God's Crown

"Conjectures about twin primes and their derivatives." After An Yan finished speaking, he looked around, but no one spoke, as if they were waiting for him to speak.Then he continued, "Let's talk about the twin primes first."

"I believe everyone has already read that paper, which is about the process of solving the twin prime number conjecture." An Yan said, holding a water-based pen and began to write on the blackboard——

(p, p+2k), k=1

6[6NM+（M-N）]-1=（6N+1）（6M-1）（NM两个非0自然数，N=〈M，下同）

…………

x==6NM+-(MN)

6x-1=q

…………

An Yan wrote on the blackboard, and the professor below made eye contact while looking at the writing on the blackboard.After a while, I wrote more and more.They nodded slightly, so far, they have not found anything wrong.This is enough to prove the correctness of An Yan's twin prime number conjecture, and now the IMU has announced that An Yan has solved the twin prime number conjecture.

He said that international mathematicians generally believed that An Yan had solved this conjecture. The bosses did not speak, and the students below naturally did not dare to speak.They quietly watched An Yan keep writing on the blackboard.Occasionally, some bosses would nod slightly, confirming that the writing on the blackboard written by An Yan was indeed correct.

It was written that An Yan sped up the speed again, "As we all know, the method needed to solve the twin prime number conjecture is the sieve method, and the sieve method can not only be used on the twin prime number conjecture. Goethe, one of the three major mathematical problems, Bach's conjecture also needs to be solved by using the sieve method."

The professors looked at the formulas An Yan wrote down on the blackboard, while also calculating on their own scratch paper.In fact, there is no doubt about this part. After all, if there is any doubt, it has already been raised.This academic report will mainly focus on the problems derived from the unraveling of the twin prime number conjecture.

After An Yan finished writing the twin prime number conjecture, he turned around, smiled at the professors and said, "Sorry, my writing is a bit simple, but do you have any questions?"

"No problem." The professor below sighed softly, seeing that more than half of the time had passed, but An Yan didn't seem to be in a hurry to talk about the derived problems after the twin prime number conjecture was solved.They were very interested in this question, but after An Yan put down his pen, he said with a smile, "The above is the answer to the twin prime number conjecture. Do you have any questions?"

As he spoke, he looked at everyone present, without any doubts.

No one spoke, and the scene was very quiet.What could be wrong with this? They have already seen it, and there is no problem.When thinking of this, someone said, "There should be no doubt about this part."

"Okay, then I'll start talking about the derivatives of the twin prime number conjecture." An Yan took a deep breath, and everyone's eyes were fixed on him, obviously.This is what everyone is waiting for, not the twin primes conjecture.

"When I was doing the twin prime number conjecture before, I found that using the sieve method to solve the twin prime number conjecture had some interesting things." An Yan wrote on the blackboard, and everyone's attention was on the blackboard.

Taking a deep breath, An Yan continued writing.And the bosses below frowned, looked at the formulas on the blackboard, and wondered in their hearts, how to solve what An Yan wrote down?

"That's the formula!" An Yan stopped writing and looked around. Everyone seemed to be very curious about An Yan's formula.

"How are you going to solve this formula?" The old man below looked at An Yan and said seriously, "This formula is indeed mathematically logical, but——I can't think of how you would treat it as a problem and how to solve it. "

An Yan didn't know who the boss who spoke was, but judging from the appearance of this boss, he should be a very prestigious boss in the mathematics world.

"I can't solve it yet, but I can ask precise questions." An Yan said, holding a pen and starting to write on the blackboard again, after writing for a while.An Yan stopped writing, and the people below asked, "This is—how did you come to this result?"

"Because it's recently been transferable between number theory and algebra."

"Pass the Langlands Program?" the man went on.

"That's right, through the Langlands Program." An Yan said with a smile, "Under the premise of the Langlands Program, we can obtain this result, and then use this result to convert it into a prime number." An Yan pointed with a pen Pointing to the previous number, he said with a smile, "After converting it into a prime number, we got the current result."

"It's perfect." Professor Witten said below, "This is a very successful academic report meeting."

"But I have a question." An Yan said as he turned around and began to write formulas on the blackboard.All the bosses who originally thought that this academic report meeting had been successfully concluded were stunned for a moment, looking at the formulas on the blackboard and frowning.This is, what does he want to do?

An Yan's pace was not slow. The one-hour academic report was coming to an end, and he still had one last question to ask.And this problem, even he can't solve it now.

This problem is a problem of number theory, and it is also a problem of informatics.

When An Yan finally stopped writing, everyone at the scene stared straight at him.This is... what the hell?The students sitting in the back couldn't understand what An Yan wrote.

Professor Yan Kai raised his eyebrows, and the professor beside him said, "Yan Kai, who is he?"

"Conjecture, he is proposing a conjecture." Yan Kai took a deep breath, "But this conjecture is a number theory conjecture established through the Langlands Program."

"Then this conjecture..."

"This conjecture is very difficult, much more difficult than the twin prime conjecture." Professor Yan Kai looked at the question on the blackboard and said, "I am afraid it is a century-old problem."

"Has he grown to this point?"

"I don't know, maybe it's inspiration, maybe it's because he has always been so good at number theory, but looking at the conjectures on the blackboard, I can only say that if it were me, I would never make this conjecture." Professor Yan Kai said deeply Take a breath.

No one sitting in the academic lecture hall spoke, and everyone was quietly thinking about the problem An Yan wrote on the blackboard.

No, it doesn't work out at all.Even with the sieve method or the circle method, it is impossible to solve this problem.If it is substituted into the Langlands program, it is still impossible to solve this problem by converting it into algebra.No, no... The professors are shaking their heads slightly. This banquet has posed a big problem for the mathematics community.

"The above is the content of my academic report." An Yan let out a breath slowly, and finally passed the academic report.

But even though the time for the academic report was over, everyone didn't move around randomly, but stayed in the academic report hall and looked at the questions written by An Yan on the blackboard.

Professor Witten asked at this time, "Can you solve this problem?"

"No." An Yan looked at the problem he had written, shook his head and said, "This problem is a very difficult problem. I have tried number theory, algebra, and mutual conversion, but I still can't solve this problem. I think the difficulty of this problem should be how to connect geometric topology and number theory together."

"It is very similar to a new form of Hilbert space. Have you ever tried to use the geometric space of your problem in quantum mechanics?"

"Ah..." An Yan was stunned for a moment. Whether it is Hilbert space or Banach space, they are all geometric spaces.Although he raised this question because of number theory, he combined algebra and geometric space.If this geometric space can be applied to quantum mechanics—it seems that he does not need to study Hilbert space, but can study his own space.

"I will try to use this geometric space to substitute quantum mechanics for field theory." An Yan said to Dr. Witten.

"It's very interesting." Dr. Witten stopped talking, but looked at An Yan's question and recorded it.After standing up, he said to the person next to him, "Is this academic report a successful conclusion?"

The person wearing glasses said with a smile, "That's right, it's indeed a happy ending."

"Heh!" After Professor Weiteng finished speaking, he nodded slightly at An Yan and left the academic lecture hall directly.

An Yan packed her lecture notes and was about to leave the lecture hall.The person who spoke to Professor Weiteng just stopped An Yan, "An, hello."

"Hello, Dr. Tao." An Yan naturally knew the person in front of him.

Dr. Terence Tao of UCLA, An Yan reached out to shake his hand.

"The academic reports just now are very frequent, especially your last question." Dr. Tao said with a smile, "I think it is very meaningful to study, whether it is in mathematics or physics."

"If Dr. Witten hadn't reminded me, I might not have thought of trying to substitute this geometric space into quantum mechanics."

"Thank you for giving such a wonderful lecture, I heard you are going to Stanford University, right?"

"Yes."

"I will contact you when I have a chance." Tao Zhexuan wrote down his email on a piece of paper and handed it to An Yan. "I think we will have a lot to discuss, especially in mathematics."

After speaking, Terence Tao left the academic lecture hall.

Professor Yan Kai finally patted An Yan on the shoulder and said, "Hey, An Yan's performance just now was very good. I'm afraid this is one of the best academic reports at this year's mathematics conference."

"How can it be so..." An Yan said embarrassedly, "There are many academic reports that are better than mine."

"Don't be too modest." Professor Yan Kai said, "Your twin prime number conjecture report meeting was originally one of the most watched report meetings, plus your last question, tsk tsk, I think IMU will be released in a few days. It's time to announce your question."

"Professor Yan Kai, excuse me." An Yan suddenly remembered that he should go to Stanford University today.

"Ready to go to Stanford? Waiting for the math conference to end?"

"Yes, after going to Stanford, I still have some things to do."

"I said, An Yan, you can really think about your geometric space. As for the Hilbert space, you can actually delay it a little bit. If you can study this geometric space, it may be like a hope. Like a Albert space or a Banach space, it can be applied in mathematics and physics."

"I will study it." An Yan said goodbye to Professor Yan Kai and returned to the hotel.He took the suitcase and returned the keys.Drive to Stanford University.

In the matter of choosing a professor, An Yan actually didn't think well.At present, there are not too many professors at Stanford University who have won the Nobel Prize, but the progress and development of Stanford University in physics over the years are obvious to all.

It is really difficult to choose which professor to choose.His idea was to choose a professor of quantum mechanics, but the most powerful professor of quantum mechanics had already sent him a message and was rejected by him.It is almost impossible to find a professor of quantum mechanics who is more powerful than Dr. Witten.

An Yan rubbed her hair, thinking about which professor she should choose.

Lie on the seat, take out the phone, forget it, he should choose the professor when he returns to school.Just don't choose the professor for now.

It was already late when we arrived at Stanford University.After An Yan showed his invitation letter to the admissions officer, the teacher gave An Yan a key and asked him to find the dormitory by himself.Because he had been to Stanford University before, An Yan did not get lost.After arriving at the dormitory, An Yan tidied up for a while, only to find that he lived in a single room, which was the same as the one at the University of Zurich, where he lived alone.

The set-up was fairly complete. After putting away his clothes, he pulled out the chair and sat on it, and turned on the phone.Contacted Gu Weize.

"Xiao Yan." Gu Wei was panting on the other end of the phone, as if he was running.

"What are you doing, brother?"

"I'm exercising." Gu Wei gasped, took a big gulp of water with a bottle of water, "I just finished exercising, why did Xiao Yan call me, are you coming back?"

"The air ticket the day after tomorrow." An Yan said with a smile, "Brother Ze, let me see where you are now."

"Okay!" Gu Wei turned on the video, and An Yan saw Gu Wei sitting in the gym with a bottle of water beside him.His heroic face was covered with sweat, and he smiled at An Yan and said, "Xiao Yan still doesn't trust me."

After finishing speaking, Gu Wei looked at the environment around An Yan, which seemed a little different from the previous few days.He said in confusion, "Xiao Yan, did you change the room or the hotel?"

"I'm at Stanford University. I've completed the admission procedures. I haven't chosen a professor yet. I'm going to choose a professor when I come back." Speaking of this, An Yan paused, "Are you free the day after tomorrow?"

"Should be free." Gu Wei smiled smirking at the phone alone, and Chen Hanlin next to him glanced curiously. He thought Gu Wei was stupid, so it turned out that he was making a video with An Yan.

"Xiaoyan, I'll wait for you to come back."

Chen Hanlin said beside him, "Gu Weize, are you not going to class?"

"Hey, I'll go right away." After Gu Weize finished speaking, he said to the video, "Xiaoyan, I'm going to class first."

"Well, you go."

After An Yan hung up the phone, he put down the phone and began to study his own space.

His academic report meeting was indeed very successful. Even after he left UC Berkeley, many people were still discussing the content of his report with relish.

Especially the geometric space at the end is like a stroke of magic.

When the students met people, they said, "Do you know? Do you know how to unravel the geometric space of Ann?"

This is a mathematics conference organized by IMU. Naturally, Anyan's academic report has spread not only in the mathematics circle, but also in the physics circle.New geometric spaces and new number theory conjectures, the mathematics conference is not over yet.After I believe it is over, the IMU will name the new mathematical conjecture.

But these days, the academic world is almost full of news about An Yan, even those professors in China can learn about An Yan from the Internet.The IMU official website and the University of California, Berkeley also have a video of An Yan giving an academic report.

This itself is part of the conference record. Many professors who did not go to the mathematics conference watched the video recording of An Yan's academic report on the Internet.

Professor Li Bo was no exception. While watching the video, he pondered and said, "Why doesn't this guy need to use quantum mechanics in his new geometric space?"

Gou Liqun complained at the side, "Probably he didn't think about this problem. If Dr. Weiteng reminded him of this matter, I'm afraid he still doesn't know that his geometric space can be applied to quantum mechanics. Maybe, He is still worrying about the Hilbert space.

"

"This kid..." Should he be called naive or stupid?He is definitely not stupid, but sometimes he is too tender.Obviously this new geometric space can be applied to physics at a glance, but he still needs someone to remind him.Professor Li Bo believes that if this is a geometric space created by others, An Yan will definitely apply it to quantum mechanics without even thinking about it.

But he created it himself, but he didn't know how to apply it.

It is a very laborious task to study new geometric spaces, especially the new geometric spaces created by himself.Even more so, now everyone knows nothing about this geometric space.The same is true for An Yan himself, he still has to start calculations from the most basic functional analysis.

After finishing the phone call with Gu Weize, An Yan started to do this.

His legend has been spread. If he only solves the twin prime number conjecture, then the academic circles will think that An Yan is a genius with some knowledge of number theory.But after unraveling the twin prime number conjecture, another number theory problem can be raised, which contains many basic subject knowledge in mathematics, which can not be generalized by just a genius.

During this period of time, An Yan's name has almost all started to appear on the mathematics and physics of arXiv.Almost the entire screen is filled with answers and doubts about An Yan, new geometric spaces and new mathematical conjectures.

…………

After staying in the Stanford University apartment for two days, An Yan booked a flight back home.After packing his luggage, before leaving Stanford University, the teacher asked An Yan again, whether he had chosen a professor or not.And let him do a good job of choosing his own professor before September.

An Yan thought for a while, regarding the professor, he could choose after returning home.After thanking the teacher, he took the plane to the airport and was about to return home. He was still in a good mood.