Let alone solving this equal spectral problem, even if we follow the ideas of the two professors one step further, even with the combined efforts of the four of them, we cannot achieve it.

This attempt allowed them to see clearly that there are differences, no, gaps between people.

.....

After recovering from the shock, Roger Dean respectfully replied: "Professor Fefferman came here a few days ago, but you were not here."

Hearing what this senior disciple said, Xu Chuan was a little surprised and asked in surprise: "Has Professor Fefferman solved the equal spectrum problem?"

Roger Dean shook his head and said: "I don't know, Professor Fefferman didn't say this, but when he came over a few days ago, he told me that if you come back, please give him a call.

.”

Xu Chuan nodded and said, "I understand."

Taking out his cell phone from his pocket, Xu Chuan walked out of the office and dialed Fefferman.

The phone rang for a while before it was answered, and Fefferman's voice quickly came through: "Oh, Xu, are you finally willing to leave your villa?"

Xu Chuan smiled and asked, "How is your research progress?"

Fefferman: "I'm stuck somewhere and I'm trying to figure it out. What about you?"

After Xu Chuan finished speaking, before Xu Chuan could answer, Fefferman remembered something, and then asked hesitantly: "Have you already solved it?"

He recalled his previous communication with Deligne, who said that Xu Chuan habitually locked himself in the room alone when solving problems.

And every time he comes out, it proves that the problem he studied has already produced results.

Could it be that he has already solved the isometric isomorphism conjecture?

Xu Chuan nodded and said: "Well, it has been constructed using my method."

As soon as he finished speaking, a sound of "Pudong" came from the opposite side, as if the mobile phone had been dropped on the wooden table, but he grabbed it after a long time, and a furious voice came from inside.

"You are in the office now, I will be there right away."

...

Fefferman came over faster than Xu Chuan thought.

And he was not the only one who came over, Professor Deligne also came with him.

In fact, Fefferman was in Deligne's office just now, and the two were discussing how to solve the problems they encountered.

"Have you solved the isometric isomorphism conjecture? Where is the proof process? Have you brought it over?" Fefferman asked urgently.

"It's still in my villa. Do you want to go there together or let me get it?" Xu Chuan replied.

"Of course we'll go together." Fefferman said without hesitation.

.......

In the quiet villa, Xu Chuan handed the compiled proof process to Fefferman, who immediately took it and started reading it.

On the side, Deligne asked with interest: "Do you still have a copy?"

Xu Chuan shook his head and said, "I don't have a copy, but I still keep the original manuscript paper."

As he spoke, he dug out the original manuscript from the bookcase on the side and handed it to Deligne.

Although the neatness of the original manuscript is not as good as the organized proof process, there is still no problem in taking a look at the prover's thinking from inside.

In the quiet villa, time passed little by little.

Professor Fefferman was the first to put down the proof process in his hands and looked at Xu Chuan opposite, with a somewhat complicated look in his eyes.

Before coming, he was still thinking about whether he could find some flaws in the proof process to comfort himself.

But now it seems that he lost.

He lost to the boy in front of him who was forty-six years younger than him.

He did not find any loopholes in the paper, especially the step of constructing a stable closed Willmore hypersurface using Laplacian operator transformation, which made him couldn't help but admire it in his heart.

So subtle.

It’s as if mathematics was born this way.

However, he did not dwell on this. After all, the young man in front of him, regardless of his age, was not weaker than him in terms of mathematical ability, and could even be said to be better.

He did not solve the Seven Millennium Problems, nor did he become a lifelong researcher at the Institute for Advanced Study in Princeton at the age of twenty.

"A very excellent proof process, at least I didn't find any loopholes." Fefferman put down the manuscript paper in his hand, looked at Xu Chuan and continued: "Is your mathematical talent really exaggerated to this extent? It was solved in one and a half months.

this problem."

Xu Chuan grinned, pointed at the dark circles under his eyes, and said, "A month and a half? Maybe."

"Since this period of time, I have not slept more than six hours a day. Even if I include other time such as eating and running, it has not been more than ten hours. And for the remaining fourteen hours, I have been studying this

question."

Hearing this, Fefferman opened his mouth but stopped talking.
Chapter completed!