I Just Want to Be a Quiet Top Student

Two days later, Shen Qi met Mary at work and learned that Schultz had a strong desire to remarry Mary.

Mary resolutely stated that even if she starved to death, even if she jumped from the mathematics building, she would not remarry Schultz.

"Then find a better man." Shen Qi advised a few words, and then started to work.

Shen Qi is very concerned about the news of this year's Chinese Mathematical Olympiad. The CMO national finals have just ended, and only one player got a perfect score.

The last optional question was posed by Shen Qi, and there was only one contestant who successfully proved the 3n planes, and that was the perfect score contestant.

"Hey, one session is not as good as one session. I will treat you to a big meal after returning to China." Shen Qi sent a WeChat message to Vice President Tan of the Chinese Mathematical Society, conceding the bet.

At the beginning of July, Director Lu Guozhen and Director Wu went to the United States and successfully joined forces with Shen Qi.

The three of them talked in secret for several days to discuss major issues.

In Shen Qi's office.

Shen Qi wrote some mathematical formulas on the blackboard and said: "The popular version of Hodge's conjecture I understand is that, suppose X is a projective algebraic manifold, and p is a positive integer. Then suppose H^2p (X, Q ) algH^2p(X, Q) is the algebraically closed subspace, that is, the Q vector space produced by the basic class of the algebraic subvariety with codimension p in X. It is proved that H^2p(X, Q ) alg=H^p, p(X)∩H^2p(X, Q), which proves Hodge’s conjecture.”

"Based on this description, it is very difficult to prove the conclusion it describes. We also pay close attention to the dynamics of the international mathematics community at home. Schultz's team is engaged in such a difficult task, and we have Reasons to believe that the Schultz team has made significant progress." Lu Guozhen did enough homework before going to the United States.

"Schultz's team should have done a good job, maybe one day they will release all the research results." Shen Qi felt that Schultz had something in his hands, otherwise Schultz would not dare to hang on like this, and broke into Princeton single-handedly. He asked his ex-wife to remarry him.

"Professor Shen, your big plan includes three small plans, that is, the algebraic geometry section, the mathematical analysis section, and the topology section that the three of us are respectively responsible for. Now all three small plans are here, so the specific idea of ​​your big plan is ?” Director Wu asked.

"My big plan is to create a new system with algebraic geometry as the skeleton, topology as muscles and internal organs, mathematical analysis as blood and body fluids, and Hodge's conjecture is a part of the system. This is a bit complicated, let me explain The core logic." Shen Qi erased the content on the blackboard and drew three boxes side by side.

Two English letters are written above each box, AG stands for algebraic geometry, TP stands for topology, and AN stands for mathematical analysis.

Shen Qi first filled in the AG box:

Σσv=m*n

η0: η1: ... ηn = ψ0 (ε): ψ1 (ε): ... ψn (ε)

f(z1z2, z2z0, z0z1) = z0^rz1^sz2^tg(z0, z1, z2)

...

Although Lu Guozhen and Director Wu's main areas of research are not algebraic geometry, the two seniors who have been in the field of mathematics for a lifetime have studied algebraic geometry, and they recognize most of the classic formulas in the AG box and their meanings.

"Bezou's theorem, Cassler's correspondence principle, Cremona transformation... Hey, Shen Qi, what's the last formula in the AG part?" Lu Guozhen asked.

The last formula is ζ'd+1=ζd+1+αd+2ζd+2+... αndn, Shen Qi said: "The application and promotion of the classic algebraic geometry theory before the AG part was done by two of my doctoral students Finished, oh, they have already graduated with Ph.D., one went to Shuimu University, and the other stayed in Princeton.

"The last formula was deduced by myself, that is, the special characteristics of d-dimensional irreducible algebraic manifolds. I call it 'S-type characteristics' for the time being. It is a small innovation. The specific derivation process of 'S-type characteristics' I won't go into details, it's OK if you both know this conclusion." Shen Qi introduced his thinking.

"So the core of the AG part is to combine classics with innovation to build a system skeleton." Lu Guozhen and Director Wu roughly understood the core logic of the AG part that Shen Qi personally focused on.

"Yes, my two doctoral students and I did pretty well." Shen Qi then filled in the content in the second box. The second box is TP, topology section.

Shen Qi has already reviewed the full text of the information on the topology section brought by Director Wu. He wrote eight expressions in the TP box: "Thank you very much for the hard work of Director Wu's team in the past year. You have done a good job. Geometry conjecture The derivation of the eight standard models of the system has been successfully completed. These are the muscles and internal organs, which provide the power and energy required by the system."

"The main reason is that Professor Shen's enlightenment has helped us a lot." Director Wu said modestly.

"Enlightenment is directional, and the specific work requires a lot of manpower to advance and complete. We can start the joint manuscript of the Hodge Conjecture project within a year. Every member of our 20-member team has worked hard You must know that Schulz's team has been working for three years, and the Department of Mathematics of the University of Bonn has used almost all its strength to help him. This project cannot be done with only two or three guns, at least within a year." Shen Qi said Director Wu and Lu Guozhen's team expressed their gratitude, and he filled in the third box.

The third box is AN. The mathematical analysis section in charge of Lu Guozhen has been going smoothly, and Shen Qi has basically not worried about it in the past year.

The research materials of Lu Guozhen's team have been handed over to Shen Qi, and the premise setting, derivation process, and final conclusion are very clear.

Shen Qi extracted the core part and filled it into the AN box: "Director Lu's research results can be summed up in one sentence, that is, the new mathematical analysis and processing of ordinary singularities of plane curves and ordinary singularities of curved lines in space. AN is blood, A constant supply of oxygen to our system."

Shen Qi continued to write two + signs, one = sign, and one question mark on the blackboard, AG+TP+AN=?

"You two, how should this system be named? According to international practice, we will temporarily name it the SLW system? Or WLS, LSW?" Shen Qi asked.

S is Shen, L is Lu, and W is Wu.

A total of 20 people from three research institutions in China and the United States participated in the Hodge Conjecture project. The three academic leaders are Shen Qi, Lu Guozhen, and Director Wu.

Of course, the name of the new theoretical system cannot be SLWYTP... put all the surnames of twenty people on it, no one has ever done this before.

It is an international practice to add the surnames of those who have contributed the most to the project, and these people are often academic leaders.

So everyone wants to be an academic leader, firstly because of their high academic and social status, and secondly because they have the opportunity to be famous in history.

Lu Guozhen and Director Wu said in unison: "Of course the S must be placed at the top."

Shen Qi cupped his hands and smiled: "Accept."

After it was over, Lu Guozhen discussed with Director Wu for a while, and it was fair and reasonable for the person who went to college earlier to have his surname second.

After the two exchanged information, they found that Lu Guozhen was a college student a year earlier than Director Wu, so the new theoretical system was tentatively named "Shen-Lu-Wu system", or SLW system for short.

Shen Qi erased the question marks on the blackboard, making AG+TP+AN=SLW.

and HC® SLW.

HC is the abbreviation of Hodge-Conjecture.

Shen Qi said: "The next thing we have to do is to sort out the details of SLW, and then prove that HC belongs to SLW."