"Our Princeton team's research topic is "The Algebraic Geometry of the Hodge Conjecture", and the core idea is to decompose each projective cluster into irreducible branches as shown on the screen, and to consider the zero point set of affine ......"

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

The audience responded enthusiastically, and it is the consistent practice of the masters to build a system first and then verify the case.

Notable cases include Perelman's proof of the Poincaré conjecture and Wiles' proof of Fermat's theorem.

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

Wiles first established an elliptic curve model system, and then verified Fermat's theorem as one of the special results.

"It's a huge project, we've worked hard every step of the way, and we've achieved some results. I hope to share all of our research findings as soon as possible, not today, but in the near future. Thank you, my report is complete. Shen Qi ended his ten-minute presentation, the purpose had been achieved, and he showed up to brush up the heat, after all, he had not spoken publicly on the international mathematical stage for a long time.

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

Shen Qi: "Who comes first and who comes last is not the key to the problem, but the key is to solve the problem thoroughly, after all, the Hodge conjecture has plagued us for decades, and it's time to give the right answer." ”

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

Working with Schultz? Yo, this journalist has a wide range of ideas.

This reminds Shen Qi, yes, cooperation, why can't we cooperate, there is no mutual enmity between me and Schultz who killed his father and mother, Schultz's plan is still quite thoughtful, and the in-depth cooperation of the two top teams will be invincible in the world.

"It's not possible. Shen Qi shook his head and said.

Forget it, let's not cooperate with Schultz, everyone is invincible, won't the world be chaotic?

At the same time, another group of reporters were interviewing Schultz: "Professor Schultz, is it possible for you to work with Professor Shen's team to jointly solve the Hodge conjecture?"

Schultz replied without hesitation: "No way." ”

The main content of the international mathematical exchange was reported by relevant media, and the team of Shen Qi in Princeton, the team of Schultz of the University of Bonn, and the team of Viduka of the Ecole Supérieure de Paris, all of which are attacking the millennial problem Hodge conjecture.

Among them, the proposals of Shen Qi's team and Schultz's team have attracted the most attention, although the two teams only give an abstract version, but it is enough to attract the attention of the international mathematical community.

Shen Qi and Schultz are well-known prize maniacs in the mathematics world, with more than 20 mathematics awards and a combined age of less than 60 years old, which is a very amazing statistic.

Both freaks said they would not cooperate with each other in any areas.

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

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

Schultz would not mention his private life, and he turned away, no longer answering any questions.

Shen Qi returned to Princeton, and Yu Lei and Ralph participated in the doctoral defense as planned, and their doctoral dissertations were combined into "Hodge's Algebraic Geometry Methods", which was divided into two separate papers.

Yu Lei's specialty 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, and there is inevitably an intersection between the two papers of Shen Qi's two doctoral students, and several pages are almost identical.

It's not a big problem, this situation between fellow brothers and sisters is not plagiarism, and the respondents at Princeton know the background of the subject.

The defense went very smoothly, Yu Lei and Ralph got their PhDs from Princeton in only two semesters for their PhDs, and the graduate + doctoral students were six semesters in total, three years.

Princeton's fastest record is held by Shen Qi, who earned his PhD before the end of his fourth semester at Princeton, and it took less than two years to pursue his Ph.D.

The person who is faster than Shen Qi in the world is Schultz, who did not go through the doctoral stage and obtained a doctorate directly with a master's thesis.

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

Shen Qi brought out two PhDs at once, and his teaching career in the mathematics department at Princeton was basically complete.

"I spent five and a half years in Princeton's mathematics department, the first two years of studying, the middle half of the year as a lecturer, the last three years as a professor, published four major monographs, proved several conjectures, won some awards, and brought out two PhDs. I have no regrets, and I hope you both have a bright career future. 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." ”

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

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

Yu Lei said: "The people from Shuimu have already contacted me and said that they will go back to the overseas talent introduction plan, but the specific details have not been discussed in detail." ”

"Well, Mizuki is doing a good job, the talent introduction plan, the state gives the house a settling-in fee, and also gives the start-up funds for scientific research projects. Shen Qi expressed his satisfaction, his students returned to China, and they had to enjoy certain treatment no matter what.

"Professor Shen, I am here today because of your blessings. Yu Lei said sincerely that he was very young, one year younger than Shen Qi.

"You also have your own efforts. Shen Qi smiled, and then asked Ralph, "What about you, where are you going?"

"I've spent almost all of my adult life at Princeton, and I don't know where to go without Princeton. "Ralph studied Princeton Mathematics for his bachelor's, master's, and doctoral degrees, and he is the most authentic Princeton mathematician.

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

"Yes," Ralph says, "I decided to stay on and start as a math researcher. ”

"Good luck, Ralph. Shen Qi patted Ralph on the shoulder, he is also a peach and plum all over the world, and the first batch of doctors he brought out have all found good jobs. ()

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