"In order to prove Hodge's conjecture, I designed three sections, and the other two sections started with topology and mathematical analysis, which were mainly tackled by the teams of Yan University and Morningside Mathematics Center. ”

Shen Qi talked about the overall framework of the Hodge conjecture project, and Ralph and Yu Lei felt that this matter was getting bigger and bigger, which was so exciting.

For the next period of time, Shen Qi had outdoor academic exchanges with Ralph and Yu Lei on the lawn at the entrance of the mathematics building every day to discuss the project promotion plan and specific technical details.

The thinking is getting clearer and clearer, and under the careful guidance of Shen Qi, Ralph and Yu Lei have made rapid progress and are full of enthusiasm.

Lectures are given outdoors and can be seen by teachers and students coming and going in Princeton.

Ten to hundred, and the whole Princeton knew that Shen Qi was taking his two doctoral students to overcome the Hodge conjecture.

At the internal exchange meeting of the Department of Mathematics, Shen Qi reported to the department his general idea of the Hodge conjecture, with Princeton as the lead academic unit and Yan University and Morningside Mathematics Center as the joint academic unit.

There is nothing to hide, Princeton professors are responsible for their own acres and thirds of land, self-funded to carry out academic research, who they love to cooperate with, and the main evaluation indicators of the school for professors are the quality and quantity of academic works, the number of academic funds, and the number of PhDs.

Shen Qi served Princeton during the day, and returned to the faculty dormitory at night, where he secretly studied the theoretical relationship between Riemann's theorem and quantum communication keys, and no one could help him, and he didn't need the help of others, which made it even more troublesome.

The Riemann theorem and the theoretical system of the distribution of prime numbers of the Riemann zeta function have been widely known, and Shen Qi elaborated in his academic monograph "History of Number Theory", which has been on the market for more than a year and has brought Shen Qi more than one million dollars in revenue.

Shen Qi is facing an important topic for Shen Qi to establish an effective mathematical connection between the two systems, as well as the theoretical system of Riemann's theorem and the distribution of prime numbers of Riemann Zeta function, as well as the quantum communication key system.

"It's very brain-burning, it's challenging. Shen Qi bit his pencil and stared at the messy pile of symbols on the scratch paper in a daze.

In another corner of the study, Ou Ye was biting another pencil, her eyebrows tightened, and she was burning her brain for her doctoral dissertation.

Shen Qi knew that Ou Ye's doctoral dissertation was related to the Jesmanovich conjecture, and Ou Ye also knew that Shen Qi was studying quantum keys in secrecy.

The two didn't ask each other about the specific details of the subject, and Ou Ye asked in vain, she was not proficient in quantum physics.

Shen Qi also did not give hints on the technical details of Ouye on the Jesmanovich conjecture on the number theory problem.

Because Oye has set the FLAG, she has to complete the proof of Jesmanovich's conjecture alone.

"Many concepts in quantum physics are completely different from classical physics, except for one thing that is the same, whether quantum physics or classical physics, in which the mathematical language is universal. Shen Qi muttered to himself, as if he had found a hint of inspiration.

"Yes, the positive integer solution, Lucas even number. Ouye murmured, and her inspiration appeared.

"I thought of a way, in the quantum theory system, using differential equations as a breakthrough to establish a new functional expression, which is a bridge, and finally connects to the theoretical system of the distribution of prime numbers of Riemann Zeta functions!" Shen Qi was amazed by this genius pen, and exclaimed, finally found a directional solution, and the next thing to do is derivation and verification.

"Lucas even, standard decomposition, algebraic integer rings!" Ouye was in a brave state tonight, and she knew how to prove Jesmanovich's conjecture!

In the same study room, the research topics of the two are completely unrelated, which does not prevent them from doing their own work and making research progress on their respective topics.

A few days after Shen Qi determined the research direction of Riemann's theorem + quantum key, the Courant Institute of New York University called and invited Shen Qi to attend an academic exchange meeting at the Courant Institute, with the theme of "Riemann's theorem and the application of the theoretical system of prime distribution of Riemann zeta functions".

The Princeton Department of Mathematics is the temple of fundamental mathematics, and NYU's Courant Institute is the center of applied mathematics.

Shen Qi accepted the invitation and came to the Courant Institute of New York University.

Shen Qi was warmly received by the director of the Curant Institute, and then the "Riemann Theorem Application Research Group" carried out specific academic exchanges with Shen Qi, and the team leader was the American applied mathematician Kevin Starry.

Professor Kevin Starry is an all-rounder in the field of application, with a PhD in Mathematics and a PhD in Communication Engineering, as well as a strong background in Computer Science and Materials Science.

There were four people sitting in the conference room, Shen Qi, Starry, and Starry's two assistants.

Starry said, "Professor Shen, all of us in the Riemann Theorem Application Research Group are here, so let's get into today's topic. ”

What are you kidding, just three of you studying the application of Riemann's theorem? That's too little? Shen Qi felt that Starry was not honest, and according to international practice, the number of research teams engaged in applied research and development was often more than that of basic theoretical research.

At that time, Shen Qi and his team of eight people took one or two years to complete the proof of the Riemann conjecture, and finally renamed the Riemann hypothesis to the Riemann theorem.

Now Professor Starry told Shen Qi that the application team of our Courant Institute has sent three people to study the application technology of Riemann's theorem.

"OK, Professor Starry, let's get started. Shen Qi said quietly, in fact, he is also very concerned about the extent to which the Courant Institute, which has long occupied the first place in the list of applied mathematics, has studied his theoretical system of Riemann's theorem.

"Wait a minute, I remembered, I read a paper not long ago, the core idea is that the quantum chaotic system takes all primes as its components, signed by the Courant Institute of New York University, and there are three authors...... "Shen Qi is a radical spirit, and among the authors of that paper, there is a man named Kevin Starry."

"That's right, it's the three of us. Starry laughed.

"There are no other researchers?" asked Shen Qi.

"Just the three of us, Professor Shen. Starry still smiled politely.

Shen Qi showed a look of surprise: "Wow, the three of you are Lu Jalig, Babe Ruth and Gibera from the Colang Institute, the best team in history!"

Starry and his two assistants laughed: "Thank you for the compliment, it turns out that Professor Shen is also a fan of the New York Yankees." ”

When you come to New York, if you don't have much to talk about, talking about the New York Yankees is the best choice. Shen Qi was bored just now and looked through a baseball magazine, which wrote the names of several of the best players in the history of the New York Yankees, and Shen Qi was now learning and selling.

After the trial, the two sides moved on to the topic of academic exchange.

Shen Qi speculated that Starry's team was having trouble applying Riemann's theorem.

If there is trouble, Shen Qi, the proover of Riemann's theorem, will be invited out of the mountain, and if the road is smooth, the Courant Institute will come up with the research results and directly put them into application.

Starry said sincerely: "Professor Shen, we have encountered trouble in the application of Riemann's theorem, and after repeated verification, we found that the root of the trouble is the lack of thorough research on the theoretical prototype, so we sincerely invite you to come over, hoping that you can answer our confusion about the theoretical prototype." ”