Peter Sanek asked Deligne, who was sitting next to him, "Pierre, do you know what Professor Pang has been working on lately?" ”

Deligne shook his head and said, "I don't know, he sent me a message early yesterday morning, saying that he suddenly had an inspiration, and I originally wanted to take him to visit the Institute for Advanced Study in Princeton over the weekend, but he politely declined." It is estimated that he stayed in the hotel yesterday for a day of research. ”

Peter Sanek laughed: "It is said that Professor Pang was chatting with Schultz at the awards dinner last year, and suddenly he had an inspiration, and then solved the ABC conjecture overnight. This time, a puzzle that would take him a day and a night to solve was probably not much weaker than the ABC conjecture. ”

Deligne nodded and said with a smile: "Since Professor Pang became famous, the mathematical world has become much more interesting than before. ”

Pang Xuelin ignored the disturbances from the audience.

He turned around and scribbled a series of characters directly on the blackboard behind him.

[Define two sets: {odd prime}={3,5,7,11...... ｝=P。 {Odd primes not greater than √2a+1}={3,5,7...... pb｝=Pb】

[Define the system of equations (1-1):(2×4)^2-1≡0(MODP01)(2×5)^2-1≡0(MODP02)(2×6)^2-1≡0(MODP03)...... （2a）^2-1≡0（MODP0（a-4+1））】

[Proposition 1: For any natural number greater than 10 a(a≥11,a∈N), the system of equations (1-1) has no positive integer solution. 】

……

Pang Xuelin's writing speed was very fast, and it took less than ten minutes to fill the first blackboard.

Fortunately, Princeton University was well prepared this time, and when the first blackboard was completed, a staff member immediately pushed the second blackboard up.

It is said that this is a lesson learned from the inadequacy of the blackboard at the Millennium Awards a year ago.

No matter which school Pang Xuelin goes to or which research institution to give a report, the organizer will prepare a large number of blackboards in advance, in case the big guy suddenly does not make a report according to the scheduled plan and chooses to enlarge the move, resulting in insufficient blackboards.

It's just that in the past year, most of the report meetings that Pang Xuelin has attended have been carried out step by step, so those organizers are basically self-inflicted.

Deligne didn't expect that the blackboard prepared by the organizers in advance would really come in handy for this Princeton report.

As Pang Xuelin's text filled the first blackboard, at this time, some people had begun to see the clues.

"Professor Pang, this is to prove ...... Twin prime conjecture? ”

Peter Sanek was a little surprised.

Deligne nodded with some emotion and said, "I'm afraid so!" ”

The twin prime conjecture is one of Hilbert's 23 questions, which is of great significance in number theory, and in a sense it is only slightly inferior to Goldbach's conjecture.

If the twin prime conjecture is then solved by Pang Xuelin, the Ponzi geometry theory, the BSD conjecture, the ABC conjecture, and the system of nonlinear partial differential equations are solved.

Then this kid is really going to be a god in the world of mathematics.

At the next International Congress of Mathematicians, a Fields Medal alone may not be enough to recognize Pang Xuelin's contribution to the mathematical community.

"Haha, what do I think of this? Let's give the directors of the International Union of Mathematicians a headache! ”

When Andrew Wiles proved Fermat's theorem, he was exactly forty-five years old, which was already past the maximum age of 40 years for the Fields Medal stipulated by the International Union of Mathematicians.

So the International Union of Mathematicians created a silver Fields Medal for Wildster in recognition of his contributions.

Perhaps two years later, at the International Congress of Mathematicians, the IMF should consider creating a special Fields medal for Pang Xuelin, the most unique in history.

Deligne chuckled inwardly.

Qi Xin sat under the stage, looking at Pang Xuelin on the stage with bright eyes.

Although he didn't know what Pang Xuelin wrote, listening to the exclamations and praises that sounded one after another in his ears, Qi Xin faintly felt a sense of honor.

For her, Pang Xuelin at this time is the most handsome.

Zhizi on the side looked at Pang Xuelin thoughtfully, and muttered to himself: "I didn't expect that he really found a breakthrough from that paper, perhaps, if you follow him all the time, you will have unexpected gains in the future." ”

Qi Xin turned his head, looked at Zhizi with some surprise, and said, "Sister Zhi, what were you talking about just now?" ”

Tomoko smiled: "I said that Professor Pang is so powerful, but I didn't expect to solve a problem that has plagued the mathematical community for many years." ”

"Of course! He's not great, who's great! ”

Qi Xin was a little proud.

Perhaps only such a man is qualified to make himself one of his many lovers!

Thinking of Pang Xuelin's rich emotional history, Qi Xin's mood suddenly became unbeautiful, and he couldn't help but spit out two words in his mouth: "Scumbag!" ”

Pang Xuelin didn't have time to pay attention to the disturbances from the audience at this time.

The tip of his pen kept flowing on the blackboard, writing on the blackboard the results of his previous work that he had spent a day and a night.

……

[When k is an algebraic number field, Weil's theorem in the previous paragraph can be improved into theorem 4.2.10: Let G be a typical group on k, and G is absolutely single-connected, then there are the following three cases.] 】

[(1) There is a central single k algebra A, which makes ...... (2) There is a single k algebra A, the center of A is the secondary expansion of k, and A has a second conjunction, I, so that ......]

[We can make the following three additions to the above situation: we know that for the quadratic expansion of any natural number n, and k, there must be a single k algebra A such that dimLA=n^2]

……

An hour later, the fifth blackboard was full, and Pang Xuelin's derivation of the water leakage silver slowed down.

Looking at the words on the blackboard, Pang Xuelin took a deep breath.

That's all for yesterday's deduction, and the next thing is to see your own on-the-spot performance.

[Let V be an n-dimensional algebraic cluster defined on the algebraic number field k, and P be a smooth point on V, then there is a local coordinate x1x2x3 in the open neighborhood U of P in V...... xn。 In this way, the nth differential form w on V can be written as ......] on U]

Pang Xuelin put away the chalk, stared blankly at the blackboard, and fell into deep thought.

Everyone in the audience obviously also noticed Pang Xuelin's strangeness, and for a while, everyone couldn't help but talk about it.

"Professor Pang should have deduced it here, although I didn't completely follow his train of thought in the front, but intuitively it shouldn't be a big problem, as for the back, ......"

Someone shook his head.

Peter Sanek said, "Pierre, do you think Professor Pang can complete the proof?" ”

Deligne smiled faintly: "I am not surprised by what kind of miracle this young man has created. ”

On the other side, Qi Xin asked Zhizi with some concern: "Sister Zhi, you are studying mathematics, junior brother should have no problem with him, right?" ”

Tomoko smiled: "What, worried about your little lover?" ”

"Sister Zhi......"

Qi Xin couldn't help but say in a long tone.

Zhizi laughed and said, "Don't worry, Professor Pang is much more powerful than you think!" ”

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