A few days later, Mr. Cheng knew that the China Vocational College of Science and Technology was going to hold an academic seminar on algebraic geometry. He ran over and asked Xu Shengzhou: "You are going to have a meeting, why don't you bring our school with you?"

Xu Shengzhou didn't understand at first: "Bring it with you. I said hello to Teacher Heng right away and he said he would definitely go when the time comes."

"It's not a question of who to invite, I'm saying that it can be co-sponsored by our two schools, so that we can share the expenses in terms of funding and publicity."

Only then did Xu Shengzhou understand what Mr. Cheng meant. He was worried that the reputation of China Vocational College of Science and Technology was not enough. He would not be able to invite many celebrities to the meeting. In the end, he would only entertain himself with a few shrimps, which would have lost the meaning of the meeting. If

The addition of Beijing Normal University will obviously raise the standards of the conference to a higher level, and it can also share some expenses for China Science and Technology Vocational College. He was very moved and quickly explained: "Originally, I also wanted to ask my alma mater to host this conference.

However, considering that this conference would have some undesirable expenses, if it was held jointly with a public school, it would inevitably lead to confusion and trouble, so this suggestion was not considered. However, when the organizing committee was established, I still wanted to

I would like to borrow your name, teacher, and ask you to serve as a consultant. Is it possible?"

Mr. Cheng smiled and said: "Of course you can, but my tiger skin is probably of little use in the world of algebraic geometry. Everyone knows that I am a layman. If it weren't for you as a student, I would probably have nothing to do with algebraic geometry in my life."

Xu Shengzhou said: "You are a banner in the field of mathematics. As long as you are willing to serve as a consultant, it shows that you value algebraic geometry and support this conference. I would also like to invite you to Jinling to attend the conference.

How about our school?"

Mr. Cheng nodded: "Okay, I'll go take a look when the time comes. Although with your talent, you should be engaged in research work in an academic institution and make more and greater contributions, but students from normal universities are engaged in education.

It is also our duty to promote the development of education. More graduates of our school have left their names in the history of education than in the history of science and technology, so I also support this!"

"Thank you, teacher, for your recognition!" Xu Shengzhou was truly grateful.

Mr. Cheng asked again: "How is your recent progress regarding the Hodge Conjecture?"

Xu Shengzhou looked at the download progress bar of the paper on the conjecture proof in the system. After this period of hard work, it has advanced to 5.1%, which can be regarded as the first step in the long march: "After reading the literature in the early stage, I have roughly understood

The context has been clarified. However, this conjecture itself is extremely difficult, the direction is relatively vague, and it involves many subject areas. Many areas need to be carefully explored. Now it is more optimistic that it will take at least two years!"<

/p>

"Two years? That's already very fast. Even if it's five, six, seven or eight years, it's still very fast!" Then Mr. Cheng's voice changed, "Just like Fermat's last theorem, which was proposed in 1637, then

This was during the Chongzhen period of the Ming Dynasty. After more than three hundred years and the efforts of countless generations of famous mathematicians, they successively expanded the application of infinite descent method and imaginary numbers, gave birth to Kummer's ideal number theory, and contributed to Model's conjecture, Gushan-

-The proof of Shimura's conjecture expanded the application of group theory, deepened the study of elliptic equations, found the growth point of differential geometry in number theory, and discovered the combination of the Kolyvagin-Fletcher method and Evashava's theory

Point... Based on these rich and abundant accumulations, it still took Wiles seven or eight years to finally prove it."

He paused for a few seconds, as if to let Xu Shengzhou digest it, and then continued: "There is also the Poincaré conjecture, which is tied with the Hodge conjecture as one of the seven Millennium Prize problems. It was proposed in 1904. Then

At that time, both Cixi and Guangxu were still very much alive. Through the successive efforts of famous mathematicians such as Whitehead, Haken, Papachalakopoulos, Smail, Thurston, and Friedman, including at least three

The outstanding contributions of the above Fields Medal winners. By around the 1990s, everyone knew that a complete solution to the Poincaré conjecture was just around the corner, and only the final step was left. Even so, it was only in 2002 and 2003.

, it was finally solved by Perelman! Do you understand what it means?"

Without waiting for Xu Shengzhou's answer, he directly gave his own answer: "Knowledge is accumulated bit by bit, and problems are also broken bit by bit. The Hodge conjecture was only proposed a few decades ago, although there were some early results.

, but the academic community still generally believes that there is no dawn of cracking. You are equivalent to taking a road that has never been explored before, and the difficulty can be imagined. Therefore, don’t be anxious, and don’t have too much pressure. Follow your own ideas.

If you go step by step, even if you don't meet expectations in the future, you will lay the foundation for those who come after you."

Xu Shengzhou said: "I understand. I will definitely not be impatient and do my job well."

Only then was Mr. Cheng satisfied: "One more thing is that Academician Qiu Xindong will return to China to stay for a while in a few days. I have made an appointment with him. I will take you to see him then. Academician Qiu is very knowledgeable.

He has a high status. His research work has profoundly revolutionized and greatly expanded the role of partial differential equations in differential geometry. His influence has spread across many fields of mathematics and physics such as topology, algebraic geometry, representation theory, general relativity, etc. He will help you study the Hodge conjecture.

It should also be of some enlightening significance, so you can prepare well."

Xu Shengzhou knew it in his heart, and was afraid that this meeting would be for the school entrance examination, so Mr. Cheng asked him to prepare well, perform well, and try to leave a good impression on Academician Qiu.

After the old man Cheng left, he realized that he could just make a phone call to hold meetings and meet with Academician Qiu. There was no need for him to come over and explain to him face to face. Then he asked about the progress of Hodge's conjecture and comforted himself not to worry.

Don't put too much pressure on me. I'm afraid there's something in your words, right? Could it be——?

He habitually took out his mobile phone, opened Bihu skillfully, and searched for "Hodge's conjecture". Sure enough, the first item was "What do you think of Xu Shengzhou, School of Mathematical Sciences, Beijing Normal University, claiming to have found the conditions for the establishment of the Hodge's conjecture?" The description of the question stated.

, I heard from my tutor that recently Xu Shengzhou said at the graduate thesis defense that he had found a clever proof of the conditions for the establishment of the Hodge conjecture, and it would take some time to sort it out. Is this credible? What do you think?<

/p>

Perhaps because the Hodge conjecture is more important and the question is more weighty, this question is obviously much more popular than the previous one. There are currently 256 answers. The key point is that Su Shanyue also @ himself on this question. Haha

, you are really a clever little ghost!

Click on the first upvoted answer, which is full of historical significance: "If I remember correctly, Fermat said this, Hardy said this, and Atiyah also said this."

It seems that he didn't say anything, but anyone familiar with the history of mathematics and gossip knows what he said.

Fermat’s story is easy to understand, that is, while proposing Fermat’s Last Theorem in the corner of the book, he also wrote this sentence: “I am convinced that I have discovered a wonderful proof, but it is a pity that there is too much blank space here.

It’s so small that I can’t write it down.” Then more than three hundred years later, Wiles spent two to three hundred pages of papers to give a rigorous proof.

Hardy was convinced of the Riemann Hypothesis. He often crossed the sea to Denmark to discuss problems with friends. Once when he was crossing the sea and encountered a storm, he was afraid that his life would be in danger, so he sent a postcard to his friend: "I have proved Riemann's hypothesis."

Man guessed." Then God didn't even give him a chance to leave his name in history, and just let him return home safely.

Atiyah happened a few years ago, and he also solved the Riemann Hypothesis. At only 90 years old, he used a short five-page paper to promote that he had proved the Riemann Hypothesis, in which the proof only had 15 lines. The result can be

Just imagine.

In addition, there are occasionally a few jokes, such as "When I was an undergraduate, a friend wrote his graduation thesis on how to cooperate between the state and local taxes. Before the thesis was finished, the state and local taxes merged. When I was a graduate student, a friend graduated

The paper discusses the direction of Sino-Japanese relations after Abe comes to power again. The paper has not been finished yet, and Abe is heartbroken. Well, I am now a postdoc, and a friend plans to rely on Hodge’s conjecture to make a living. Tell me someone

Want to end the Hodge conjecture? Why do you want to kill the hen that lays golden eggs! (Here is a joke)" The rest is basically cynicism:

"I happened to publish two articles on the 'Four Big', and I was totally blown away!"

"What do I think? Of course I watched it with my phone and a smile. By the way, do you want me to help contact the Fields Medal jury and book the next Fields Medal?"

"Thinking back thirty or forty years ago, people lined up in front of the Institute of Mathematics, Chinese Academy of Sciences every day, claiming to have proved Goldbach's conjecture. Now they all claim to have solved the Hodge conjecture. From this perspective, our country's public science

My (learning) level has improved a lot, I’m very pleased!”

……

Xu Shengzhou put down his mobile phone and finally understood why Mr. Cheng comforted him not to be anxious and not to be too stressed. It turned out that what happened that day was spread through various channels. But after reading it, he felt calm and had no disturbance in his heart.

Do the answers on Bihu make sense? What they said makes sense, but it’s a pity that they encountered an unreasonable system.

In short, don't worry, let the bullets fly for a while.

More than a week later, Mr. Cheng called Xu Shengzhou and asked him to go to the hotel downstairs from Mathematics tomorrow morning, tidy up, and go to the United States to meet Qiu Xindong together.

Xu Shengzhou was looking forward to this. He had read Qiu Xindong's autobiography and heard a lot of gossip about Qiu Xindong. He also knew that Qiu Xindong went to the United States specifically to fight against his teacher (Chen Zhinankai) and his student (Tian Zhiyanda).

I built a branch base, and also attracted ordinary people, borrowed the icm's method, held a conference of Chinese mathematicians, and selected my own awards. But I haven't seen it yet, and I'm really looking forward to it when I think about it!

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