"The research topic of our Princeton team is "Hodge's Conjecture Algebraic Geometry Method". The core idea is as shown on the screen, decomposing each projective variety into irreducible branches, and considering the zero point set of affine..."

"...Professor Schultz's report just now is very exciting, but the most exciting part, I think, should be algebraic geometry + mathematical analysis + topology. First establish the system, and then prove that Hodge's conjecture is a special case of the system." Shen Qi paused for a while when he said this.

The audience responded enthusiastically. It is the consistent practice of the masters to build the system first and then verify the individual cases.

Famous cases include Perelman's proof of the Poincaré conjecture and Wiles' proof of Fermat's Last Theorem.

Perelman first proved the system of Thurston's geometric conjecture, and then proved that the Poincaré conjecture is a special case in the system.

Wiles first established the elliptic curve model system, and then proved Fermat's last theorem, which is one of the special results.

"This is a huge project. We have worked hard every step of the way, and we have achieved some results. I hope to share all our research results as soon as possible, not today, but in the near future. Thank you, my report It's over." Shen Qi finished his ten-minute report, his goal had been achieved, and he showed his face to gain popularity, after all, he hadn't spoken publicly on the international mathematics stage for a long time.

After the meeting, a reporter interviewed Shen Qi: "Professor Shen, do you think your team will complete the Hodge conjecture proof before Professor Schultz's team?"

Shen Qi: "Who comes first is not the key to the problem, but a thorough solution to the problem is the key. After all, Hodge's conjecture has troubled us for decades, and it's time to give the correct answer."

Reporter: "Is it possible to cooperate with Professor Schultz's team on the issue of Hodge's conjecture?"

Collaboration with Schulz ? Yo, this reporter has a lot of thinking.

This reminds Shen Qi, yes, cooperation, why can't we cooperate, there is no mortal feud between me and Schultz who killed my father and mother, Schultz's plan is quite thoughtful, the two The in-depth cooperation of a top team will surely be invincible in the world.

"Impossible." Shen Qi shook his head and said.

Forget it, don't cooperate with Schultz, everyone is invincible, wouldn't the world be in chaos?

At the same time, another group of reporters was interviewing Schultz: "Professor Schultz, is it possible for you to cooperate with Professor Shen's team to jointly overcome the Hodge Conjecture?"

Schultz replied without thinking: "No way."

Relevant media reported the main content of this international mathematics exchange meeting. The Shen Qi team from Princeton, the Schulz team from the University of Bonn, and the Viduka team from the Paris Ecole Normale Supérieure. Hodge conjectures a shock.

Among them, the schemes of Shen Qi's team and Schulz's team received the most attention. Although the two teams only gave a summary version, it was enough to attract the attention of the international mathematics community.

Shen Qi and Schultz are well-known award-gatherers in the mathematics field. They have more than 20 mathematics awards, and their combined age is less than 60 years old. This is a very amazing statistic.

Both of the prize-swiping madmen said that they would not cooperate with each other in any field.

It is reported that Schultz's ex-wife, Ms. Mary Schmidt, was once a member of Shen Qi's team, and she and Shen Qi completed the proof of the Riemann conjecture.

When asked about his private life, Shen Qi generously said that he loves his girlfriend very much, the two will get married in the future, and hope to have two children, one boy and one girl is the best result.

Schultz, unwilling to discuss his personal life, turned away without taking any questions.

The three teachers and students Shen Qi returned to Princeton, and Yu Lei and Ralph participated in the doctoral defense as planned. Their doctoral thesis was combined into "Hodge's Conjecture Algebraic Geometry Method", which was divided into two independent papers.

Yu Lei's expertise is more inclined to the combination of complex variable functions and algebraic geometry, and Ralph intervenes in algebraic geometry on the basis of abstract algebra.

Independence is relative. There are inevitably overlaps between the two theses of Shen Qi's two doctoral candidates, and several pages are almost exactly the same.

It's not a big problem, this kind of situation between brothers in the same school is not plagiarism, and the respondent in Princeton knows the background of the topic.

The defense went very smoothly. Yu Lei and Ralph got their PhD in Princeton in only two semesters, and it took a total of six semesters and three years for graduate students + doctoral students.

The fastest record in Princeton is held by Shen Qi. He obtained his PhD before the end of his fourth semester at Princeton, and it took him less than two years to study for a PhD.

The person who is faster than Shen Qi in the world is Schultz. Schultz has not gone through the doctoral stage. He directly obtained a doctorate with a master's thesis.

For Shen Qi at this stage, it doesn't matter whether it is fast or slow, this life is very long, and the real test comes later.

Shen Qi brought out two PhDs at once, and his career as a professor in the Princeton Department of Mathematics was basically complete.

"I have been in the Princeton Department of Mathematics for five and a half years. I studied for the first two years, worked as a lecturer for half a year in the middle, and worked as a professor for the next three years. I have published four major monographs, proved several conjectures, won some awards, and brought I have two PhDs. I have no regrets, and I hope you two will have bright career prospects." Shen Qi said to Lei and Ralph.

"Professor Shen, are you trying to drive us away?" Dr. Yu Lei didn't want to leave.

Shen Qi waved his hand: "Where did you come from, go back there."

"I'm from Shuimu, so I'm going back to Shuimu?" Yu Lei still has a lot of affection for Shuimu University.

"Did Mizuki send you an offer? If not, I can arrange for you to work at Yanda." Shen Qi, a visiting professor at Yanda University, has this connection, and he arranged for a PhD in mathematics from Princeton to go to Yanda easily.

Yu Lei said: "People from Mizuki have already contacted me, saying that they will go back through the overseas talent introduction plan, and the specific details have not yet been discussed in detail."

"Well, Mizuki has done a pretty good job. The talent introduction plan, the state provides housing, settlement funds, and start-up funds for scientific research projects." Shen Qi expressed his satisfaction. His students have returned to China, and they have to enjoy certain treatment no matter what.

"Professor Shen, I am today thanks to you." Yu Lei said sincerely, he is very young, one year younger than Shen Qi.

"It's also your own efforts." Shen Qi smiled, and then asked Ralph: "What about you, where are you going? Where do you want to go?"

"I have spent almost all of my adult life in Princeton. After leaving Princeton, I don't know where to go." Ralph's undergraduate, master's, and doctoral degrees all studied in the Princeton Department of Mathematics. He is the most authentic Princeton Great mathematicians.

"Did they send you an offer?" Shen Qi asked.

Ralph said: "Yes, I decided to stay in school and start as a mathematics researcher."

"I wish you good luck, Ralph." Shen Qi patted Ralph on the shoulder. He is also full of peaches and plums, and the first batch of doctors he brought out all found good jobs.

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