Scholar’s Advanced Technological System

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

After all, how can one measure the difficulty of something that has not been proven to be true at all?

This is itself a pseudo-logic.

However, it is not impossible to assign a level between mathematical conjecture and mathematical conjecture.

If all non-academic factors such as political significance, economic significance, news rendering, etc. are talked about, and only the academic value of "to today's mathematical community", then thousands of mathematical conjectures can be roughly divided into several steps.

The first step is undoubtedly the millennial problem, such as the Riemann conjecture, the NP complete problem, the existence of the Young-Mills gauge field, and the mass interval assumption, the so-called Seven Major Mathematical Problems in the World, Part of the problem and so on.

Once these conjectures are proved, it will not only promote the development of the mathematical community, but also have a profound impact on other subject areas.

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

The third rung, the distinction between this level of conjecture and the second rung is actually not obvious, and it involves subjective opinions, and there may be large differences. Taking its typical form, Jacobi's conjecture can be counted in this column.

At the same time, it proves that this level of problem is not far from the Fields Award, at least it can be nominated ... Of course, provided that it is under 40 years old.

As for the fourth rung, Zhou's conjecture can be counted in this column, and all sub-questions of the one-two-three rung problems, or the "weak conjecture" of a certain conjecture, can also be stuffed.

The fifth step is even more. Some unpopular branches, the conjectures of an unknown mathematician, all the conjectures that cannot reach the fourth step, can be included in this step.

If this classification method is used, Polignac's conjecture can be counted as the third order, and the twin prime conjecture can be regarded as the "K = 1 special form" of Polignac's conjecture. The study of the distribution of Mason prime numbers (Zhou's conjecture) ", so it is between the third and fourth steps, and infinitely close to the side of the third step!

Regardless of the final result, with this outstanding contribution, the 18-year Fields Award nomination, Lu Zhou must be stable. And his biggest competitor is probably the 13-year Ramanu Gold Prize winner, "German scholar" Peter Schultz, it is said that he is challenging the famous weight-monodromy conjecture, the progress is unknown.

Of course, the study of mathematical conjecture is only part of the theoretical mathematical research, but not all. Many people have not proved any major mathematical conjectures in their lifetime, but this does not prevent his contribution to the entire mathematical community.

For example, Mr. Grothendieck, who has laid the foundation of modern algebraic geometry and completely changed the face of functional analysis, is simply unable to match any of these mathematical conjectures. After all, many mathematical conjectures today are based on his "probability theory".

Climbing the peak of mathematics, there is still a long way to go.

The proof of the twin prime conjecture is just a small step to Everest.

Lu Zhou is deeply aware that the results of his research are only answers to some of the questions in Hilbert's 8th question.

虽然 Although his heart was excited, his heart was about to jump out of his chest, but he didn't swell above it.

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

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

Everyone knows.

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

Uh ...

He shook his drowsy head and got up from the bed.

I opened the bathroom door, sat in the bathtub, took a hot bath, changed into a new boat, and stood in front of the mirror and took a picture.

Yes, Not Bad.

I am still handsome as always, but unfortunately there is no meat.

Hey, it ’s really nerve-wracking to eat something that does n’t make you fat.

Enough the mirror, Lu Zhou went to the window and opened the curtains that had not been opened for a long time.

At this moment, he slept extraordinarily comfortably.

This is probably the most comfortable time he has ever slept with in North America.

Just looking at the sky outside the window, nothing seems to change.

If it wasn't for the good state of mind, he would have doubted whether he had slept ...

Lu Zhou's face suddenly changed.

Wait, what time is it now?

I glanced at the time on my phone, it was half past three!

I thought there was a closing ceremony waiting for myself, Lu Zhou ran to the porch, put on his shoes, and rushed out the door.

He stepped down the elevator and walked through the lobby. No one except the hotel waiter was seen along the way.

I had an ominous hunch in my heart. I ran to the boat in the doorway and accidentally bumped into a white brother who looked down at the mobile phone. Too late to explain, throw a sentence "sorry", he immediately asked: "What day is the academic conference?"

The little brother said with dissatisfaction: "Sixth day, man, watch out for walking!"

so close!

Lu Zhou was relieved.

It seems that this closing ceremony was not missed.

I just think about it, even if he exploded for a few nights, he couldn't sleep for two days and two nights.

在 At this moment, the little white brother stared at the landing boat for a long time, then suddenly returned to his eyes, his eyes widened: "Wait, aren't you ... elbows?"

Recession?

Lu Lu almost sprayed his face.

MMP! I want to bite me!

I'm fierce enough!

I glanced at the phone, probably confirming the picture on Twitter, the little white brother blinked his eyes and pulled the landing boat to let go.

"Hey, listen, you have scrapped my graduation thesis. Guess what my thesis wrote? I cleverly searched for a lambda function and proved that there are infinitely many pairs of prime numbers that are less than 242. The gap to 246 has been shortened by another step! And just yesterday, not only did you kill the hen that only lays golden eggs, but it also made my research results for two months soaked! "

Lu Zhou didn't know what to say, but just looked at the Yankee with the same look as neuropathy, and was ready to wave to the security guard next to him.

Fortunately, the little brother did not make any radical actions, just pulled him to beep.

"... Damn, but it did a good job! I guess this is also the proof method, using the topology method ... But I didn't expect that the sieve method could be used like this. Meet me, my name is Carist, and I drink it together at night A glass? For the sake of delaying my graduation, you owe me this glass anyway. Hey, don't run, hey! "

Lu Zhou did not return his head, and decisively ran away.

Uh ...

In the auditorium, crowds of people moved.

The closing ceremony is about to begin, but I feel that there are not as many people at the beginning.

Lu Zhou remembers listening to Brother Luo saying that many people attending academic conferences will not be honest until the end. Many people have finished their reports, listened to the lectures they wanted to hear, or talked about like-minded people. Going out all over the world.

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

Amazing, this product hasn't left yet?

的 Is it so resistant to stress?

I noticed Lu Zhou's gaze. The Indian brother didn't say anything, but just responded with a grieving curry-type gaze and looked away and ignored him.

Lu Zhou made a helpless expression.

If he quotes the results of other people ’s unpublished research, he will feel a little guilty, but this ... this pot will not reach him.

The closing ceremony began.

The hall quickly quieted down.

After a while, an unreliable old man, holding a black cane, walked slowly to the podium.

Francis, President of the Federal Mathematical Society, and a member of the International Federation of Mathematicians.

He said he didn't look very reliable, because his slow movements always made him worry about whether he would fall asleep suddenly while talking, or fall when he went up the steps.

"Introducing myself, Francis, there is nothing else to introduce ... Going on, the boys should be impatient, let's start directly ~ www.readwn.com ~ The old man and Aunt smiled and said.

The people on the stage also smiled in good faith and gave encouraging applause.

The old man pushed his glasses, turned the page of the speech, and thought about it.

"First of all, thank you very much for participating in this mathematical exchange meeting, and also thank you for the sponsorship of Parker, Amazon Group, and other companies. No matter how lofty your cause is, we ca n’t move forward without good people ... "

"... In the face of a great cause, the work we do is the same. Regardless of whether you are high or low, even if your conclusion is temporarily wrong, even if you have been refuted fiercely, it does not mean that you are not good enough. On the contrary, you standing here are already more courageous and more talented than 99% of the people in the world. I hope that at this time next year, you will also see you young boys and girls who are full of energy ... Of course, a bad old man like me is welcome and always welcome. "

"There is a party at night ..."

"By the way, I almost forgot the most important thing." The old man pushed his glasses, smiled apologetically, cleared his throat, and continued. "The best young reporter for this academic exchange conference will receive The 10,000-dollar prize sponsored by the Amazon Group and the certificate issued by the Federal Mathematical Society ... the winner is Lu Zhou. There seems to be no suspense? I think about it and stop selling it. "

He walked on the wooden floor with a crutch, Mr. Francis lifted his spirits, and smiled at everyone who looked forward to the audience.

那么 "So, have fun!"

"Also, the championship belongs to the Philadelphia Eagles!" (Super Bowl)

The young man under the ring whistled.

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