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

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

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

Shen Qi is very concerned about the news of this year's China Olympiad Mathematics Competition, the CMO national finals have just ended, and only one player has scored a perfect score.

The last optional question was given by Shen Qi, and there was only one player who successfully proved that there were 3n planes, and that was the player with a perfect score.

"Hey, one session is not as good as one session, and I will invite you to have a big meal when I return home. Shen Qi > with Vice President Tan of the Chinese Mathematical Society

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

The three of them talked secretly for several days to discuss important matters.

Shen Qi's office.

Shen Qi wrote some mathematical formulas on the blackboard and said: "The popular version of Hodge's conjecture as I understand it is that X is a projective algebraic manifold and p is a positive integer. Then set H^2p(X,Q)alg? H^2p(X,Q) is the subspace of the closed chain on the algebra, that is, the Q vector space produced by the basic class of the algebraic subcluster with the remainder number p in X. H^2p(X,Q)alg=H^p,p(X)∩H^2p(X,Q) is proved, i.e., the Hodge conjecture is proved. ”

Based on this description, it is very difficult to prove the conclusion described. We are also very concerned about the dynamics of the international mathematical community at home, and Schultz's team is engaged in such a difficult task, and we have reason to believe that Schultz's team has made significant progress. "Lu Guozhen did her homework before going to the United States.

"Schultz's team should do a good job, and maybe one day they will throw out all the research results. Shen Qi felt that Schultz had dry goods in his hands, otherwise Schultz would not dare to hang like this, and broke into Princeton single-handedly, and forcefully demanded that his ex-wife remarry him.

"Professor Shen, your big plan consists of three small solutions, namely the algebraic geometry section, the mathematical analysis section, and the topology section that we are responsible for. Now the three small plans are all here, so what is the specific idea of your big plan?" asked Director Wu.

"My big plan is to create a new system with algebraic geometry as the skeleton, topology as muscles and internal organs, and mathematical analysis as blood and body fluids, and the Hodge conjecture is part of the system. It's a bit complicated, so I'll talk about the core logic. Shen Qi erased the contents of the blackboard and drew three boxes side by side.

Two letters are written above each box, AG for Algebraic Geometry, TP for Topology, and AN 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 field of study is not algebraic geometry, the two old-timers who have been in the mathematical field all their lives have studied algebraic geometry, and they recognize most of the classical formulas in the AG box and their meanings.

"Bezu's theorem, Kasler's correspondence principle, Cremona transform...... Hey, Shen Qi, what's the last formula in the AG part?" Lu Guozhen asked.

The last equation is ζ'd+1=ζd+1+αd+2ζd+2+...... αndn, Shen Qi said: "The application and promotion of the classical algebraic geometry theory in the AG part was completed by my two doctoral students, oh, they have now graduated with PhDs, one went to Mizuki University, and the other stayed in Princeton.

"The last formula is derived by myself, that is, the special feature of d-dimensional irreducible algebraic manifolds, which I will call 'S-class features' for the time being, which can be regarded as a small innovation. I won't go into detail about the specific derivation process of 'S-class features', but it's OK for you to know this conclusion. Shen Qi introduced his train of thought.

"Therefore, the core of the AG part is to combine classics with innovation and build a system framework. Lu Guozhen and Director Wu roughly understood the core logic of the AG part that Shen Qi personally grasped.

"Yes, my two PhD students and I did a pretty good job. Shen Qi then filled in the content in the second box, the second box is TP, Topology section.

Shen Qi has reviewed the full text of the topology section brought by Director Wu, and he wrote eight expressions in the TP box: "Thank you very much for the efforts of Director Wu's team in the past year, you have done a good job, and the derivation of the eight standard models of geometric conjecture has been successfully completed." These are the muscles and internal organs that provide the power and energy needed by the system. ”

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

"Enlightenment is directional, and the specific work requires a lot of manpower to complete, and we were able to start the work of the Hodge Conjecture project within a year, and every member of our team of 20 people has put in the effort. You must know that Schulz's team worked for three years, and the mathematics department of the University of Bonn used almost all its strength to help him. This project can't be done with just two or three guns, at least for a year. Shen Qi expressed his gratitude to Director Wu and Lu Guozhen's team by filling in the third box.

The third box is AN, the mathematical analysis section that Lu Guozhen is in charge of has been smooth, and Shen Qi has basically not bothered about it for nearly a year.

The research data 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 in the AN box: "Director Lu's research results can be summarized in one sentence, it is blood, which continuously delivers oxygen to our system. ”

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

"Two, how should this system be named? According to international practice, let's name it SL system for the time being, or LS, LS?" Shen Qi asked.

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

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

Of course, the name of the new theoretical system cannot be SLYTP...... Put all twenty people's surnames on them, no one has ever done that.

It is an international practice to include in the naming the surnames of the people who have contributed the most to the project, who are often academic leaders.

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

Lu Guozhen and Director Wu said in unison: "Of course, S should be put at the forefront." ”

Shen Qi arched his hand and smiled: "Accept." ”

After finishing the matter, Lu Guozhen and Director Wu discussed for a while, who went to college early, whose surname was placed in the second place, which was fair and reasonable.

After exchanging information, the two found that Lu Guozhen went to university one year earlier than Director Wu, so the new theoretical system was tentatively named "Shen-Lu-Wu System", referred to as SL system.

Shen Qi erased the question mark on the blackboard so that AG+TP+AN=SL.

and HC∈SL.

HC is an abbreviation for Hodge-Conjecture.

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