I Know Everything

Shen Huan is a person who does what he says.

The next day was Sunday, early in the morning, he wrote an article on the Taniyama-Shimura Conjecture.

Dear Professor Deville, I am a high school student who loves mathematics. I have some novel ideas about the famous 'Fermat's Last Theorem', and I would like your advice...

Deville is a professor of mathematics at the famous Princeton University in the United States. In the field of mathematics, he is famous for his obsession with Fermat's last theorem.

Shen Huan may not attract attention if he finds someone else, but if he finds this professor who has been struggling with Fermat's Last Theorem all his life, it is very likely that he will be taken seriously.

Except for greetings and a simple opening remark, Shen Huan has two versions in Chinese and English in his mind for the rest of the text about Taniyama-Shimura Conjecture, so it is not difficult to write at all.

While writing, Shen Huan also sighed, it is rare for the good master to have a convulsion, and he gave himself such a big benefit on such a question of giving points.

If you have made outstanding contributions in proving Fermat's Last Theorem, then in the mathematics world, you are a well-deserved genius.

Even if I don't have any achievements after that, just relying on this point, I can be engraved on the crown of mathematics.

Shen Huan didn't have such big ideals either.

I can participate in the proof of Fermat's Last Theorem. You, the three famous schools in Huaguo, are you embarrassed not to send me an invitation letter for admission without examination?

How wonderful it is to be able to perfectly avoid the college entrance examination, get into a top-notch prestigious university, and embark on the right path to the pinnacle of life! ?

That is to say, Shen Huan didn't like to leave Huaguo, otherwise the famous universities in the world would definitely be happy to study with the famous mathematician Mr. Shen.

Moreover, it was not a university at the beginning, and the invitation letter for doctoral students was missing. Isn't this an insult to those great mathematicians who have stepped forward for Fermat's Last Theorem?

Ha ha ha ha!

After happily typing the last word, Shen Huan chose send email.

Another reason why DeVille was chosen is that he disclosed a mailbox dedicated to accepting some discussions about Fermat's Last Theorem. Shen Huan is the biggest mathematician who can find a public mailbox.

...

Naturally, it is impossible for him to take care of Deville's mailbox, but his assistant.

In order to prevent the assistant from missing any useful information, Deville told him that as long as it is not a mess of irrelevant content, no matter how absurd the mathematical reasoning, no matter who writes it, it must be printed and shown to him.

According to DeVille's schedule, the assistant will print out the email every other day or a few days for DeVille to read after lunch.

DeVere reads the emails very quickly.

He has a very smart brain and has done in-depth research on many aspects of Fermat's Last Theorem, so he can tell at a glance whether it is useful or not for opinions, conjectures, etc. written by others.

Over the years, he has received tens of thousands of letters about Fermat's Last Theorem, but unfortunately, none of them are reliable or correct.

But DeVille never gave up, and still spends time reading these emails for decades, because he doesn't know whether a sentence from others will suddenly inspire him.

When he was eating today, he was sitting opposite Professor Kustav of Physics. The assistant delivered the mail and put it on the table. DeVille did not read it first, but continued to chat with Kustav. Have a meal.

Unfortunately, a white-haired old man hurried past suddenly, and as a result, his hand swung, touched the mail printouts on the table, and spilled them all over the floor.

But the white-haired old man didn't notice it at all, and walked out of the cafeteria as fast as he could.

This old guy is really as frizzy as ever! DeVille smiled wryly, without hesitation, he left the table and bent down to pick up the mail printing paper.

As long as he thinks of something, he will always be like this, there is no way. Kustaf smiled and picked up these mail printouts with him, I said you are the same, after all these years, it is useless to look at these s things!

It can't be said that it is useless. What if the geniuses in the world suddenly have a burst of inspiration and give me inspiration? DeVille said firmly.

How can a world-class problem be solved by an unknown person... eh? Kustaf suddenly laughed.

What's wrong? Deviel asked puzzled.

Haha, a high school student actually came to write you a letter. Kustav pulled out this one, A high school student can study 'Fermat's Last Theorem'? Old friend, look at your mailbox. How far has it fallen?

Deville took the printing paper casually, and glanced at the words on it.

Dear Professor DeVille, I am...

Um!?

Seeing the words in the second paragraph, Deville was taken aback.

Then he maintained this stooped posture, motionless.

Scientists, there must be times when they are fascinated.

Kustaf was not surprised that his old friend would suddenly be like this, but he was very surprised at the timing of this state.

Could it be that high school students can inspire him?

Deville's face was gloomy and uncertain, but his eyes were fixed on the mail typed paper, but his body remained motionless.

After a while, Deville turned around and ran away without any warning.

The running speed was even faster than the white-haired old man just now.

Now Kustaf has no doubts, he must have been greatly enlightened, otherwise Deville would not be so gaffe.

Thinking that his teasing would be slapped in the face, Kustaf also felt a little funny.

Could it be that there are really more and more geniuses in this world?

High school students!

Fermat's last theorem ah! !

...

boom!

After returning to the research room assigned to him, Deville directly closed the door of his own office inside.

Seeing him in such a hurry, several assistants looked at each other.

Is there anything special about the mail you brought to your husband today? one person asked.

No. The assistant who sent the email just now said, It's all a mess of ideas... Oh, by the way, there is also a high school student who put forward a conjecture of his own, hahaha!

The others also laughed.

They have been following DeVille for some years, and they cannot be said to be very proficient in Fermat's Last Theorem, but they can understand it clearly inside and out.

This is a super difficult problem that has stumped thousands of mathematicians for hundreds of years. How can it be possible that a high school student can do some research?

Also put forward conjectures...

Who does he think he is! ?

They were laughing outside, but Deville inside was excited and nervous.

DeVille first wrote on the blackboard in the office that elliptic curves over the field of rational numbers are all modular curves.

Then he wrote a second sentence.

If my conjecture can be proved, then any counterexample of 'Fermat's Last Theorem' will lead to a non-modular elliptic curve, which in turn proves that 'Fermat's Last Theorem' is correct.

These two sentences are the most classic and important two sentences in this letter.

Looking at the above two sentences, which seem simple but contain very profound truths, Deville's thoughts are spinning rapidly.

Before long, he felt a little tired and dizzy.

This is a case of overuse of the brain!

He stopped quickly, drank a glass of water first, then took a deep breath and opened the office door.

Cohen, hurry up and ask Professor Andre, Professor Robert, Professor Corrider, and Professor Benny to come here! Hurry up! He shouted to the outside.

Several assistants outside were taken aback.

But they immediately agreed and flew out.

They have never seen Professor Deville like this, but as long as he appears, it means that something big is about to happen! !

At this time, Deville and his assistants were not actually in the United States, but in the Newton Institute of Mathematical Sciences of Cambridge University in Cambridgeshire, England.

The world's most famous comprehensive research institute is actually a place where visiting professors gather together to discuss research.

It can discuss some pure academics, and it can also discuss some science and technology used in people's lives.

But no matter which one it is, it is the embodiment of the crystallization of human wisdom.

Those who can participate in this are all top figures in every natural science discipline.

DeVille was suddenly glad that he came to the Newton Institute of Mathematical Sciences.

If not, how could he find so many super mathematical geniuses in the first place to accompany him to verify this great conjecture?

Yes.

Deville has already made a preliminary judgment, and this conjecture is connected with elliptic curves. Using this method to deduce Fermat's Last Theorem may be a brand new direction.

Moreover, this direction has gone beyond the usual algebraic curve mode and replaced it with a new way of thinking.

Mathematicians know that when one road is not clear, there must be another road waiting for them, it just depends on who takes the first step on this road.

Now the conjecture of this email, in DeVere's view, is a new step.

Regardless of whether this conjecture can be proved to be correct or not, we can work hard in this direction and use elliptic curves and reverse deduction to make further proofs.

This will have an extremely positive and eager impact on the Fermat's Last Theorem that has been silent for a long time!

It's unimaginable!

a high school student.

It's still a high school student from Huaguo who can think about such a profound and abstract question.

How many years have there been no such geniuses in Europe and America?

I really can't wait to invite him over immediately and let him share his wisdom and thinking with myself and others! !

But not yet!

At least myself and my friends can reply only if he proves that his conjecture is worth discussing and proving.

Otherwise, it would be too rash, and it would be a great disrespect to this great genius mathematician!