Shen Qi provided Academician Pan's team with a brand-new theoretical system of quantum key setting. The predictable application scenarios include military, finance, communication, Internet and other fields. It will make hackers with ulterior motives return without success. The system will be more reliable, and the bank cards of ordinary people will be more secure.

The large-scale application of quantum cryptography needs to rely on quantum fundamental physics. It is not a matter of time before QPU completely replaces CPU, but Academician Pan’s team has at least clarified the future research direction. There is a quantum satellite named Mozi in the sky and a brand new quantum key on the ground. They know exactly what to do next.

The theoretical system of "Riemann's Theorem Prime Number Carrier Quantum Key System" cannot be published temporarily. Shen Qi quietly left the quantum computer laboratory to do something that can be disclosed to the world.

Today is Sunday, and Shen Qi retreated in the hotel room all day, switching his thinking from Riemann's theorem to Riemannian manifolds. He temporarily forgot about number theory and quantum physics, and concentrated on studying algebraic geometry and topology.

"Riemann is really energetic, and his name can be seen in any field." According to a basic property of Riemannian manifolds, Shen Qi takes an orthonormal basis in each tangent space in order to simplify the local calculate.

The topology section of the Hodge Conjecture is another major topic that Shen Qi needs to solve when he returns to China. The whole world knows that he is trying to overcome the Hodge Conjecture.

The next day, on Monday, Shen Qi came to the Morningside Mathematics Center: "Director Wu, brothers, the four-day vacation that just ended, you had a good time, right?"

"My wife and I climbed the Great Wall. This is the eighteenth time in my life that I have been a hero." Director Wu shrugged his nose. He caught a cold from the cold wind during his eighteenth trip to the Great Wall.

"I didn't go anywhere, I just stayed home with my baby," said a researcher surnamed Liang.

"I went to Dali. There are many beautiful girls from all over the world, but unfortunately I didn't get a single number." Researcher Xiao Bian sighed.

"It seems that everyone's holiday life is very exciting." Shen Qi smiled.

In his fifties, Director Wu's son is in his third year of junior high school, and he and his wife chose to take a field trip.

Researcher Liang, who is in his thirties, has just become a father, and he chooses to take care of his baby at home.

Twenty-eight or nine-year-old Xiao Bian is currently single. He chooses to travel to Dali, looking forward to a romantic encounter.

Director Wu and his researchers generally marry late and have children. Except for singles, most of the rest of their leisure time is spent with their families.

The men of the Gu family are trustworthy. Shen Qi learned that five of the other six men in this conference room are married, and three of them are Cancers. They love their wives and children, and respect their parents and father-in-law.

"Where did Professor Shen go?" Xiao Bian, a single dog, asked.

"Me, a four-day tour of the capital." Shen Qi, who is not married but not single, said, and he handed a USB flash drive to Xiao Bian: "I have written some ideas about the topological method of Hodge's conjecture these days. I hope to share it with everyone, Mr. Bian, please help project it."

Shen Qi's experience was projected on the screen, and Director Wu's six-member team was engrossed in staring at the screen. The holiday was over, and they returned to work.

Shen Qi began to explain his experience: "The derivation based on the eight standard models of Thurston's geometric conjecture is the core logic we determined before. Director Wu, you have completed the standard spherical S, In the derivation work of the three standard models of Euclidean space R and hyperbolic space H^3, you have encountered difficulties in the left-invariant Riemann metric on the universal cover of special linear groups."

"The derivation of the standard model, the left-invariant Riemann metric on the universal cover of special linear groups, is the most complicated of the eight standard models. I did a deduction, please see the big screen." Shen Qi switched Go to the next page and say: "The transition map of a complex manifold is a holomorphic map. I performed a new treatment on the Cauchy-Riemann equation and got an interesting result. Γ is a 1-dimensional complex manifold. Its The geometric and topological properties are so distinctive..."

Shen Qi spent the whole morning preaching his detailed process and final conclusion on the derivation of the most complicated standard model.

Only director Wu understood Shen Qi's first explanation.

Within a week, Shen Qi spoke six times. Combined with new inspirations, he revised while speaking, and finally locked the plan on Saturday. All six members of Director Wu's team understood Shen Qi's thinking.

"So we have completed the derivation of four of the eight standard models. My suggestion is that everyone follow the logic of my derivation of the Riemannian metric standard model to solve the remaining four standard models." Shen Qi concluded ,advise.

"Received!" Director Wu's team got Shen Qi's true biography, and they will complete the subsequent work according to the derivation ideas set by Shen Qi in the future.

Academician Pan's quantum key problem was solved, and Director Wu's topology problem was also solved. Shen Qi left everyone with the impression of being efficient, responsible, and specialized in treating difficult and miscellaneous diseases.

In addition to high-end academic research, Shen Qi is also very concerned about the mathematics education of elementary and middle school students.

The Chinese Mathematical Society, the organizer of the Mathematical Olympiad, obtained Shen Qi's consent, and put Shen Qi's photo on the homepage of the official website after artistic treatment.

This year's CMO is in full swing, and the number of applicants has reached a record high.

Shen Qi was invited to the Chinese Mathematical Society and took on an important task—problem writing.

"Professor Shen, you have won the CMO championship and the IMO championship, both of which are full marks. This year's CMO national competition is the last question for you, which is perfect." The person in charge of the CMO organizing committee said.

"It's easy to say."

Shen Qi walked to the small blackboard, picked up the chalk and wrote the question on the spot:

Let n be a positive integer, consider S={(x, y, z)∣x, y, z =0, 1, 2,..., n, x+y+z\u003e0} such a three-dimensional space with A set of (n+1)^3-1 points, Q: How many planes are required at least so that their union can contain S but not (0, 0, 0)?

Shen Qi clapped the chalk dust on his hands: "Well, this is the question I asked, it's a bit difficult, and it meets the standard of the last question in the CMO national competition."

The other three people in this conference room stared at the topic on the blackboard and fell into deep thought.

"The idea of ​​setting this question is very ingenious. Using high school mathematics knowledge and some extracurricular supplementary knowledge that is not profound, it should be possible for high school students to find the correct answer." Vice President Tan was the first to comment.

Shen Qi's old friend Liu Ganshi said: "Is it possible? I predict that the number of high school students in China who can find the correct answer will not exceed a slap in the face."

Shen Qi suddenly remembered something: "Leaders, there is a mystery in my heart that I have never been able to solve. In the CMO national competition I participated in, how many contestants got full marks in the last question?"

Officer Liu said: "Shen Qi, the last question of your national final was too perverted. It was indeed perverted. I remember it very clearly. At that time, I was marking the paper. The question required contestants to prove that the square root of 2 is an irrational number, but geometry is not allowed. Graphing method. Among all the contestants, only two of them successfully proved that the square root of 2 is an irrational number without using the geometrical graphing method, and one of them is you, Shen Qi."

"The root number 2 question is quite interesting. By the way, what is the other contestant doing now?" Shen Qi asked with interest.

"He was selected for the National Mathematical Olympiad team, and was sent to the Department of Mathematics of Shuimu University. I don't know where he went. It is said that he went to the United States for further studies?" Director Liu said uncertainly.

"What's your name?" Shen Qi asked again.

Officer Liu: "His name is Yu Lei, and he was selected for the national team at the same period as you, Shen Qi."

"It's actually him, Yu Lei!" Shen Qi was stunned for a moment, then laughed loudly: "Yu Lei is currently studying for a Ph.D. in the Department of Mathematics at Princeton, and his doctoral supervisor is me."

"Such a coincidence?" Director Liu and Vice President Tan were both surprised and found it quite amusing.

At the beginning, there were only two high school students who proved the most difficult and perverted Mathematical Olympiad problem, but now they are teachers and students.

Officer Kong, who had been silent all this time, finally spoke: "Everyone, let's talk about the question Shen Qi asked on the blackboard. Lao Tan, Lao Liu, can you two find the answer to this question?"

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