On the big bed in the hotel room, the hormonal atmosphere after the end of the lingering romance is still there.

"Look, I bought a bag, ate a big meal, and solved the equation. Come on, little leaf, what is the mathematical principle of blackjack?" Shen Qi humbly asked for advice. He also had some model assumptions in his mind. Confirm with Ouye.

Ouye hugged the big snow-white pillow and giggled, but didn't say anything.

"From the luxury store until now, you are not fooling me, are you?" Shen Qi snatched the pillow.

"Ah!" Ouye covered her chest with both hands in a vacuum, and she immediately got into the quilt and exposed her head: "Ten bets and nine loses, it's not accurate."

"Then you won three games in a row, purely by luck? Why are you teasing me because the fourth game has a chance of losing more than 80%?" Shen Qi found that he was really fooled, winning three games in a row, just any ordinary person's luck It can be done.

Ouye tucked his head into the quilt, grinning sullenly.

Shen Qi lifted the quilt: "Little Ye Zi, you have changed!"

"Odd, wait! It's really possible to calculate it hard, but I didn't calculate it today..."

...

The short vacation in Atlantic City was very happy. Shen Qi and Ouye entered the casino once and won 700 US dollars. Other consumption totaled 5,000 US dollars and bought a lot of gifts.

Back in Princeton, the result of Dr. Ouye's defense came out: pass.

With the Princeton PhD, Ouye is very happy, and Shen Qi is very relieved: "Ouye, you have read more than a dozen books and finally reached the end. There will always be such a day when you don't want to end. .Congratulations, Dr. Ou!"

"Thank you, Dr. Shen!" Ouye and her boyfriend wandered on the campus of Pudong University, a couple with three doctorate titles.

"Xiao Yezi, your doctoral dissertation has to be published publicly. It is a good achievement to prove the Jesmanovich conjecture for the first time. Once you are recognized by the IMU, you may win an award." Shen Qi suggested.

"I don't dare to think about the Fei Award." Ouye was self-aware.

"With the results of the first certification of Jesmanovic's conjecture, it is very difficult to get the Philippine Award, but there are other awards, and you should get one."

"Well, I hope."

Ouye submitted his doctoral thesis "Proof of the Jesmanovich Conjecture" to the "Annual of Mathematics", and if it can be published in the "Annual of Mathematics", it will be a consummation of merit.

Ouye was idle, and she waited for Shen Qi to finish Hodge's conjecture project, and then they went back to China together.

Of course, Shen Qi wanted to prove Hodge's conjecture for the first time in the world, and he knew that other competitors were also working hard.

The latest version of Yu Lei's and Ralph's thesis was delivered to Shen Qi, and Shen Qi said after finishing the study, "Not bad."

Yu Lei and Ralph are both in Shen Qi's office.

"Thank you very much, both of you. I only know how much sweat you have put into this project since last summer vacation. Now we are only one small step away from success." Shen Qi is quite satisfied with the hard work of the two doctoral students.

"So Yu and I still need to revise the thesis?" Ralph asked. Shen Qi has extremely strict requirements on them. This thesis has been revised sixteen times. This edition is V17, the seventeenth edition.

"I think the V18 version will be the final version, so you have to work hard for a while." Shen Qi walked to the blackboard and wrote his opinion.

"We are responsible for the Hodge conjecture algebraic geometry section, we have completed 90% of the work, the next 10%, we should do it."

Shen Qi knocked on the blackboard: "Assume the base domain k is complete, add N^2 undetermined elements uik, theoretically we can get a new base domain, do you understand me?"

Yu Lei walked to the blackboard and said, "Professor Shen means that through linear transformation, it is possible to make ε1 to εm algebraic independent quantities on K?"

"That's right, this job is entrusted to you, Yu Lei, are you sure to verify my inference?" Shen Qi asked.

"I try to finish this work as soon as possible." Yu Lei seemed confident.

"Very good, Yu Lei has taken over this job, so you have no choice, Ralph." Shen Qi looked at Ralph and said, "I guess that each point y in Vx has a definite closed chain, so that the point to which it belongs z is located in the image cluster of point O under the rational map, Ralph, can you prove my conjecture and give the most rigorous derivation process."

The situation is pressing, if you can't do it, you have to do it, if you don't, you have to do it. Ralph bit the bullet and took the task: "I think, I should be able to."

"Very good!" Shen Qi clapped his hands and blew the charging horn: "Brothers, the time for the decisive battle has come, please believe me, we will grow old after decades, and we will never regret that we did nothing when we were young. Let's start working !"

Yu Lei and Ralph went to work, and the new task Shen Qi gave them was not easy.

Shen Qi is responsible for collecting intelligence and controlling the overall progress of the three teams of China and the United States.

"Director Lu, how is the progress of your mathematical analysis section?"

"Professor Shen Da, you can relax! According to the plan, we will start drafting together in July."

"Director Wu, how is the derivation of the remaining four standard models in the topology section going?"

"According to your train of thought, Professor Shen, we have completed two, and the progress is smooth!"

"Can the draft be completed in July?"

"We will go all out in accordance with the goal of the joint manuscript in July!"

The morale of the two teams on the Chinese side was quite high. Lu Guozhen's team at Yanda had been going smoothly and basically did not cause any trouble for Shen Qi. The Department of Mathematics at Yanda ranked first in the country, and this number one was not for nothing.

Director Wu's team at Morningside Mathematics Center's talent pool is not as good as Yanda University. They encountered a lot of troubles in the process of project promotion. Fortunately, Shen Qi helped them solve them after returning to China.

Scientific research projects are like this. Sometimes they are smooth and sometimes blocked. An academic leader with both strategic and tactical qualities is very important. Sometimes a decision made by the academic leader will make the whole team get twice the result with half the effort. Of course, wrong judgments may also kill the team and lead to extinction. group.

The three institutions of Princeton, Yanda, and Morningside Mathematics Center completely trusted Shen Qi, and Shen Qi was able to show his strengths. He did not allow himself to fail. Once he lost, who would he be worthy of?

However, the international situation is extremely complex, and competition is always on a global scale.

Just after Shen Qi finished talking with Director Wu, there was heavy news from Germany. Schulz’s team at the University of Bonn announced that they proved that every harmonic and differential form on non-singular projective algebraic varieties of type β is algebraically closed. A rational composition of the cohomology class of chains.

Shen Qi immediately inquired about the relevant information of the Munich Symposium.

At this meeting, Schultz reported his latest research results on Hodge's conjecture, which belonged to the nature of abstracts, and all the results were not made public.

"It turns out that Schulz defined the β-type non-singular projective algebraic variety in this way. If he really proves this special β-type case, it will not be too far away from completely proving Hodge's conjecture." After a few months, Shen Qi felt nervous again. Schultz began to study Hodge's conjecture three years ago, and Shen Qi was actually a latecomer.

The more Shen Qi chased, the faster Schultz ran, and the competition became fiercer.

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