From Almighty Scholar to Chief Scientist

Chapter 110 A New Conjecture: Lin's Conjecture
Seeing Lin Xiaona's stopped pen and the way he was thinking, everyone was puzzled, what was he thinking?
As a result, the applause sounded quickly and stopped quickly.

People didn't bother Lin Xiao, just like they didn't disturb Lin Xiao just now when he was thinking about the question raised by Wiles.

However, people found that this time Lin Xiao seemed to think longer than before.

what happened?
1 minute passed, 2 minutes passed.

At this time, according to the time, the field report has already been full for an hour.

However, the staff next to him did not go up to disturb him, because not far away, Professor Wiana, the chairman of the organizing committee, stopped him.

Any genius-like inspiration is born in an instant.

As a bystander, what you can do is to give these geniuses more time and then believe him.

For Professor Wiana, he didn't trust Lin Xiao at the beginning, thinking that Lin Xiao was doing something, but after listening to this report, he has already changed his mind. Such a genius should never use Common sense to try to figure out.

In this way, about 5 minutes passed.

Everyone also waited quietly for 5 minutes.

At this time, Lin Xiao finally moved.

He took out his pen and started writing on the blackboard.

But with the appearance of his previous expressions, the gazes of Wiles and Deligne shrank.

Lin Xiao... also found out? !

"What is he doing?"

Professor Sanak next to him couldn't help asking at this time.

"This is the layer."

Deligne stared at Lin Xiao's steps closely: "Yes, that's it... This step, my God, he can think of such a transformation! It's actually a modular form!"

"Unbelievable."

Even Professor Andrew Wiles murmured, "Why didn't I think of it when I proved Fermat's Last Theorem?"

Deligne didn't bother to pay attention to Wiles' mention of Fermat's last theorem again.

He has already started to follow Lin Xiao's steps in his mind.

And he had no choice but to marvel.

Lin Xiao, on the other hand, didn't write much on the blackboard, only six simple lines.

But at this point, he put down his pen, and then he glanced at the last few lines quietly.

【…Otop(E)Otop(BT2)k(E[p∞])】

He took a long breath, then turned his head and faced all the audience again.

The audience off the field, either frowning, thinking about the steps on his blackboard, or looking blank, as if asking "what happened", and some people have fallen asleep.

However, Lin Xiao just smiled, looked at Professor Wiles again, and said, "Professor Wiles, I have solved your problem."

"However, when I listened to Professor Lahore's report on the geometry of the modulus space of curves yesterday, when I think about this question again, I got a result that surprised me."

"As you can see, I transformed ψ(S0) into this function layer through modular formalization."

"However, this is clearly a special case."

"Therefore, I have a guess now, as long as we generalize this special case, that is, deduce that it can be established in the form of k=1, then any function can be converted into the form of layers."

"Weil was eager to find the 'Rosetta Stone' between algebra and geometry. Today, his Rosetta Stone has become our geometric Langlands program, and in the process of studying it, 'layer' has become A wonderful way, and if we can convert any function to a layer, so I believe that the gap in the geometric Langlands program will be bridged by us a small but strong enough bridge."

"This is my vision for the future."

"So, the topic is a bit far away, that's it, then, does anyone have any questions?"

He smiled and looked around the auditorium, but he thought of Professor Wiles again, so he turned his head again, "Oh, by the way, sorry Professor Wiles, do you have any questions about my proof? "

At this moment, Professor Wiles in the audience was silent.

He quietly looked at the last six lines of formulas on the blackboard, recalling what Lin Xiao said just now, and then he said: "No, I am very satisfied with your answer."

"Thank you then." Lin Xiao nodded.

But at this time, Wiles said again: "However, the future Professor Lin, I think the conjecture you put forward is more attractive than this question. I proved Fermat..."

"Stop!"

Deligne really can't stand this kind of critical moment, and Wiles actually wants to talk about his glorious moment again, it's just as hateful as the novelist who writes the hydrology immediately before writing the critical point.

So he interrupted Wiles, stood up without using a microphone, and said directly: "This new guess you put forward has found a new direction for our algebraic geometry."

"In the past, we all thought that we couldn't convert all functions into layers naturally, only certain functions allowed us to do so, and we all know that when functions are converted into layers, they will carry these functional forms that cannot express A lot of information came out, and that information will help us a lot."

"Most of the functions in the Langlands program can be transformed into layers, but some of them cannot be transformed into layers. The guess you put forward will allow us to make a breakthrough in this part."

"This is definitely a very important proposal for modern algebraic geometry. It will open up the direction of our algebraic geometry and make greater contributions to unified mathematics."

"So, I would like to ask if you have any other thoughts on this issue?"

Lin Xiao looked at the professor. He didn't know who this professor was, but he seemed quite powerful.

He shook his head and said: "Sorry, as you can see, I just deduced this problem just now, and it's just a guess now. In addition, I don't have much research on algebraic geometry. If you let me If I solve it, there may be no way."

"Even if I have a brilliant way to prove it, there isn't much space left on this blackboard, so forget it."

Hearing Lin Xiao's words, everyone couldn't help laughing.

Is this a tribute to Fermat?
When Fermat proposed Fermat's last theorem, he wrote "I am sure I have discovered a wonderful proof method, but unfortunately the blank space here is too small to write", so this question stumped the mathematics circles. It took many years to be proved by Wiles.

Deligne also smiled, without any regrets, and said: "Then congratulations, young man, you not only solved a problem that has stumped the mathematics world for more than 2000 years for us today, but also helped us once again. The algebraic geometry community proposed a new goal, and this goal will probably be called Lin’s conjecture in the future.”

"On behalf of my teacher Grothendieck, and André Weil, I would like to thank you!"

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(End of this chapter)