I just want to be a quiet scholar

Chapter 379 Phased Results
"Professor Shen, the grand unification we understand is the kind of programmatic grand unification that can explain all mathematical problems with one system!" Someone shouted from the audience.

"Maybe I used the wrong word. 'Partial' and 'unification' are contradictory. The meaning of the SLW system should be 'period unification'. I will modify the relevant wording in the report later. So let's not get entangled in these words for the time being." Just look at the content." After Shen Qi stabilized the situation, he entered the main text of "Systematization and Hodge's Conjecture".

"In this report of mine, 90.00% of the content is about the system, and the last part is to prove that the Hodge conjecture belongs to the SLW system, or that the SLW system can completely explain the Hodge conjecture."

"The first part, Algebraic Geometry section, is called 'AG Framework Principles' in the report."

"The focus of this part is on the basis of classic algebraic geometry theories such as Bezou's theorem, Cassler's correspondence principle, and Cremona transformation, adding the 'properties of characteristic surfaces of class S'."

"What I want to say is that any system cannot be completely new and cannot be created out of nothing. They must be innovated on the shoulders of their predecessors and on the basis of classic theories..."

Shen Qi first explained the most complex and innovative AG section.

Ralph sat in a daze, looked at Shen Qi as if he was looking at God, and unknowingly shed tears.

Yu Lei came back here shortly after leaving Princeton, his expression was similar to that of Ralph, and Shen Qi was a god in his heart.

According to Shen Qi's will, Lei and Ralph bit the bullet and worked out a first edition of "AG Framework Principles".

After working out the first edition, Yu Lei and Ralph graduated with Ph.D.

Sublimated by Shen Qi, the "AG Framework Principles" were presented to mathematicians all over the world.

clap clap clap!
Applause sounded from time to time, and Shen Qi's report was interrupted more than once by the enthusiastic applause of the guests.

"Part II, Topology Section, titled 'TP Reshaping Principles' within the report."

"The focus of this part is to reshape the space theory based on the eight standard models of Thurston's geometric conjecture, and the newly generated algebraic closed-chain space is more fault-tolerant."

"If you are interested, you can use the 'TP reshaping principle' in the SLW system to verify the Poincaré conjecture. I can guarantee that this is different from Mr. Perelman's work."

Director Wu's hands were trembling in the audience. He deeply realized that the power of the same weapon is completely different in the hands of different people.

In the process of Director Wu and his researchers conquering the topology section, no one thought so far-reaching. Shen Qi pointed out that they were fighting, and they accidentally hit a "staged unification".

In the morning report, Shen Qi finished his speech on "AG Framework Principles" and "TP Reshaping Principles", and all the guests were mesmerized and hooked.

The report continued in the afternoon, and Shen Qi talked about the third principle: "The third part, the mathematical analysis section, is called 'AN Standardization Principle' in the report."

"The focus of this part is the new mathematical analysis and processing of the ordinary singularity of the plane curve and the ordinary singularity of the torsion line in space. The special case is used to deduce the overall situation, and the forward standardization principle is established through reverse mathematical analysis and processing."

Lu Guozhen applauded, he was definitely not a child care worker, he applauded Shen Qi from the bottom of his heart.

The materials for the report were made by everyone, but only Shen Qi was able to complete the work of integrating, combing and mastering to form a systematic theory.

Moreover, Shen Qi's performance on stage came naturally. If Lu Guozhen or Director Wu were to give a speech on stage, he probably wouldn't be able to hold it.

"Algebraic geometry, topology, and mathematical analysis, the three principles are finally combined to form the SLW system. Please look at the big screen." Shen Qi half-turned and looked back at the screen. All the guests stood up and stared at the screen intently.

This page of PPT is presented in the form of animation, and Shen Qi explained simultaneously: "Static graphics are difficult to describe high-dimensional situations. Of course, dynamic models cannot describe them either. But dynamic models are more vivid, and what is on the screen is just a hint. Combined with my explanation, Everyone can use their imaginations.”

A curved surface on the screen is extremely distorted, and it is distorted to the extreme but presents a flat posture, which cannot be seen in real life.

Shen Qi: "This is the 'S-class characteristic surface', please observe carefully."

The surface is constantly rotating around the origin, which is not at the theoretical center.

All of a sudden, new distorted surfaces are generated, they are twisted to the extreme and cover the complex plane, one page, two pages, N pages, they rotate around the origin in an irregular way, more and more, faster and faster.

A small sapling develops into a vast forest in an instant. This is a mathematical forest. Through the SLW system, their properties can be accurately described using algebraic expressions.

The guests' eyes were dazzled, but no one was willing to close their eyes.

Shen Qi said calmly: "This mathematical forest is composed of algebraic geometry, topology, and mathematical analysis. To fully describe the mathematical model shown in this PPT page, about 70 algebraic expressions are needed. In theory, it can explain the algebraic All problems of geometry, topology, mathematical analysis, it's SLW."

The guests were silent and did not dare to speak.

"Do you think this is what mathematics is all about?" Shen Qi raised his voice, and asked himself deafeningly: "No, no! We still need the last seed --- number theory! Algebraic geometry + topology + mathematical analysis + number theory, This is the true unity of mathematics, and when it comes, the gods tremble."

I don’t know if God trembled, but many people present have already started trembling, trembling with excitement.

"This animation is magical..." Lu Guozhen closed his eyes, not daring to look at the screen anymore.

"Today, what I'm showing is only phased research results. There is still a long way to go, and maybe not so long." Shen Qi ended the animation and switched to the next page of PPT.

call……

There was a strange breathing sound in the audience, extremely exhausted and extremely stimulated.

"The last part, please look at this expression, which I call the S-class characteristic surface (HC) expression, which represents another algebraic form of Hodge's conjecture. There is no doubt that in the SLW system, H^2p ( X, Q) alg=H^p, p(X)∩H^2p(X, Q), so Hodge’s conjecture is a correct proposition.”

"Thanks again to Princeton, Yanda and Morningside Mathematics Center for their strong support for this project, and to all the guests for their patience in listening. Thank you, my report is over!" Shen Qi bowed his thanks and left the venue through a special passage.

All the guests were stunned for a full minute, and the report hall was as quiet as a grave.

Suddenly someone shouted loudly: "Professor Shen has succeeded, he has proved Hodge's conjecture! Such a wonderful speech, God will tremble for it!"

It boiled and exploded, and all the guests in the report hall shouted and applauded.

"Where is Professor Shen?" Suddenly, everyone found a problem, Professor Shen disappeared, and ran away after pretending to be B.

"Professor Shen has gone to change clothes, he will return later." Someone said.

"No, he won't. Let's leave the show and watch the official IMU news in a few days." Lu Guozhen shook his head, you guys are all too young.

Sure enough, Shen Qi did not appear on the stage again. He had just said "Thank you, my report is over", so listen to the report carefully and pay attention to the details.

After Shen Qi's symposium, he provided IMU with the PDF version of "Systematization and the Hodge Conjecture" and the printed version.

IMU immediately convened hundreds of mathematics experts to discuss "Systematization and Hodge Conjecture" in depth.

Princeton provides the site and all logistical services, and the verification of IMU is carried out on the Princeton campus.

Two weeks later, the IMU officially announced:

"Professor Shen Qi proved Hodge's conjecture. More importantly, Shen Qi's team established a system, namely the 'Shen-Lu-Wu System' (SLW). If you want to read related papers, please enter the link XXX. Thanks With the great contributions made by Shen Qi's team, we have reason to believe that a new era of mathematics is coming."

(End of this chapter)