National Top Stream
Chapter 89 Meeting
The misunderstanding has exploded, Zhuang Weiran is not well, how can he explain this, he is really not short of money to this extent.With an embarrassed smile, Zhuang Weiran said, "Professor Cuomo, you have misunderstood, I am really not short of money..."
Zhuang Weiran's actions looked like he was embarrassed, but Cuomo smiled and said nothing.It's over, I really can't tell this time.This was the last thing Zhuang Weiran thought of. He had a terrible headache, and he really wasn't short of money.Besides, as a world-class mathematician, it is impossible for him to be so short of money.
It's just that the lab is burning money, and he just needs to solve the Millennium Prize puzzle.It's really not that troublesome. With a sigh, Zhuang Weiran rubbed the center of his brows. It seemed that he was really embarrassed.
Fortunately, Cuomo didn't keep talking about this issue, but talked about other things.Zhuang Weiran breathed a sigh of relief, and began to talk about mathematics with the people from the Paris Academy of Sciences.
…………
After He Zhenguo finished sorting out his things, he started to get busy, because he hadn't come to work for several days and accumulated a lot of work that needed him to deal with.He Zhenguo didn't finish dealing with it until noon.After processing, prepare to go to the cafeteria.Director Yang winked at him, "I said, Zhen Guo, tell me, does your son have any tricks?"
"Isn't your eldest son studying at Capital University?" He Zhenguo said coldly, "Why, don't ask your eldest son."
"This kid, doesn't he want to be a policeman since he was a child like your son? I let him be admitted to Beijing University to become a policeman." Director Yang said angrily, "This kid is okay, he is the youngest son. I'm in high school, there's really nothing I can do about it. The eldest son has nothing to do with him, don't I want to learn from your family's Rui Ning's learning experience?"
"No, does reading more count?" It's not that He Zhenguo didn't want to tell Director Yang, but he simply couldn't.How to put it, Zhuang Weiran really figured it out by reading books by himself, and he didn't have any tutoring.
"I heard from Rui Ning that he was just obsessed with those math books. He has been interested in this since he was a child..."
Director Yang thought in his heart, saying this is tantamount to not saying it.It seemed to say something, but it didn't seem to say anything.He Zhenguo understood all the nonsense literature.
"Has your family's Rui Ning gone abroad again?" Director Yang began to chat with He Zhenguo about the daily life. The two have been competing for most of their lives. At this time, both of them are the fathers of two children, so there is still something to talk about.
"Yes." After He Zhenguo finished his meal, "Why, you also want to send your eldest son abroad?"
"Look at his own good luck." Director Yang shook his head, "This kid, he wants to be a policeman. What do you think the police are good for?"
Director Yang just didn't understand. Since his eldest son was a child, nothing happened to him.It's almost a widow's education, and if something goes wrong, he will be served on a belt. If you say he should hate the police.Why do you keep talking about being a policeman every day, "Tell me now, being a policeman is also quite tiring."
"That's not true." He Zhenguo smiled, "But if the child wants to be it, he can be it."
"You put it lightly. Your family, Rui Ming, is talented in criminal investigation, and Rui Ning is a great professor. You don't have to worry about anything. This kid finally got admitted to Capital University, and he wants to be a policeman. Wouldn't it be good to be a researcher?"
"Yo." He Zhenguo said with a smile, "We have been together for so many years, you still have to compete."
"Hey, I have to compete, it's endless. Why can your son be a researcher, but my son can't."
"Then my eldest son is still a policeman."
"The younger son can also..."
He Zhenguo smiled and said nothing, Director Yang touched his arm with his hand, "I'll be honest, Lao He, you have been quite content in your life. The elder son is like you, the younger son misses his mother, and the other is born to be a policeman." The other is a genius, inheriting your wife's mantle. Really, that's what I admire you the most."
Director Yang gave a thumbs up and said, "I'm not as lucky as you. The eldest son has to fight to become a policeman. The younger son doesn't like to study. He is so busy now that he has no time to take care of him. His brother and His mother can't cure him..."
He Zhenguo still smiled and didn't speak.This is Director Yang's family matter, so it's not easy for him to intervene.The two have been old friends for decades, it's okay to listen to him complain, but it's his fault to interrupt.
"You said how your family is doing so well." Director Yang began to sigh with emotion, "I fell in love with your wife with you back then, but your wife just likes you, a big fool."
"Well, let's have an older son, like you. Have a younger son, like your wife. Well, what's so good about you, why did your wife fall in love with you?"
He Zhenguo smiled and didn't speak, he didn't know very well.He is not a person who likes to talk about love, and when he was in love with Chen Xinyao, he didn't say anything about love.After he graduated from the police academy and started working, he married Chen Xinyao not long after.He Ruiming was born, and then Rui Ning.He has always felt that life is very good, and it is difficult for him to say the word love.No matter who in the family, whether it's Chen Xinyao, He Ruiming, or He Ruining.
He is very loving, but this kind of love cannot be said, but put into action.
He Zhenguo said with a smile, "Isn't your wife pretty good too?"
"Hey, that's not true." Director Yang said provocatively, "Better than your wife."
"That's it." He Zhenguo started to eat, Director Yang ate and ate, as if he remembered something, "I said, Lao He, can your youngest son return to China?"
"What are you talking about?" He Zhenguo didn't know whether to laugh or cry, "Why can't he go back to China? He didn't do anything wrong."
"I mean, your youngest son is so powerful, will he be detained by the Lighthouse Kingdom?"
"Impossible." He Zhenguo thought for a while, "There are so many international students, and I haven't heard of anyone being detained."
"That's right." Hearing what He Zhenguo said, Director Yang nodded. It is true that so many international students have never heard of anyone being detained.Probably because he thought too much, "There is a meeting this afternoon, remember to come."
…………
After chatting with Professor Cuomo and the others, it was already night.Professor Cuomo invited him to the restaurant for dinner. After eating, Zhuang Weiran returned to the hotel, and Zhuang Weiran began to study Abelfield. He has not researched anything now, but he has put on the scarf many times in a row.Stop wearing a scarf today and start seriously studying academic issues.
The research time passed quickly. He spent two or three days at the Paris Academy of Sciences to discuss issues with these mathematicians, and gave an academic lecture by the way. Finally, he would go to the hospital to visit the mathematician.
When I came to the hospital, there were not many people.Under Cuomo's leadership, they came to a quieter room.
Cuomo knocked on the door first, and after getting a response, he pushed the door open, "Sir, this is Zhuang Weiran."
The thin old man lying on the bed stared at Zhuang Weiran, then pointed weakly at the chair beside him, "Sit down."
"Thank you, sir." Zhuang Weiran looked serious. It seemed that this gentleman would not live long.Zhuang Weiran sat down, Cuomo asked, "Sir, have you been feeling better recently?"
"It's okay." The old man nodded slightly, "You go out first, and I'll chat with him."
Cuomo left with a smile. It seems that this gentleman doesn't like himself very much, and he doesn't even have the desire to chat with him.
Turning around and leaving the room, by the way, gently cover the door.The thin old man looked Zhuang Weiran up and down, and his voice was very small, inaudible.It took Zhuang Weiran's exhaustion to be able to hear, "I have read your paper, and now there is your paper in Nature. In mathematics, you are already very good."
"Thank you, sir."
"Do you have any questions about algebra and geometry?"
Zhuang Weiran was silent for a while, and the thin old man didn't speak, as if he was waiting for Zhuang Weiran to ask.After a long time, Zhuang Weiran finally said, "Actually, there are some problems in the Kac-Moody algebra. It's a pity that I haven't been able to read your monograph."
The thin old man was expressionless, "Tell me, which part."
[Loday algebra has received extensive attention in recent years. According to the definition of Loday, a ∈ A, if there is a -bilinear operation [,] on the linear space A on the field, such that ada=[a, -] is a derivation...g is a Lie algebra, whose Lie brackets are [,], V is a g-module, and satisfies gV=V. In the vector space... the above operations become a left Leibniz algebra, called a split left Leibniz algebra... ①]
Zhuang Weiran took out a pen and paper, and wrote on the draft paper while talking.
When handing it to the thin old man, the old man smiled and said louder, "Are you deliberately making things difficult for me?"
"No, sir, this is indeed my doubt." Zhuang Weiran said very sincerely, and the old man took a pen and began to write on the paper.
【…
令u=v=0得f11是g的自同态且f21([x,y])=f11(x).f21(y).令x=v=0得[f12(u),f11(y)]=0对任意u∈V和y∈g成立.从而令y=u=0知f22(x.v)=f11(x).f22(v),f12(x.v)=[f11(x),f12(v)]=0对任意x∈g和v∈V成立.由于g.V=V,所以f12=0.必要性得证.
Lie algebra automorphism f11 and g-module V for any given Lie algebra g, there is another g-module structure on V
……
f11 is the Lie algebra automorphism of g, f12=0;
f21 is a g-mode homomorphism from g to Vf11, and f22 is a g-mode homomorphism from V to Vf11
……②]
After finishing writing, he handed it to Zhuang Weiran, still smiling.
Zhuang Weiran held the draft paper and pondered for a while, "I see, sir." His voice became excited, "In this way, I may be able to make something on Abel Field soon."
"I've heard that you want to do the generalization of Crocker's theorem on the Abel field?"
"Yes, sir." Zhuang Weiran was still very excited, "You are indeed very powerful. After reading your handwriting, I basically understand it."
"I have seen many young mathematicians, such as Deligne, Faltings, etc., but none of them can be like you." The thin old man said with a smile, "Your talent in mathematics is unparalleled."
"No." Zhuang Weiran shook his head hastily, "Your talent in mathematics is unparalleled."
"Will you come tomorrow?"
"of course."
The two fell silent, and Zhuang Weiran took some time to accompany this master because he really admired this master in mathematics.
"I heard..." the old man said tremblingly, "Are you short of money now?"
Zhuang Weiran's actions looked like he was embarrassed, but Cuomo smiled and said nothing.It's over, I really can't tell this time.This was the last thing Zhuang Weiran thought of. He had a terrible headache, and he really wasn't short of money.Besides, as a world-class mathematician, it is impossible for him to be so short of money.
It's just that the lab is burning money, and he just needs to solve the Millennium Prize puzzle.It's really not that troublesome. With a sigh, Zhuang Weiran rubbed the center of his brows. It seemed that he was really embarrassed.
Fortunately, Cuomo didn't keep talking about this issue, but talked about other things.Zhuang Weiran breathed a sigh of relief, and began to talk about mathematics with the people from the Paris Academy of Sciences.
…………
After He Zhenguo finished sorting out his things, he started to get busy, because he hadn't come to work for several days and accumulated a lot of work that needed him to deal with.He Zhenguo didn't finish dealing with it until noon.After processing, prepare to go to the cafeteria.Director Yang winked at him, "I said, Zhen Guo, tell me, does your son have any tricks?"
"Isn't your eldest son studying at Capital University?" He Zhenguo said coldly, "Why, don't ask your eldest son."
"This kid, doesn't he want to be a policeman since he was a child like your son? I let him be admitted to Beijing University to become a policeman." Director Yang said angrily, "This kid is okay, he is the youngest son. I'm in high school, there's really nothing I can do about it. The eldest son has nothing to do with him, don't I want to learn from your family's Rui Ning's learning experience?"
"No, does reading more count?" It's not that He Zhenguo didn't want to tell Director Yang, but he simply couldn't.How to put it, Zhuang Weiran really figured it out by reading books by himself, and he didn't have any tutoring.
"I heard from Rui Ning that he was just obsessed with those math books. He has been interested in this since he was a child..."
Director Yang thought in his heart, saying this is tantamount to not saying it.It seemed to say something, but it didn't seem to say anything.He Zhenguo understood all the nonsense literature.
"Has your family's Rui Ning gone abroad again?" Director Yang began to chat with He Zhenguo about the daily life. The two have been competing for most of their lives. At this time, both of them are the fathers of two children, so there is still something to talk about.
"Yes." After He Zhenguo finished his meal, "Why, you also want to send your eldest son abroad?"
"Look at his own good luck." Director Yang shook his head, "This kid, he wants to be a policeman. What do you think the police are good for?"
Director Yang just didn't understand. Since his eldest son was a child, nothing happened to him.It's almost a widow's education, and if something goes wrong, he will be served on a belt. If you say he should hate the police.Why do you keep talking about being a policeman every day, "Tell me now, being a policeman is also quite tiring."
"That's not true." He Zhenguo smiled, "But if the child wants to be it, he can be it."
"You put it lightly. Your family, Rui Ming, is talented in criminal investigation, and Rui Ning is a great professor. You don't have to worry about anything. This kid finally got admitted to Capital University, and he wants to be a policeman. Wouldn't it be good to be a researcher?"
"Yo." He Zhenguo said with a smile, "We have been together for so many years, you still have to compete."
"Hey, I have to compete, it's endless. Why can your son be a researcher, but my son can't."
"Then my eldest son is still a policeman."
"The younger son can also..."
He Zhenguo smiled and said nothing, Director Yang touched his arm with his hand, "I'll be honest, Lao He, you have been quite content in your life. The elder son is like you, the younger son misses his mother, and the other is born to be a policeman." The other is a genius, inheriting your wife's mantle. Really, that's what I admire you the most."
Director Yang gave a thumbs up and said, "I'm not as lucky as you. The eldest son has to fight to become a policeman. The younger son doesn't like to study. He is so busy now that he has no time to take care of him. His brother and His mother can't cure him..."
He Zhenguo still smiled and didn't speak.This is Director Yang's family matter, so it's not easy for him to intervene.The two have been old friends for decades, it's okay to listen to him complain, but it's his fault to interrupt.
"You said how your family is doing so well." Director Yang began to sigh with emotion, "I fell in love with your wife with you back then, but your wife just likes you, a big fool."
"Well, let's have an older son, like you. Have a younger son, like your wife. Well, what's so good about you, why did your wife fall in love with you?"
He Zhenguo smiled and didn't speak, he didn't know very well.He is not a person who likes to talk about love, and when he was in love with Chen Xinyao, he didn't say anything about love.After he graduated from the police academy and started working, he married Chen Xinyao not long after.He Ruiming was born, and then Rui Ning.He has always felt that life is very good, and it is difficult for him to say the word love.No matter who in the family, whether it's Chen Xinyao, He Ruiming, or He Ruining.
He is very loving, but this kind of love cannot be said, but put into action.
He Zhenguo said with a smile, "Isn't your wife pretty good too?"
"Hey, that's not true." Director Yang said provocatively, "Better than your wife."
"That's it." He Zhenguo started to eat, Director Yang ate and ate, as if he remembered something, "I said, Lao He, can your youngest son return to China?"
"What are you talking about?" He Zhenguo didn't know whether to laugh or cry, "Why can't he go back to China? He didn't do anything wrong."
"I mean, your youngest son is so powerful, will he be detained by the Lighthouse Kingdom?"
"Impossible." He Zhenguo thought for a while, "There are so many international students, and I haven't heard of anyone being detained."
"That's right." Hearing what He Zhenguo said, Director Yang nodded. It is true that so many international students have never heard of anyone being detained.Probably because he thought too much, "There is a meeting this afternoon, remember to come."
…………
After chatting with Professor Cuomo and the others, it was already night.Professor Cuomo invited him to the restaurant for dinner. After eating, Zhuang Weiran returned to the hotel, and Zhuang Weiran began to study Abelfield. He has not researched anything now, but he has put on the scarf many times in a row.Stop wearing a scarf today and start seriously studying academic issues.
The research time passed quickly. He spent two or three days at the Paris Academy of Sciences to discuss issues with these mathematicians, and gave an academic lecture by the way. Finally, he would go to the hospital to visit the mathematician.
When I came to the hospital, there were not many people.Under Cuomo's leadership, they came to a quieter room.
Cuomo knocked on the door first, and after getting a response, he pushed the door open, "Sir, this is Zhuang Weiran."
The thin old man lying on the bed stared at Zhuang Weiran, then pointed weakly at the chair beside him, "Sit down."
"Thank you, sir." Zhuang Weiran looked serious. It seemed that this gentleman would not live long.Zhuang Weiran sat down, Cuomo asked, "Sir, have you been feeling better recently?"
"It's okay." The old man nodded slightly, "You go out first, and I'll chat with him."
Cuomo left with a smile. It seems that this gentleman doesn't like himself very much, and he doesn't even have the desire to chat with him.
Turning around and leaving the room, by the way, gently cover the door.The thin old man looked Zhuang Weiran up and down, and his voice was very small, inaudible.It took Zhuang Weiran's exhaustion to be able to hear, "I have read your paper, and now there is your paper in Nature. In mathematics, you are already very good."
"Thank you, sir."
"Do you have any questions about algebra and geometry?"
Zhuang Weiran was silent for a while, and the thin old man didn't speak, as if he was waiting for Zhuang Weiran to ask.After a long time, Zhuang Weiran finally said, "Actually, there are some problems in the Kac-Moody algebra. It's a pity that I haven't been able to read your monograph."
The thin old man was expressionless, "Tell me, which part."
[Loday algebra has received extensive attention in recent years. According to the definition of Loday, a ∈ A, if there is a -bilinear operation [,] on the linear space A on the field, such that ada=[a, -] is a derivation...g is a Lie algebra, whose Lie brackets are [,], V is a g-module, and satisfies gV=V. In the vector space... the above operations become a left Leibniz algebra, called a split left Leibniz algebra... ①]
Zhuang Weiran took out a pen and paper, and wrote on the draft paper while talking.
When handing it to the thin old man, the old man smiled and said louder, "Are you deliberately making things difficult for me?"
"No, sir, this is indeed my doubt." Zhuang Weiran said very sincerely, and the old man took a pen and began to write on the paper.
【…
令u=v=0得f11是g的自同态且f21([x,y])=f11(x).f21(y).令x=v=0得[f12(u),f11(y)]=0对任意u∈V和y∈g成立.从而令y=u=0知f22(x.v)=f11(x).f22(v),f12(x.v)=[f11(x),f12(v)]=0对任意x∈g和v∈V成立.由于g.V=V,所以f12=0.必要性得证.
Lie algebra automorphism f11 and g-module V for any given Lie algebra g, there is another g-module structure on V
……
f11 is the Lie algebra automorphism of g, f12=0;
f21 is a g-mode homomorphism from g to Vf11, and f22 is a g-mode homomorphism from V to Vf11
……②]
After finishing writing, he handed it to Zhuang Weiran, still smiling.
Zhuang Weiran held the draft paper and pondered for a while, "I see, sir." His voice became excited, "In this way, I may be able to make something on Abel Field soon."
"I've heard that you want to do the generalization of Crocker's theorem on the Abel field?"
"Yes, sir." Zhuang Weiran was still very excited, "You are indeed very powerful. After reading your handwriting, I basically understand it."
"I have seen many young mathematicians, such as Deligne, Faltings, etc., but none of them can be like you." The thin old man said with a smile, "Your talent in mathematics is unparalleled."
"No." Zhuang Weiran shook his head hastily, "Your talent in mathematics is unparalleled."
"Will you come tomorrow?"
"of course."
The two fell silent, and Zhuang Weiran took some time to accompany this master because he really admired this master in mathematics.
"I heard..." the old man said tremblingly, "Are you short of money now?"
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