"Oh, strange, you've finally solved the Hodge conjecture?" Faltins looked very interested.

"I knew you could. Director Peverman said.

"Let's get started. Deligne was succinct and to the point.

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

The report has a lot of content and is very long, although the report is aimed at the three Philippine Award winners, but Shen Qi tries to be as detailed as possible, after all, this report is brand new.

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

During the presentation, the three Filipino Award winners kept asking questions, and the most frequently asked question was about Shen Qi's special definition of "S-class feature surface".

Shen Qi had to repeatedly explain the relevant properties of the "S-class feature surface" and the derivation and proof process, and he had to make his proposal fully understood by the three Filipino laureates at Princeton and the Princeton Institute.

If even Déligne, Faltins, and Peverman couldn't understand Shen Qi's SL system, then there would be no need to open a math report for the general public, because it would be even more difficult for others to understand.

Theories that the vast majority of people cannot understand will not be officially recognized by the IMU.

Hodge's conjecture is one of the conditions for Shen Qi's math level to be promoted to level 15, if he is promoted to the full level, it doesn't matter, you like to understand it or not, my old Shen does what I love to do.

But now he hasn't 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 section finally made it clear to the three Filipino Award bigwigs, and it was ten o'clock in the evening.

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

Sending off the three bigwigs, only Shen Qi and Ralph were left in the conference room.

Ralph, who was in charge of serving tea, pouring water and handing coffee, took a long breath, and the four Filipino Award winners were in a closed conference room, which brought him more pressure.

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

"I'm familiar with the AG section, except for 'S-class feature surfaces'. But after Professor Shen, I understood it thoroughly, and I can only say, wow, wow, a genius idea of whimsy!" Most of the content in the AG section was completed by Ralph and Yu Lei, and after Shen Qi's post-refinement, it has been perfect.

"That's good, the AG section has you to do, Ralph. Shen Qi was relieved, Ralph represents the civilian class in the mathematical world, and everyone is really good.

Ralph: "So we're the fastest, right? I'm following the progress of the Schulz team in Germany, who haven't published the latest research 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 SL 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 SL system?" Shen Qi asked with concern, this is a very critical question.

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

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

"No, they won't, they're more stubborn than me. Deligne shrugged and headed for the conference room door.

"Hey, Professor Deligne, I'm not done with my presentation, the last part is to prove that the Hodge conjecture is a special case in SL. Shen Qi shouted at Deligne's back.

"Needless to prove to me, in my opinion, the SL system makes more sense than the Hodge conjecture. Deligne smiled back, waved his hand and walked away.

Shen Qi returned to the report and asked, "Director Peverman, Professor Faltins, would you like to listen to me finish the last part?"

"Listen, why not?"

"Go on, Strange. ”

The Golden Slam winner of the Fields Medal, the Wolf Medal, and the Abel Medal, Deligne, has a relatively high level, and he came with excitement and returned with great interest. Director Peverman and Professor Faltins are more down-to-earth, and they are itchy when they don't see the final ending.

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

“...... In summary, the Hodge conjecture was fully proven. Shen Qi ended his departmental report.

"It's unimaginable, but it makes sense. Faltins clapped his hands.

"The Department of Mathematics will immediately arrange a mathematics presentation for mathematicians from IMU and other research institutes to attend. Peverman said, looking excited and a little reluctant: "Strange, I said that you will always be the best alumni of Princeton, thank you for your contributions to Princeton for more than five years." ”

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

The Hodge conjecture has just been proven by Shen Qi and is about to be published in the world.

As colleagues know, the Hodge conjecture is Shen Qi's last gift to Princeton, and Shen Qi will announce to the world as a professor of mathematics at Princeton: The Hodge conjecture has been overcome.

A man wants to go home, and no one can keep him.

Everyone knows this truth, human nature.

Faltins said to Director Peverman, "Charles, there are so many best alumni and so on, should you give a special gift, like Professor Emeritus at Princeton?" ”

"The head of the department is unable to appoint an honorary professor, which requires a resolution of the school board. Director Peverman shook his head, indicating that his abilities were limited.

"But ......," said Feverman, who took a turn of the question, "there is no precedent in the history of modern mathematics for one man to solve two millennial problems in succession, and although I am not in a position to confer on you the title of Princeton Professor Emeritus, I have the right to propose it to the Board of Trustees." ”

"Hurry up, Charles, and in a few months you will step down as head of the department. "What Faltins means is the right not to be thundered by the sky.

"I'll propose it as soon as the public report is over. Peverman suddenly figured out a truth, if Princeton gave Shen Qi some thoughts, such as the title of honorary professor for life, then Shen Qi would have nothing to do with Princeton in his life: "Qi, you prepare, your public report on Hodge's conjecture will be held in a week at the earliest." I assure you that this will be the largest academic conference ever held at Princeton. ”

"Received!" Shen Qi rubbed his hands, and in order to ensure the effect of the meeting, he sent the essence version of the paper of the SL system and the proof of Hodge's conjecture to arVix.

The full text of the paper is 221 pages, and the condensed version is 103 pages. The Essence Edition was issued for two purposes, one was to claim that the team led by Professor Shen Qi of Princeton had taken the lead in completing the proof of the Hodge conjecture.

The second is to give the international mathematical community some advance time to preview the main content of this paper, so that everyone can know it in their hearts, so as not to get the report meeting is like listening to a book from heaven, which is very embarrassing.

Director Peverman posted a heroic post in the name of the Department of Mathematics of the University of Liberal Arts, inviting famous figures in the international mathematical community to Princeton to discuss important matters in the near future, and the organization of the conference was in full swing. ()

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