confident. Pride is not desirable. I will give you one more chance. Please think about it carefully."

"No need to think about it, this is the answer, 321!"

"Are you sure? If not, how about unlocking a position tonight that you didn't agree to last time?"

Swish!
Almost instantly, Zhu Ling's pretty face turned red, and she glared at him with a non-threatening look:
"I'm certain of this answer. There can't be any other number larger than 321 in this question!"

Wang Duoyu smiled like the Big Bad Wolf, repeated the question, and reminded Zhu Ling to review it again.

But after thinking for a moment, she still insisted that this was the final answer.

"Are you sure you don't want to change it? If you lose, you'll have to do that pose."

Zhu Ling glared at him again, "Shut up! You're not allowed to say anything about postures anymore! Tell us the answer now!"

In fact, Wang Duoyu had reminded her several times, and Zhu Ling certainly reacted, but she couldn't think of any other answer, so she could only stick to her own answer.

If it was a multiple-choice question, she might have chosen the right answer, but this was a fill-in-the-blank question, so she definitely didn't get it right.

"How about this? I'll give you four answers and you can choose. How about that?"

"Okay, then tell me, what are the four answers?"

“A、123;B、321;C、2^(31);D、3^(21),那么你选择哪个答案?”

When Zhu Ling heard Wang Duoyu give four answers, she was stunned for a moment.

Then she asked Wang Duoyu to write it down on paper, and she needed to read it several times.

The concept of exponential power was involved, which made Zhu Ling, a college student who had not studied mathematics for a long time, a little confused.

What is the basic concept of exponential power?

"I choose C!"

Choosing C is actually a matter of luck. After all, she doesn't know which number is larger, 2^(31) or 3^(21). But there is no doubt that these two numbers are definitely much larger than the 321 she mentioned before.

Wang Duoyu heard this and said, "Are you sure?"

"Then I choose D!"

"You won't change it this time?"

"No, no, no, I'll choose C!"

"You're a poor student indeed. I doubt you've ever studied math before. Do you even need to think about this fill-in-the-blank question? After reading the question, shouldn't the answer be clear?"

Zhu Ling glared at him:
"Stop showing off in front of me and tell me the answer quickly. Is it C or D?"

"Didn't you insist on 321 earlier? Why don't you choose B now?"

"I never thought there was such a power. What's the answer? Can you tell me?"

If it is not announced, Zhu Ling will really be angry and embarrassed.

However, Wang Duoyu's words made her feel so ashamed and angry that she wanted to die with him.

"The answer is D. Prepare the position. Remember to hold it for a long time. Don't sway back and forth like you did when you were choosing the answer just now."

what! ! !
Mad!
To be honest, Zhu Ling really wanted to hit someone, but Wang Duoyu had already run into the room and closed the door, so she couldn't get in.

Half an hour later, Wang Duoyu walked out and took Zhu Ling to the cafeteria for dinner.

While eating in the cafeteria, under Zhu Ling's pressure, Wang Duoyu mentally calculated the specific numbers of 3^(21) and 2^(31), and she was finally convinced.

Because 2^(31) equals 2147483648, which is ten digits in total, and 3^(21) equals 10460353200, which is eleven digits in total, so there is no doubt that 3^(21) is larger.

Because of this question, Zhu Ling was forced to "humiliatingly" complete three more fill-in-the-blank questions with him before going to bed at night.

Although I was only completing three fill-in-the-blank questions, I changed my posture several times.

The next day, Secretary Li Rui, Principal Liu Deben, Director Wu Congxin and others came to visit Wang Duoyu. After confirming that he was in good spirits, they left.

Zhu Ling also left at the same time because she suddenly had a stomachache in the afternoon. After Wang Duoyu asked, he found out that her period had arrived early.

That’s not right. He didn’t come this early last month. How could he come so early?

In any case, Zhu Ling returned to Beijing on the morning of June 3rd and did not stay in Harbin Institute of Technology.

Wang Duoyu did not go anywhere and stayed at Harbin Institute of Technology to complete the thesis.

A week later, on June 10th, Wang Duoyu looked at his finished paper and felt a great sense of accomplishment.

The discussion started in November last year, the research continued on April 13 this year, and now it is June 10. It has been more than half a year, and we have finally solved it.

The Poincaré conjecture has been completely proven!
There are three papers in total, one of which is about proving the positive definiteness of Ricci flow for three-dimensional tensors and other dimensional curvature operators and constructing a short-time bound for Ricci flow on non-compact complete Riemannian manifolds.

The second paper deals with the L-function of manifold singularities, and the third is the capping paper of the Poincare conjecture.

After finishing the paper, Wang Duoyu copied it and then translated it into English. It took him an extra week to complete all this.

On June 20th, Wang Duoyu went out to send his paper to "Science China Mathematics" and "Mathematical Annals" in the United States for publication. As a result, he saw Wu Congyin as soon as he went out.

"Duoyu, are you out of quarantine? Where are you going?"

Wu Congqin was quite surprised when he saw Wang Duoyu.

Although he didn't know whether Wang Duoyu had proved the Poincare conjecture in three-dimensional space, he didn't ask any more questions.

Who made this difficult problem so terrifying?

Shing-Tung Yau, Smale and others have tried to solve this problem, but there is no way to do it.

Starting from May, it's time for everyone to hold their breath.

Last week, a piece of news came from abroad that Kunal, a mathematics doctoral student in India, claimed that he had proved the Poincare conjecture in three-dimensional space and had submitted the paper.

Wu Congxin did not tell Wang Duoyu about this news because he did not want to distract the latter.

Internationally, this matter has caused a lot of controversy.

Kunal, an Indian doctoral student, became an instant hit in the global mathematics community.

Even though he made a fool of himself at the Peking University academic conference in April and openly provoked Wang Duoyu, it is undeniable that he is still quite capable.

Of course, no one dared to say anything until Kunale's paper was verified.

Anyway, relevant people will verify whether Kunale's paper really proves the Poincare conjecture in three-dimensional space.

"I'll mail the letter."

"Send a letter?" Wu Congqin was stunned for a moment, and asked curiously what the letter was.

When Wu Congxin learned from Wang Duoyu that it was a paper on the proof of three-dimensional space, his eyes suddenly widened and his tone became much higher:
"What did you say? A paper proving the Poincare conjecture in three-dimensional space? You've already proved it?"

This is the Poincaré conjecture, which has troubled the global mathematical community for more than half a century. Mathematicians such as Whitehead, Bing, Haken, and Moise have tried one after another to prove this difficult problem, but all have failed.

After Smale proved the Poincare conjecture for five-dimensional space and above in the summer of 1961, it was not until last year, 1978, that Wang Duoyu proved the four-dimensional space.

You can imagine how difficult it is!
However, only two months had passed since the academic conference in April, and Wang Duoyu had actually proved the Poincare conjecture in three-dimensional space?
You know, during this period, he also got married. How did he do it?
"Have you really proved it?"

Wu Congqin was so excited that he was shaking all over, and he opened his mouth again to confirm.

Wang Duoyu smiled and nodded. "Yes, it's proven. I'll go mail the letter now. Director, do you want to go back to the office? Together?"

"No, no, no, don't mail the letter. I'll personally arrange for someone to deliver it to you so it doesn't get lost along the way."

Hearing this, Wang Duoyu's pupils dilated instantly. Such a ridiculous statement came from Director Wu's mouth?

He certainly wouldn't let Wu Congxin do this "special thing", but Old Wu asked someone to notify Principal Liu.

Not long after Wang Duoyu arrived at the post office outside the school, Liu Deben had already brought his men to kill him, and the leaders of the local post office in Bingcheng also appeared.

This was the first time Wang Duoyu met the leader of the post office, and the leader was frightened by Liu Deben's words.

"Comrade Wang, if you need to send a letter in the future, please notify your school's security department directly. We can then go to your security department to pick it up."

If a letter is lost along the way, no one can take responsibility for it.

Seeing that they were all too cautious, Wang Duoyu was speechless.

What's up with this?

It was just a small letter. He had been sending and receiving letters for such a long time and no letter had ever been lost.

The work of the Post Office is very worthy of recognition.

Of course, in the future, as reform and opening up gradually deepen, some locals who have relatives abroad may send letters to their relatives in China by stuffing envelopes with foreign currencies, such as US dollars, into their foreign relatives.

Then some post office workers would become greedy and hide the letters, leaving the money and burning the letters.

The 1980s was indeed a rather chaotic era, and these kinds of things definitely happened from time to time.

Wang Duoyu's letters were handled by a special person. The leader of the post office personally took action, and Liu Deben and others also gave many instructions, so this matter was handled with special care.

At the same time, the post office leader also called the post office branch in Beijing on the spot to explain the matter.

Because of Liu Deben and the others' disturbance, the capital was soon in an uproar.

(End of this chapter)

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