"Oh, Qi, you finally solved Hodge's conjecture?" Faltings showed great interest.

"I knew it, you can do it." Director Fefferman said.

"Let's get started." Deligne said succinctly.

Shen Qi played the PPT and began to report: "OK, let's start. Unlike other teams who try to directly prove Hodge's conjecture, our plan is to first establish a system composed of algebraic geometry, mathematical analysis, and topology, and then prove that Hodge's conjecture is Part of the system, the general idea is similar to Perelman's proof of the Poincaré conjecture..."

The report contained a lot of content and was very long. Although the target audience of the report was the three Philippine Award winners, Shen Qi tried his best to explain it in detail. After all, this report was brand new.

Shen Qi's original plan was to finish the report within five hours, but after five hours passed, the first part of the AG section was not finished.

During the reporting process, the three Philippine Award winners kept asking questions, and the most frequently asked questions were about the "S-type characteristic surface" specially defined by Shen Qi.

Shen Qi had to repeatedly explain the relevant properties of the "S-type characteristic surface" and the derivation and proof process. He had to let the three Philippine Prize winners from Princeton and Pugao Institute fully understand his plan.

If even Deligne, Faltings, and Fefferman couldn't understand Shen Qi's SLW system, then there would be no need to hold a mathematics report for the public, because it would be even more difficult for others to understand.

Theories that most people cannot understand will not be officially recognized by the IMU.

Hodge's conjecture is one of the conditions for Shen Qi's mathematics level to be promoted to level 15. If it reaches the full level, it doesn't matter. Whether you like it or not, I, old Shen, just do what I love to do.

But now it has not reached the full level, so Shen Qi needs to make his system public as soon as possible, and make most people understand his theoretical system.

The AG board finally made it clear to the three Philippine awards bosses, and it was already ten o'clock in the evening.

Deligne is old and tired. The old man is very tired, but he still can't hide his excitement: "Qi, let's stop here today and continue tomorrow. I am very much looking forward to your report later."

After seeing off the three bosses, only Shen Qi and Ralph were left in the conference room.

Ralph, who was in charge of serving tea and coffee, let out a long breath. The four Filipino award winners were in the same closed conference room, which brought him a lot of pressure.

"The three of them understood, how about you, Ralph?" Shen Qi asked.

"I am familiar with the AG section, except for the 'S-class characteristic surface'. But after Professor Shen explained it, I completely understood it. I can only say, wow, what a genius idea!" Most of the contents of the AG section It was completed by Ralph and Yu Lei. After Shen Qi's post-processing, it is already perfect.

"That's good, the AG board also has your credit, Ralph." Shen Qi was relieved, Ralph represented the common people in the mathematics world, everyone is really good.

Ralph: "So we are the fastest, right? I am concerned about the progress of Schulz's team in Germany. They have not published the latest research results recently."

Shen Qi nodded: "Well, we should be the fastest."

The next day, Shen Qi continued to explain the TP and AN sections, as well as the SLW system built after the integration of the three major sections of AG, TP, and AN.

"I don't know if you have any questions about the SLW system?" Shen Qi asked with concern. This is a very critical question.

"All the questions have been solved. There is no problem with this new system including algebraic geometry, topology, and mathematical analysis." Deligne stood up, walked in front of Shen Qi, and shook hands with Shen Qi: "It's a pity that a mathematician can only receive it once in a lifetime." Fields Medal, otherwise your name should be on the list of Fields Medals next year, Qi."

"Maybe the IMU will make an exception?" Director Fefferman said.

"No, they won't, they are more rigid than my old stubbornness." Deligne shrugged, and then walked towards the door of the conference room.

"Hey, Professor Deligne, my report is not over yet. The last part is to prove that Hodge's conjecture is a special case in SLW." Shen Qi shouted towards Deligne's back.

"You don't need to prove it to me. In my opinion, the SLW system is more meaningful than Hodge's conjecture." Deligne smiled back and waved away.

Shen Qi returned to the reporting position and asked: "Director Fefferman, Professor Faltings, would you like to listen to the last part of my lecture?"

"Listen, why not listen?"

"Go on, Chi."

The Golden Slam winner Deligne, who has won the Fields Medal, the Wolf Medal and the Abel Prize, has a relatively high level. Director Fefferman and Professor Faltings are more down-to-earth, and they are itchy if they don't see the final outcome.

Next, Shen Qi showed Director Fefferman, Professor Faltins and Ralph why the Hodge conjecture is part of the SLW system.

"...To sum up, Hodge's conjecture has been completely proved." Shen Qi finished his departmental report.

"Beyond imagination but reasonable." Faltins clapped his hands and praised.

"The Department of Mathematics will immediately arrange a mathematics report, and invite mathematicians from IMU and other scientific research institutions to come and listen." Fefferman said, he looked excited, but also a little bit reluctant: "Odd, I said, you Always the best alumni of Princeton, thank you for your service to Princeton over five years."

During his study and tenure at Princeton, Shen Qi successively proved the Walsh conjecture, the Muller-Shen theorem, the Shen's proximity theorem, the Riemann conjecture, the Goldbach conjecture and three other related conjectures, and won ten mathematics awards. fruitful.

Hodge's conjecture has just been proved by Shen Qi and will be announced to the world soon.

Colleagues all know that the Hodge Conjecture is the last gift Shen Qi left to Princeton. Shen Qi will announce to the world as a professor of mathematics at Princeton that the Hodge Conjecture has been overcome.

When a person wants to go home, no one can keep him.

Everyone knows this truth, it's human nature.

Faltings said to Director Fefferman: "Charles, there are too many best alumni and so on, should you give Qi a special gift, such as an honorary professor of Princeton."

"The dean of the department cannot appoint honorary professors. This requires a resolution of the school board." Dean Fefferman shook his head, expressing his limited ability.

"However..." Fefferman came to a turning point and said: "One person has solved two millennium problems successively. This is unprecedented in the history of modern mathematics. Strange, although I am not qualified to directly award you the title of Princeton Honorary Professor, But I have the right to propose to the school board."

"Hurry up and propose, Charles, you will step down as the dean of the department in a few months." Faltings meant that he had the right not to be struck by lightning.

"After Qi's public report is over, I will propose it immediately." Fefferman suddenly wanted to understand a truth. If Princeton gave Shen Qi some thought, such as giving Shen Qi the title of lifelong honorary professor, then Shen Qi and Princeton would be the same in this life. I can't make up my mind: "Qi, prepare yourself. Your public report on Hodge's conjecture will be held in a week at the earliest. I assure you, this will be the largest academic event since the establishment of Princeton. Meeting."

"Received!" Shen Qi was gearing up. In order to ensure the effectiveness of the meeting, he posted the essence of the paper on the SLW system and Hodge's conjecture proof to arVix.

The full text of the thesis is 221 pages, and the essence version is 103 pages. There are two purposes for issuing the condensed version. One is to claim that the team led by Professor Shen Qi from Princeton has completed the proof of the Hodge conjecture first.

The second is to give the international mathematics community some time in advance to preview the main content of this paper, so that everyone can know it well, so as to avoid the embarrassment of listening to the bible at the report meeting.

In the name of the Department of Mathematics of Pudong University, Director Fefferman widely distributed hero posts, inviting famous people in the international mathematics circle to Princeton to discuss major issues in the near future, and the conference organization work is in full swing.

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