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Chapter 352 Conception

100 years ago, any mathematical problem could be explained clearly to an ordinary person who was interested.

Today, some math problems are even difficult to explain clearly to most full-time math workers.

The Hodge conjecture is one of them, and it was proposed by the British mathematician Sir Hodge in 1950:

"Each (certain type) harmonic differential form on a non-singular projective algebra cluster is a rational combination of the upper homomodulation classes of algebraic closed chains."

Whether it is Chinese, English or other languages, it is difficult to read Hodge's guess in full in one go.

Who can understand even a professional term in this sentence can definitely be the king in the class.

"I have been studying numerical scores for decades, from a student to the director of the Department of the Number Division of Yan University's Mathematical Scholarship, I have also conceived the role of mathematical analysis methods in the Hodge's conjecture, but I have never implemented it. Why can't it be implemented? Because only understanding numerical scores cannot prove the Hodge's conjecture, and it is even difficult to understand the Hodge's conjecture." Lu Guozhen said with emotion, and added: "Fortunately, I understand a little algebraic geometry, and understanding the Hodge's conjecture is OK for me."

Shen Qi said: "Hoqi's conjecture looks so profound and unsolvable. No matter how difficult it is, it can still find the rules through calculus. The most basic tools can often solve the deepest problems. The key is the people and usage of the tools. Mathematical analysis is the basic mathematical tool. Differential is the jack, integral is the torque wrench, and series is the screwdriver. As long as the tools are used well, even the most solid car can be dismantled."

Lu Guozhen dipped his finger in tea and looked aimless to outline an abstract figure on the desktop: "But we use calculus to define an object, and the objects we define are not necessarily geometric."

Shen Qi wiped off the water mark pattern on the desktop and asked: "Director Lu, what is the nickname of Hoqi's guess?"

Lu Guozhen patted his forehead: "Hokey conjecture, there is no geometry of graphics."

Shen Qi smiled and said, "Yes, to change the way we can propose the Hodge conjecture from the integrals along generalized paths on algebraic clusters. If some such integrals are zero, then there is a path in this path class that can be described by polynomial equations."

Lu Guozhen realized that Shen Qi's idea was relatively reliable, so he patted his chest and volunteered: "Tell me, what do you want me to do? Including me, there are almost seven or eight Yan Da's backbone who can be mobilized."

"I'll mobilize three or four more people, and I'll just get a football team together."

"I am the director of the teaching and research department. Do you think I am the dean? Shen Qi, what teams do you have to do this time?"

"The two doctoral students I led at Princeton are responsible for the algebraic geometry section, Morningside Mathematics Center is responsible for the topology section, and Director Lu, you and your backbone team are responsible for the mathematical analysis section."

"Your net is so big, Chief Designer Shen Qi." Lu Guozhen saw some clues, and he continued: "Shen Qi, one of the two doctoral students you brought in at Puda University is a Chinese student, right?"

Shen Qi said: "Yes, my two students, one Chinese and one American."

"In your idea, two top universities in China and the United States plus a scientific research institution are divided into three sections to overcome the Hodge's conjecture, and finally complete the successful meeting under your integration. There are more than a dozen mathematicians participating in this century project, including one American doctoral student, and the rest are all Chinese... Shen Qi, it seems that your strategic focus is gradually shifting to the country, and I absolutely support you." Lu Guozhen analyzed Shen Qi's strategic intentions.

"Step in the transition stage, come step by step." Shen Qi had his plan. Before he returned to China, he wanted to give a generous gift to his motherland. Hoqi guessed that this project was a good gift.

The main person in charge of the Riemann Conjecture project that has been conquered was Shen Qi. At that time, there were Chinese, German, Swedes, and Israelis in that team. They completed the feat in the history of mathematics with the strong support of American academic forces, which completely proved the Riemann Conjecture.

Now when people mention the Riemann conjecture, the most common comment is: "A Chinese mathematical genius led an international team to make history in the United States."

Although mathematics does not distinguish between national boundaries, Shen Qi's wish is to lead a Chinese team to create history again.

Regarding the new project Hodge conjecture, Shen Qi and his Princeton team have a total of three, Lu Guozhen and his Yan University team have seven or eight, and Director Wu and his Morningside Mathematics Center team have five or six.

For basic mathematics research, establishing a special research team of sixteen or seventeen people for a project is definitely a luxurious lineup.

In this luxurious lineup, only Shen Qi's student Ralph is an American doctoral student, and the rest are Chinese mathematicians, which should be considered a Chinese team.

Hodge's conjecture is a huge project and feasibility study before the project is established is essential.

Lu Guozhen and Director Wu's two small teams immediately carried out a intensive feasibility study. After preparing the feasibility study report, they will apply to the relevant departments for project approval, which will take several months.

"Hoqi guessed that this project had already started. What should I do with the other three difficult problems?" Shen Qi returned to the hotel and wrote the n-s equation on paper, p-to-np problem, and Yang-mi equation, and then stared at them in a daze, with no choice.

The outside world believes that the most difficult of the seven millennium problems is the Hoqi conjecture, while Shen Qi believes that the most difficult is the p-to-np problem, with the n-s equation and the Yang-meter equation second.

"The physics level is still a little lower, two of the four earthquake prediction points are calculated correctly, and there is no news for the other two so far." Shen Qi has been crazily accumulating physics knowledge this year, and has reached a bottleneck. If you want to seek breakthroughs in physics, it is best to upgrade to another level.

"One of the conditions for upgrading to level 12 to level 13 is to work as a physics professor for at least one year. Where can I find such a job?"

Shen Qi is currently the head of Mathematics Professor of Pudong University, a visiting Mathematics Professor of Yan University, and a senior mathematics consultant at Morningside Mathematics Center.

The reason why Shen Qi has achieved remarkable achievements in mathematics is that he has achieved world-renowned achievements in mathematics.

Shen Qi has also achieved certain achievements in physics. One of his condensed matter theory papers was published in PRL, and another seismological model paper was published in "Science".

"My PhD thesis on Complexity" has been submitted to PRL for a while, I wonder what stage it has reached?"

Shen Qi entered the prl submission system to view the review progress of the paper "On Complexity".

prl's submission system shows: Included.

The system flashes out information, because the host publishes a paper in a physics journal with an if value of 7.872, he rewards 393,600 points of academic master points.

"Two PRLs, one 'Science', I wonder if I have the chance to get the title of Physics professor?" Shen Qi left the hotel and wandered around the Yan University campus to look for opportunities.

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