"Professor Shen, the great unification we understand is the kind of programmatic unification that can explain all mathematical problems with one system!" someone in the audience shouted.

"Maybe I used the wrong words, 'partial' and 'great unification' are contradictory, the meaning of the SL system should be 'phased unification', and I will revise the relevant wording in the report in the future. So let's not dwell on the small details of these words and phrases 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".

"Ninety percent of my report is about systems, and the last part is to prove that the Hodge conjecture belongs to the SL system, or that the SL system can completely explain the Hodge conjecture. ”

"The first part, Algebraic Geometry, is entitled 'AG Framework Principles'. ”

"The focus of this part is to add 'properties of S-class eigensurfaces' on the basis of classical algebraic geometry theories such as Bezou's theorem, Kasler's correspondence principle, and Cremona transform. ”

"What I want to say is that any system cannot be completely new, it will not be created out of nothing, they must be innovated on the shoulders of their predecessors and on the basis of classical theories......"

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

Ralph sat in a daze, looking at Shen Qi like a god, and unconsciously shed tears.

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

The first version of the "AG Framework Principles" was first published by Lei and Ralph according to Shen Qi's will.

After tinkering with the first version, Yu Lei and Ralph graduated with PhDs.

Later, after Shen Qi sublimated, the "AG framework principle" was presented to mathematicians all over the world.

Bang Bang Bang!

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

"The second part, the topology section, is titled 'TP Remodeling Principles'. ”

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

"If you are interested, you can test the Poincaré conjecture with the 'TP Remodeling Principle' in the SL system, which I can assure you is different from Mr. Perelman's work. ”

Director Wu's hands in the audience were trembling, and he deeply realized that the same weapon was completely different in the hands of different people.

Director Wu and his researchers in the process of conquering the topology section, no one thought so far-reaching, Shen Qi pointed out where they played, and as a result, they accidentally played a "phased unification".

In the morning report, Shen Qi finished talking about "AG Framework Principles" and "TP Remodeling Principles", and the audience was fascinated and hooked.

In the afternoon, Shen Qi continued with the third principle: "The third part, the mathematical analysis section, is called 'AN Standardization Principles' in the report. ”

The focus of this part is the new mathematical analysis and processing of the common singularity of plane curves and the common singularity of deflection lines in space, and the principle of positive standardization is established through reverse mathematical analysis and processing. ”

Lu Guozhen applauded, he was by no means a nursery, he was cheering for Shen Qi from the bottom of his heart.

The report materials are done by everyone together, but only Shen Qi has the ability to complete this work by integrating and combing and integrating them to form a systematic theory.

Moreover, Shen Qi's stage performance is a matter of course, and it is estimated that he will not be able to hold it if Lu Guozhen or Director Wu gives a speech on stage.

"Algebraic geometry, topology, mathematical analysis, the three principles finally came together to form the SL system, please look at the big screen. Shen Qi half-turned to look back at the screen, and all the guests stood up collectively, staring intently at the screen.

This page of PPT is presented in the form of animation, and Shen Qi explained synchronously: "It is difficult to describe high-dimensional situations with static graphics, and of course, dynamic models cannot describe them. But the dynamic model is more vivid, and what is on the screen is just a schematic, combined with my explanation, you can give full play to your imagination. ”

The curved surface of a page on the screen is extremely distorted, twisted to the extreme, but it presents a flat posture, which is not seen in real life.

Shen Qi: "This is the 'S-class feature surface', please pay attention to it." ”

The surface rotates around the origin, which is not theoretically centered.

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

A small sapling instantly develops into a vast forest, which is a mathematical forest, and its properties can be accurately described through the SL system, using algebraic expressions.

The guests were dazzled, but no one wanted to close their eyes.

Shen Qi said calmly: "This mathematical forest is composed of algebraic geometry, topology, and mathematical analysis, and it is about 700,000 algebraic expressions to fully describe the mathematical model shown in this page PPT, which theoretically can explain all the problems of algebraic geometry, topology, and mathematical analysis, and it is SL." ”

The guests were silent and did not dare to speak.

"Do you think this is all there is to mathematics?" Shen Qi raised his voice and answered to himself in a deafening voice: "No, no! We still need the last seed--- number theory! Algebraic geometry + topology + mathematical analysis + number theory, this is the real unification of mathematics, and when it comes, God will tremble." ”

I don't know if God is trembling, but many of the people present have begun to tremble, trembling with excitement.

"This animation is magical...... Lu Guozhen closed his eyes, he didn't dare to look at the screen.

"Today, what I am showing is only the results of the phased research, and the road ahead is still very long, or maybe not long. Shen Qi ended the animation playback and switched to the next PPT.

Call......

The audience made a strange breathing sound, extremely prostration, and extreme stimulation.

"Finally, look at this expression, which I call the S-type eigensurface (HC) expression, which represents another algebraic form of Hodge's conjecture. There is no doubt that in the SL system, H^2p(X,Q)alg=H^p,p(X)∩H^2p(X,Q), so the Hodge conjecture is a correct proposition. ”

"Thank you again to Princeton, Yan University, and Morningside Mathematics Center for their strong support for this project, thank you for your patient listening, thank you, my report is over!" Shen Qi bowed and thanked him, and left the venue through a special passage.

The guests were stunned for a minute, and the lecture hall was as quiet as a tomb.

Suddenly, someone shouted at the top of his voice: "Professor Shen has succeeded, he has proved Hodge's conjecture!

It boiled and exploded, and all the guests in the lecture hall shouted and shouted, and the applause was thunderous.

"What about Professor Shen?" Suddenly, everyone found a problem, Professor Shen was gone, and he ran away after loading B.

"Professor Shen has changed his clothes, he will be back later. Someone said.

"No, he won't, let's go out and see the official news from the IMU in a few days. Lu Guozhen shook his head, you are all too young.

Shen Qi really didn't take the stage again, he had just said "Thank you, my report is finished", so listen to the report carefully and pay attention to details.

After Shen Qi's presentation, he provided the IMU with the original PDF electronic version of "Systematization and Hodge Conjecture", as well as a printed version.

The IMU immediately summoned hundreds of math experts to delve into Systematization and the Hodge Conjecture.

Princeton provided the venue and all logistical services, and the IMU validation took place on campus.

Two weeks later, the IMU officially announced:

"Professor Shen Qi proved Hodge's conjecture, and more importantly, Shen Qi's team has established a system, namely the 'Shen-Lu-Wu System' (SL), if you want to read the relevant papers, please go to link XXX. Thanks to the great contribution made by Shen Qi's team, we have reason to believe that a new era of mathematics is coming. ”()

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