Scholar’s Advanced Technological System

There may be a distinction between academic conjecture and mathematical conjecture, but it is difficult to measure the difficulty of a conjecture with a certain criterion.

After all, what is not proven to be true at all, how to measure its difficulty?

This in itself is a pseudo logic.

However, it is not impossible to classify mathematics conjectures and mathematical conjectures.

If you ignore all the non-academic factors such as political significance, economic significance, and news rendering, and only talk about the academic value of "the mathematics world today", then thousands of mathematical conjectures can be roughly divided into several steps.

The first step is undoubtedly the millennial problem of Riemann's conjecture, NP complete problem, Yang-Mills norm field existence and mass interval hypothesis, the so-called seven major mathematical problems in the world, and Hilbert's 23 questions. Some of the questions and so on.

Once these conjectures are proved, they will not only promote the development of the mathematics community, but also have far-reaching effects on other disciplines.

The second step is naturally the most well-known three major mathematical problems in modern times, Goldbach's conjecture, four-color problem, and Fermat's theorem. Two of them have been resolved, and the remaining Mr. Chen has already achieved "1+2". In addition, some of the questions in the Langlands program and some of the questions in the Hilbert 23 question can also be listed here.

In the third step, the distinction between this level of conjecture and the second step is not obvious, and it involves subjective opinions, and there may be major differences. In its typical case, the Jacobian conjecture can be counted in this column.

Proof of this level of problems, not far from the Fields Medal, at least can also be nominated ... of course, the premise is under the age of forty.

As for the fourth step, Zhou’s conjecture can be counted in this column. The sub-problems of all the one-two-three-step problems, or the “weak conjectures” of a certain conjecture, can also be put in.

The fifth step is even more, some unpopular cold-street branches, a speculation by a little-known mathematician, and all the guesses that are not up to the fourth step can be included in this step.

According to this grading method, the Polignac conjecture can be counted in the third step, and the twin prime guess is considered to be the "K=1 special form" of the Polignac conjecture, but considering that the academic value is higher than "the right The study of the distribution law of the Mersenne prime number (Zhou's conjecture), so between the third step and the fourth step, and infinitely close to the third step side!

Regardless of the final result, with this outstanding contribution, the 18-year Fields Medal nomination, Lu Zhou must be stable. His biggest competitor, probably the 13-year Rama Nuojin winner, "German **** of learning" Peter Schultz, is said to be challenging the famous weight-monodromy conjecture, the progress is unknown.

Of course, the study of mathematical conjecture is only part of the theoretical mathematics study, not all. Many people have never proved any major mathematical conjectures in their lifetime, but they do not hinder his contribution to the entire mathematics community.

For example, the old Mr. Grottendick who laid the foundation of modern algebraic geometry and completely changed the face of functional analysis, these two contributions alone, I am afraid that any mathematical conjecture can not be compared. After all, many of today's mathematical conjectures are based on his "probability theory."

There is still a long way to go to climb the peak of mathematics.

The proof of the prime number conjecture is only a small step to the Everest.

Lu Zhou profoundly understands that his research results are only answers to some of Hilbert's eighth questions.

Although his heart was excited and excited, the heart was about to jump out of the chest, but there was no expansion above it.

The more you know about the world, the more things you have in your head, the more you can feel your own smallness.

In fact, Lu Zhou is not very clear, at this moment, what is the real feeling in his heart. However, no matter how he thinks, one thing is certain is that his name is on fire in Princeton.

Everyone knows.

At the report yesterday, there was a young man from Asia who killed a world-class mathematical conjecture in front of all the audience in the audience.

......

Shaking his groggy head and climbing up from the bed.

Pushing open the door of the bathroom, sitting in the bathtub and taking a hot bath, replacing it with a new boat, standing in front of the mirror.

Yes, Not Bad.

Still as handsome as ever, unfortunately there is no meat.

Hey, how to eat this is not fat, it is really nerve-racking.

The mirror was enough, and the boat went to the edge of the window and opened the curtains that had not been opened for a long time.

This feeling, he slept very comfortably.

This is probably the most comfortable night of his stay in North America.

However, looking at the sky outside the window seems to have changed nothing.

If you don't feel that your mental state is good, you can't doubt that you have slept before...

Lu Zhou’s face suddenly changed.

Wait, what time is it?

I saw the time on my mobile phone, it’s already half past three!

I thought that there was still a closing ceremony waiting for myself. Lu Zhou did not say that he ran to the porch to put on his shoes and rushed out of the door.

I got off the elevator and walked through the hall. I didn't see anyone except the hotel's waiter.

There was an ominous premonition in my heart. I ran to the door of the boat and accidentally bumped into a white brother who looked down at the phone. I didn’t have time to explain it. When I threw the sentence “sorry”, he immediately asked: “Now is the first day of the academic conference?”

The little brother said with dissatisfaction: "The sixth day, man, take care!"

so close!

Lu Zhou sighed.

It seems that this closing ceremony has not been missed.

But think about it too, even if he bursts into the liver for a few nights, it is impossible to sleep for two days and two nights.

At this moment, the white brother stared at Lu Zhou for a long time, suddenly returned to his eyes, his eyes widened: "Wait, you... is it a halogen elbow?"

Lying in the trough?

Lu Zhou almost sprayed him a face.

MMP! Still want to give me the halogen!

Enough!

Looking at the phone, it may be confirmed from Twitter, the white brother suddenly brightened his eyes and pulled the boat away.

"Hey, listen, you let my graduation thesis scrapped. What do you guess about my thesis? I cleverly searched for a lambda function that proved that there are infinitely many differences in prime numbers that are less than 242, will be 2 The gap to 246 has been shortened by one step! And just yesterday, you not only killed the hen that only lays golden eggs, but also let me study the results of two months!"

Lu Zhou didn't know what to say, just looked at the American cockroach with the look of a neurotic, and was always ready to wave to the security guard next door.

Fortunately, this little brother did not make any radical moves, just took him a meal.

"...damn it, but it's beautiful! I guess this is the proof method, using the method of topology...but I didn't expect the sieve method to be used like this. Know it, my name is Carist, drink it together at night. A cup? Look at the part that you let me delay graduation. This wine is owed to me anyway, feed, don't run, hey!"

Lu Zhoutou did not return, and ran steadily.

......

In the auditorium, the crowds are moving.

The closing ceremony is about to begin, but it feels that people are not as much as they were at the beginning.

Lu Zhou remembers that he heard that Luo Shixiong said that many people attending academic conferences will not be honest until the end. Many people have finished their own reports, listened to the lectures they want to listen to, or talked about the objects of like-mindedness. Going out to the world.

Lu Zhou looked around, did not find Luo brother, but saw an unexpected person, the Indian brother named Di Jean.

Surprisingly, this product has not gone yet?

Is the pressure resistance so strong?

Paying attention to Lu Zhou’s line of sight, the Indian brother did not say anything, but responded to a resentful curry-like white eye and looked at him and ignored him.

Lu Zhou made a helpless expression.

If he cites unpublished research results, he will be a little squat, but this... this pot can't reach his head.

The closing ceremony began.

The hall was quiet soon.

After a while, an old man who looked unreliable, carrying a black cane, walked slowly to the stage.

Francis, president of the Federal Mathematical Society, is also a member of the International Union of Mathematicians.

The reason why he doesn't look very reliable, because his slow movements always make people worry whether he will suddenly fall asleep when he speaks, or fall when he goes up the stairs.

"Under the introduction, Francis, there is nothing else to introduce... Anymore, the boys should be impatient, let us start directly." The old man smiled and said.

The people in the audience also smiled in good faith and sent applause from encouragement.

The old man pushed his glasses and turned the speech to a page.

"First of all, I am very grateful to all of you for participating in this mathematics exchange meeting. I am also very grateful to the companies such as Parker, Amazon Group, etc. No matter how noble the business is, without the help of good people, our business can't move forward... ”

"...In the face of a great cause, the work we do is the same, regardless of whether it is a mistake, even if your conclusions are temporarily wrong, even if you have been vehemently refuted, it does not mean that you are not good enough. On the contrary, you are more courageous and talented than the 99% of the world. I hope that you will see your energetic young boys at this time next year... Of course, the same old man as me is welcome, always welcome."

"There is still a party at night..."

"Yes, the most crucial thing has almost forgotten." The old man pushed his glasses and smiled apologetically. He cleared his throat and continued, "The best youth reporter of this academic exchange meeting will receive The $10,000 prize sponsored by the Amazon Group and the certificate issued by the Federal Mathematical Society... The winner is Lu Zhou. It seems that there is no suspense? I don’t want to sell it if I think about it."

The crutches slammed the eucalyptus floor, and Mr. Francis raised his spirits and said to everyone who looked forward to the audience.

"So, have fun!"

"In addition, the champion belongs to the Philadelphia Eagles!" (Super Bowl)

The young people under the stage whistled.

In the thunderous applause and relaxed atmosphere, this academic conference came to a successful conclusion.