Everyone present looked at Li Mu's very flat expression, and they didn't know what to say for a while.

Oh my God, that's a contradiction!

Although the contradictory conjecture is not well-known among ordinary people, and it has not been selected as one of the seven mathematical problems of the millennium, its fame in the entire mathematical community is not small.

After all, the popularity of the Langlands program in the mathematical community is not low, and as a unified law in mathematics, it is no less influential than the seven major problems of the millennium.

As an important part of the realization of one-half of the Langlands program, the significance of the mutual conjecture is naturally not covered.

Everyone present, you look at me, I look at you, and finally, they all looked at Li Mu again, and then sighed: "You are really still the same Li Mu!" ”

Who said that Li Mu hadn't made any achievements for nearly a year, but he was starting to mess up?

Laughing to death, although people haven't made any achievements for nearly a year, but now as soon as the results come out, they will be a king bomb.

What concept does the mutual conjecture create?

This is half of the Langlands program, and then half of it, and the functal conjecture is also proved, then the Langlands program is completed in its entirety, and their mathematical unification theory is officially completed.

Such results have to amaze the hearts of these mathematics professors.

And suddenly at this time, they also noticed the other four students in the office, and then they suddenly remembered that not long ago, three of the four students under Li Mu completed the Artin conjecture, and the other person solved a hot problem in the theory of dimensional forces, and demonstrated the relationship between the Higgs mechanism and the theory of dimensional forces, which caused a sensation in the physics community.

Fake.

Other students' students are so awesome.

It's really more people than people have to die, and goods have to be thrown away!

Regardless of how much help Li Mu gave to his students, just because his students dared to choose these topics as the direction, it was already a very commendable thing.

And now that the paper has been completed, and the names on the authors are also the names of these students, what else is there to say?

Of course, the news quickly spread throughout the academic community.

In other words, Li Mu's paper has just passed the review of ARXIV, and after it was published, the news has been known to many people.

In any case, Li Mu's publication of papers will always be a matter of attention.

If it was placed last year, once Li Mu published a paper, it would make people wonder, what kind of paper did this genius publish that could shake the academic world?

And now, people will think, what kind of paper will this super genius, who has been known as a bad year for a year, suddenly publish a paper?

Then, there was a shock that shook the entire mathematical community.

On the forum of mathoverflow, the atmosphere that was originally a little cold because there was nothing big in the mathematical world suddenly exploded again because of Li Mu's paper.

[Li Mu stated in his latest paper that he successfully proved the mutual inversion conjecture, what do you think? 】

The landlord posted, opening up the topic.

Then, naturally, it attracted a large number of melon-eating people, and of course, there were some bigwigs hidden in the masses.

For the ordinary people who eat melons, this news has triggered their various reveries.

[What do you think?] How else can you look at it, you must be sitting and watching]

[I'm really a god, doesn't it mean that Li Mu has run out of talent after winning the Nobel Prize? What about the contradictory conjecture that is suddenly proved now? 】

[Talent exhausted? Do you really think that talent is exhausted? 】

[Why not?] 】

[If other people will run out of talent, I can still believe it, but for Li Mu...... All in all, let's make a bet that Li Mu must still be secretly working on a big project! 】

[Tsk, isn't the mutual conjecture a big project? 】

[Maybe?] 】

[Friends, I take a great risk to tell you one thing, in fact, I traveled back from a hundred years later, in fact, Li Mu is an alien, his ultimate goal is to lure aliens to the earth, more than a hundred years later, aliens came, I used their time machine to shuttle back while they were not paying attention, you must!] @##@#】

What about the brothers? Captured by aliens? 】

[Tell me another dollar, hurry, I love to listen.] 】

[But one thing to say, is Li Mu really not an alien? ] 】

[Some people said that Einstein was an alien! 】

……

For ordinary melon-eating people, exploring whether Li Mu is an alien is probably the thing that interests them the most.

As for those bigwigs, they all discussed the mutual conjecture proved by Li Mu.

[Li Mu's proof process is still the same as it was back then, such a perfect proof process, I really can't find anything that may be problematic. 】

Who isn't? I never imagined that he would be able to come up with such a proof method. 】

[Perfect on-cohomology theory, perfect self-defense form, I can't believe that he can combine the two so beautifully, but I think this is also the fundamental reason why he was able to prove the contradictory conjecture.] 】

[Among his proofs, the use of this part of Motive theory is also a must, and I even doubt that he can prove Grothendieck's standard conjecture.] 】

[Motive Theory...... When the hell did he even delve into the Motive Theory so deeply, and was there anything he wouldn't? 】

【……】

The Ph.D. student in mathematics at a well-known university looked at the names of these commentators, and all of them were bigwigs in the mathematics field, which made him look shocked.

Good guys, what Peter Schultz, what Tao Zhexuan, what Wu Baozhu...... Even the big guy Faltins is there.

But what these big guys said, he still understands it word by word, but after this is connected, why does it have a feeling of being in the clouds?

Is this how another class of people chat?

Ah......h What are the bigwigs talking about? I know that the motive theory is an important idea of Grothendieck, but in Professor Li Mu's proof, there is also an application of this theory? Can you explain it to us weak chickens? 】

【Weak Chicken +1】

【Weak Chicken +2】

……

There are still a lot of weak chickens, although the worst of these weak chickens are all mathematics undergraduates at New York University.

So in the end, Tao Zhexuan, who still loves surfing the Internet the most, gave a simple summary.

[According to the generalization of the theoretical framework of self-defense representation in the Langlands program, it is possible to generalize the Artyn reciprocal law when we find an appropriate generalization of Dirichlet L-function. In the past, in this process, upper cohomology was a very good method, and in his proof of the reciprocal conjecture, Li Mu innovated a new method of upper cohomology - for the time being, we can call it Li's upper cohomology.

And this Li Shang cohomology can be linked to the Motive theory in thought, of course, in the application, it can also be linked, but it needs to be said that Motive may be an existence that can unify "arithmetic" and "geometry" at a deep level, so how far we are from it, no one knows for the time being, but what can be known now is that Li Mu has probably seen it.

That's all I can give to the comments, the difficulty of Li Mu's paper is not low at all, and I still need to read it carefully for a while before I can make a complete review, so everyone can barely take a look, if you can have a certain study of the motive theory, I believe that the understanding can be more in-depth. 】

With Tao Zhexuan's comment, it attracted comments from some people who knew a little bit about motive theory.

For those who don't understand the Motive theory, they also understand Tao Zhexuan's words from another perspective.

All in all, that's one word – hard!

After all, even Tao Zhexuan felt that the difficulty of this paper was not low, and this kind of big guy who could deduce the conclusion by looking at other papers just by looking at the abstract said so, and those ordinary students or scholars were not even more so.

In this way, the discussion became more and more heated, and mathematics scholars all over the world were waiting for the final conclusion of the mathematical community.

Of course, as usual, Li Mu did not discuss in the accident world and continued to do his things normally.

"Professor Li, thank you very much for trusting us again in the Annals of Mathematics and submitting your paper to us."

On the other side of the phone, came the voice of Peter Sanak, editor-in-chief of the Annals of Mathematics.

As for the reason why he specifically called Li Mu, it was naturally because Li Mu voted this paper to prove the mutual inversion conjecture to their "Annals of Mathematics".

Li Mu smiled and said, "Okay, Professor Sanak, we are all old friends, so there is no need to say so many polite words." ”

"Haha, of course, I'm also an editor-in-chief after all, so I'm going to be formal." "We will set up a team of the most authoritative audits, including Deligne, Faltins, Schultz, Homosan and others, and the date of the audit will last about one to two months," Sanak said. ”

"Okay, of course that's fine."

Li Mu said.

He was not surprised by such a review team, of course, after his other papers were submitted, he would usually form a high-level review team like this, and sometimes even a Fields Medal winner.

Without him, whoever asks him to submit papers can be called "historical", and the "Annals of Mathematics", as the journal to which it is submitted, must of course give a corresponding attitude.

He glanced at the review team, needless to say about the first few names, as usual, all Fields Medal winners, as for the one named Huo Mosan, it should be a master in the contemporary mathematical community in motive theory, although they did not win the Fields Medal, but in terms of motive theory alone, this is indeed an authoritative level.

In short, such an audit team is indeed worthy of contradictory conjectures.

"But then again, now, I'm actually curious, you suddenly sent us this paper, do you want us to put the paper of your students in advance?"

"Huh? What are you talking about? Why can't I understand? ”

"Hey, don't pretend, it's going to be like this." Sanak saw through Li Mu's tone and said: "You have proved the mutual conjecture, which is equivalent to proving the Ateen conjecture by the way." ”

"And then the papers of your three students that proved Artin's conjecture have just been accepted by us, and the copyright agreement has been signed, so don't their papers have to be published before your paper? You're so calculating. ”

One thing to say, Sanak has been an editor of the Annals of Mathematics for so many years, and he has never seen such an operation.

In order to get their students' papers published as soon as possible, they ended up writing a more bullish paper that forced them to publish their students' papers in advance.

Seeing that he had been recognized, Li Mu smiled and didn't pretend: "Actually, it's just a matter of the way, they just proved the Ating conjecture, and I just happened to prove the mutual conjecture, a coincidence." ”

"Yes, yes, it's a coincidence."

Sanak said angrily, of course, he didn't say anything else, after all, what can he say, this is all the strength of others.

"By the way, I'll tell you that your student's paper, we have also decided to put it in next month's issue, after all, the weight of Artin's conjecture is still very important, so you don't have to do such an amazing thing."

Li Mu smiled: "I said, it's all a coincidence, it's all a coincidence." ”

"Anyway, thank you, and I thank you on behalf of my students."

"It's okay, then I won't say more, I have to keep working."

“ok。”

Then, without further ado, they hung up the phone.

Li Mu smiled and shook his head, if he calculated, he would be able to apply for graduation for the three Alex at the beginning of next month, and of course, Yuan Siping.

However, the frequency of publication of the "Physical Review Letters" submitted by Yuan Siping is much faster than that of the "Annals of Mathematics", the former is a weekly journal, the latter is a bimonthly journal, and the former can publish more than ten or twenty papers in one issue, and the latter can have five papers in one issue.

That's the difference between physics and mathematics.

Therefore, there is a high probability that Yuan Siping's paper will also be in line, but as long as it is confirmed to be accepted, the queue should be relatively much faster.

Calculating the time, it is estimated that it will be published at the end of this month.

There is no need for him to write a whole article "On the Relationship between the Theory of Dimensional Forces and the Gauge Field".

In this way, time passed again, and just as Li Mu expected, Yuan Siping's papers and the papers of the other three people were published one after another.

Four students, two top journals, and in terms of results, it is not the kind of results that barely reach the top journal, but the kind of results that the top journals will probably compete to invite submissions.

Suddenly, the four people who were Li Mu's students all left a reputation in the academic world.

"Congratulations."

Walking into the office and looking at the four people who were celebrating each other, Li Mu smiled slightly and congratulated him.

"Professor!"

"Thank you, Professor!"

All four of them gathered around, full of gratitude.

"This is what you deserve for your hard work." Li Mu waved his hand and said, "I also hope that you can continue to work hard in the future." ”

"I have applied for graduation for you, and your results have met my graduation requirements."

"Also, as to where you want to go next, it is up to you to do so, I will not intervene, of course, I have gifts for you."

He then took out four letters from under his desk and handed them to the four men.

"This is my letter of recommendation to you, this letter of recommendation...... I'm not talking big, but I should be able to guarantee that you will go to any university in the world and continue your education, unless it's a women's college. ”

All four of them froze.

That's ...... Li Mu's letter of recommendation!

Li Mu's words are not exaggerated at all.

Yes, this letter is a ticket to any university!

(End of chapter)