Chapter 167 Mathematics Grand Slam winner, new tasks
Pierre Deligne.
In January this year, the Norwegian Academy of Science and Letters announced that Pierre Deligne won the Abel Prize in Mathematics.
The reason given is to commend his pioneering contributions to algebraic geometry and his transformative impact on number theory, representation theory and related fields.
Looking around the world, there are only 13 mathematicians who have won both the Wolf Prize and the Fields Medal in Mathematics. However, on this basis, there are only 13 mathematicians who have also won the Crayford Prize. Two of them, one is Qiu Chengtong and the other is Deligne.
This year, Deligne also collected all the three major awards in mathematics.
With such achievements, one can fully imagine Deligne’s academic status in the global mathematics community.
And Deligne has lived up to these honors. His most famous achievement is his brilliant solution to the last conjecture in Weil's series of conjectures.
This conjecture was Weil's first conjecture. The most profound one among the conjectures is the correspondence of the 'Riemann Hypothesis' to the situation of algebraic varieties in finite fields.
According to Weil's vision, in order to prove these conjectures, algebraic topology methods need to be used. Grothendieck, the mathematical emperor in the middle and late last century, and his school of thought created the cohomology theory, which also became The main tool used by Deligne to verify Weil's conjecture.
Moreover, in a series of papers by Deligne, he extended the classical Hodge theory to non-compact families of singular algebras, proving that the cohomology of non-compact families of singular algebras has a mixed Hodge structure.
It can be said that Deligne's position in today's mathematics community is definitely a leader in the first echelon.
So, after Deligne’s repeated invitations, Wang Donglai made Princeton his first stop.
“Tuk Tuk!”
Standing at the door, Wang Dong knocked on the door.
"Come in!"
A powerful voice came from the office, it was Deligne's voice.
Wang Donglai pushed the door open and walked in. Deligne was leaning on the table, writing something.
After entering the door, seeing Deligne busy, Wang Donglai did not speak, but sat down on his own.
Deligne's attention was also focused on the document in his hand, without raising his head or speaking.
Just like that, the office fell into silence.
Wait until ten minutes have passed.
Deligne just raised his head and moved a bit.
This activity attracted Wang Donglai’s attention.
“Oh, Wang Donglai, why did you come to my office?”
Deligne recognized Wang Donglai at a glance and asked in surprise.
"Professor Deligne, I just arrived at Princeton and thought I would come over to see you. I shouldn't disturb your work, right?"
Wang Donglai responded with a smile.
“No, no!”
Deligne denied repeatedly, looking quite excited. Deligne was quite curious about Wang Donglai, a rising star.
However, the two of them didn't communicate much at the graduation ceremony of Tangdu Jiaotong University last time. Even if they communicated through email, it was still a little less interesting.
Seeing Wang Donglai at this moment, one can imagine how happy Deligne was.
"Last time, because of the time and place, our topic did not continue. Now I have some new ideas, just in time to discuss one or two with you."
Said , Deligne continued to share with Wang Donglai the thoughts derived from the last topic they talked about.
Wang Donglai was not surprised by Deligne's reaction.
Because he understands one thing very well, that is, he has a hang-up, but Deligne has not. He can achieve this level without a hang-up. One can imagine how great Deligne's achievements would be if he had a hang-up.
Hard work, diligence and talent are what make Deligne achieve what he is today.
"In February this year, you should have noticed the report on the Commonwealth's "New Scientist" magazine website that the largest known Mersenne prime number "2^57885161-1" has appeared, and now the world Many mathematicians are racing against time to find out its distribution rules."
“After a brief chat with you, I also conducted some research on this and found that it is indeed very interesting.”
“Your country of China is indeed a magical country. The 'Zhou's guess' proposed by Professor Zhou does have some truth, but..."
Deligne, who was immersed in academic discussions, seemed to be a different person.
He was in high spirits and talked about his opinions endlessly.
In the discussion with Deligne, Wang Donglai also performed extremely well.
With [Mathematics] that has reached LV7, he has no problem following Deligne's ideas, and he also has his own opinions from time to time.
The two started chatting, one was a senior who had already won the Mathematics Grand Slam Award, and the other was a rising star who had suddenly become famous but had not yet won a major award.
After communicating for an hour and a half, Deligne said with some unfulfilled emotion: "Originally, I thought I was still young, but after seeing you, my idea changed. I only won three Grand Slam awards this year. , I guess you can catch up with me next year.”
< br>“I’m just standing on the shoulders of my predecessors, it’s nothing.”
Wang Donglai acted quite modestly in front of Deligne, because he knew his true ability and distance. It's still a little short of actually solving the ABC guess and the Hodge guess.
If he completely relies on his own ability to solve a mathematical problem without relying on the system's prompts, he will probably truly become a top figure in the world of mathematics.
Currently, it is only the top of the world.
"Wang Donglai, do you have any ideas about Mersenne prime numbers?"
Suddenly, Deligne asked. Just when Wang Donglai was about to answer, the system notification sound suddenly sounded in his mind.
"Ding dong! The temporary mission has been released, do you accept it?"
Hearing this prompt, Wang Donglai naturally did not hesitate and directly chose to accept it.
"Ding dong! The player accepts the temporary mission, and the temporary mission has been released!"
Following the system prompts, the detailed information of the temporary mission suddenly appeared in the void in front of Wang Donglai.
[Temporary task: Ask players to summarize the precise formula for the distribution of Mersenne prime numbers! 】
[Task reward: Players can randomly obtain a technology that is no more than a hundred years old in this world. 】
When he saw the mission information appearing on the system panel, Wang Donglai suddenly became excited.
Although he didn't know why this mission suddenly appeared after Deligne asked that question, Wang Donglai couldn't care less about it anymore.
The exact formula for the distribution of Mersenne prime numbers is indeed difficult!
But the rewards given by the system are even more generous.
Science and technology that is no more than a hundred years old in this world is really too tempting.
Technology is changing so rapidly that in just a few years, earth-shaking changes may occur.
Therefore, he made a decision as soon as he learned about the reward.
That is, this task must be completed.
Thinking this in his heart, Wang Donglai's expression became determined, "Since Professor Deligne said so, I will give it a try."
Deligne is not just academic. The old scholar, who did not understand the world, naturally understood what Wang Donglai said.
"No need to be like this, if you are not interested in this aspect, don't be like this. With your talent, you should make more contributions to the mathematics community. I am also looking forward to your results. If it is because of me, , let you stay on the Mersenne prime numbers, I think I will become a sinner in the contemporary mathematics world”
Deligne said it very seriously, not with false politeness.
Wang Donglai could hear it, so he appreciated Deligne's style even more.
"Professor Deligne, to tell you the truth, I do have some ideas about Mersenne primes. After talking with you, I have strengthened my ideas, so please don't feel guilty. Maybe it won't take long , you can hear my good news!”
The tone is full of confidence, as if the distribution law of Mersenne prime numbers is very simple.
As a big figure in the field of mathematics, Deligne naturally understands the difficulty of Mersenne's prime number distribution rules, so when he heard Wang Donglai's confident tone, his eyes instantly lit up.
Wang Donglai, who can prove the mathematical problem of two worlds, is definitely not a person who can only talk.
The chat just now also reflects the level of Wang Donglai. After all, I can chat with him for an hour and a half without any signs of sluggishness or failure to keep up with his ideas. This is enough to prove Wang Donglai’s logic and mathematical talent. Not weaker than him.
So, Professor Deligne has every reason to believe that Wang Donglai really has some ideas about Mersenne primes.
It is no longer even a simple idea, it is likely to be some breakthrough achievements.
"If that's the case, then I'll wait and see, waiting for your good news."
Deligne suddenly felt like he was witnessing history.
If Wang Donglai really found out the distribution pattern of Mersenne prime numbers, would their chat today become an interesting conversation in the academic world?
Of course it will!
The identities of the two people combined with this deed are so legendary.
With this thought in mind, Deligne looked at Wang Donglai with more and more admiration.
"If you don't mind, can the academic exchange be postponed for a few days? I am going to expand the previous academic exchange to a larger scale. I believe you will be very satisfied. What do you think?"
Deligne Eyes As he moved slightly, an idea suddenly came to his mind, so he spoke to Wang Donglai.
"Of course there is no problem. I can take advantage of this time to test my thoughts."
Wang Donglai naturally had no problem and readily agreed.
After a brief chat, Wang Donglai said goodbye to Professor Deligne and returned to the hotel.
After returning to his room in the hotel, he began to study the system.
This temporary mission came about somewhat accidentally.
Wang Donglai couldn't help but have various speculations in his heart.
However, after studying for a while, I found that this temporary task of the system was really just an accident, so I gave up the investigation.
Focus on the Mersenne primes from the system.
Wang Donglai couldn't help but feel a little dizzy.
How good the reward of this temporary task is, then how difficult it will be correspondingly.
"Wealth is found in danger, fight for it!"
Thinking about the rewards given by the system, Wang Dongli took a deep breath and turned on [Brain Overclocking] in the next second!
Guys, please support me... It’s not easy to write words since I’m celebrating the Chinese New Year. I hope you guys can give me a reward or vote or something. I don’t know if there will be any tonight. I’m still writing. If you have enough 3,000 yuan, you will be given out. If not, 10,000 yuan will be updated tomorrow...
(End of this chapter)