National Top Stream

Lin Sen turned his head and looked at Pierce in disbelief, "Should the wicked file a complaint first?"

"I obviously heard a lot of people say that Pierce has been going around saying that the professor doesn't understand life, doesn't know the atmosphere, and is too old-fashioned." Lin Sen said loudly, "Every time Mr. Pierce is at a party, he always says that Professor Zhuang is old-fashioned. .”

"Mr. Pierce, you are really unreliable." Zhuang Weiran smiled, "At any rate, I am also your professor. If you go around slandering me like this, those professors have heard a lot of outrageous rumors about me."

"Sorry Professor." Pierce was embarrassed, "Then I won't say these words in the future."

After cooking, Zhuang Weiran washed his hands, and the three of them ate together.

They were washing dishes below, Zhuang Weiran got up and went back to the room, "You guys go to bed early later, I'll go back to the room to find some things."

After returning to the room and turning on the computer, Zhuang Weiran entered arxiv to check the relevant documents and materials of Abel domain.

Gradually, approaching April, the spring is getting brighter and brighter.Zhuang Weiran hadn't contacted anyone in China for almost half a month. On the last day of March, he suddenly received a message——

[The case is finally over, and the closing report has just been handed in.The sunshine in Dragon City is a bit poisonous now, I still look a little hot in two long clothes, how about you? 】

[Very well, everything is normal, the air here in Princeton is good, and the sun is just right.It's a pity that I can't go out for an outing. 】

Wei Yaoyang looked at the message from Zhuang Weiran and smiled.He is currently on the subway and just came out of the police station after changing his clothes. He has been busy for more than ten days and has not returned home.Basically, I eat, drink and sleep at the work unit, and when I finally finish my work, I can send Zhuang Weiran a message.

Originally thought that it would take a long time for Zhuang Weiran to send him a message, but he didn't expect the message to be sent so soon.

[When you return to China, shall we go to BBQ? 】

[No problem, I personally prefer summer. 】

[I also like summer very much! 】

Wei Yaoyang followed Zhuang Weiran's words.

[Stop talking, I have an academic report meeting in a few days, and I am busy with the academic report meeting now, and we will talk after my academic report meeting. 】

Wei Yaoyang really wanted to ask where he could see Zhuang Weiran's academic report.But he knew that Zhuang Weiran should be busy now, so he didn't have time to pay attention to him.

Didn't even send him a message.

Zhuang Weiran has already fully prepared for the academic report meeting. He is currently researching the subject, or the news from Wei Yaoyang came at the right time.He was just about to take a break when he saw a message from Wei Yaoyang.It should be night over there, so I didn't go home until it was so late.Quite tired, Zhuang Weiran replied a few messages by the way.

Put down the phone and continue to make bsd guesses.

On the day of the academic symposium, many people from Europe and Asia came. This is a question Hilbert raised in the first year of the 100th century, and it has been more than [-] years ago.Before Zhuang Weiran asked this question, there was still a long way to go before the final answer to this question.The entire academic lecture hall was almost full of people.Many students from Princeton University also came to the scene, wanting to listen to this academic report.

As a result, the entire academic lecture hall was almost crowded with people.When Zhuang Weiran came to the academic lecture hall, he saw that there were still many people crowded outside, as if they planned to listen to this academic lecture outside.

He thought to himself, there is no need to be so enthusiastic, right?It was more or less funny, not only the mathematics department, but also many people from the physics department.

Zhuang Weiran almost didn't squeeze into the academic lecture hall, there were too many people outside, and some people were standing in front of the gate.Because the academic lecture hall itself is not big, professors and scholars from various countries are arranged in advance.

Therefore, more students could only stand outside the classroom and listen to Zhuang Weiran's academic report. When they came to the lecture hall, Zhuang Weiran tidied up his suit.He loosened his tie, walked up to the podium, watched the crowd below all staring at him, and smiled, "Okay, I believe I don't need to talk about the academic report I need to do next."

"Everyone knew exactly what the academic report I needed to do when I came here, so I don't need to say more, I will start now." After finishing speaking, he turned around beautifully, took a pen and began to write formulas on the blackboard——

【…

The a-module is called the gorenste projective module, if there is a complete zero-tone complex of the above projective a-module ~ such that ?kerd-1.

Let ∈ a-od, the defined gorenste projection dimension is

gda()=f{n|There are exact columns 0→gn→…→g1→g0→→0, where each gi is a gorenste projective module

……

Now assume n0, consider the exact sequence 0→n→e→n′→0, where e is the □□ module, ida(n′)=n-1, then each item of the complete zero-tone complex is a projective module

……

Considering the short exact sequence 0→'→→→0 of a-module, we have

(1) gda(')≤ax{gda(), gda()}

(2) gda()≤ax{gda('), gda()}

(3) gda()≤ax{gda('), gda()}1

……1】

Zhuang Weiran's speed is very fast. It is not the first time for everyone to listen to Zhuang Weiran's academic report, listen to Zhuang Weiran's explanation, and quickly keep up with his rhythm.After Zhuang Weiran finished explaining, he paused for a moment, then pulled back to the blackboard, "By the way, I want to remind everyone."

[If Y has a finite Gorenstein projective dimension, it can be assumed that GpdA(Y)≤n, then there is an exact sequence

0→Gn→Gn-1→…→G1→G0→Y→0

……②]

"Okay, my report will be explained." Several hours later, this academic report is finally over, half of the people are still trying to recall what Zhuang Weiran said just now, and some people Thinking about the details that Zhuang Weiran explained just now.

"What do you guys not understand?" He just explained the most difficult part, Y has a limited Gorenstein projective dimension. At this time, everyone present should have no doubts.

Of course, if someone still raises questions, Zhuang Weiran is also willing to continue explaining to them.

"If not, then this symposium will be over." He calmly packed up his things and hurried back to continue making BSD conjectures. The symposium was supposed to be held in mid-April, but he arrived ahead of time. Early April, that is, April 4.The rest of the time, he needs to spend on the subject in hand, and he doesn't have that much time to dwell on what he has already made.

Time is life, Zhuang Weiran will not be entangled in it.Nor will he be complacent because he has researched this problem. If he is this kind of person, after researching the existence and quality gap of Yang-Mills, he will not do more research.But his research has become more and more in-depth, covering almost all fields of mathematics.

No one has responded to him yet, presumably everyone is still thinking, and he is anxious to go back and continue his research.

"Since everyone has no problem, I'll leave first." With a smile, he left the academic lecture hall.

The students voluntarily gave way to the professor. In fact, the students had the most questions. They also knew very well that asking Zhuang Weiran these questions might seem very funny. It would be better not to ask this top professor.

Back in the office, Pierce went to help with the class. He sat alone in the chair. Before he could take a breath, the sound of the landline echoed in his ears.

Zhuang Weiran was quite puzzled. At this time, who would call him the landline, it should be someone from Princeton University, right?

"Hello?" He took the phone and began to answer, he asked with doubts, "Excuse me, who are you?"

"Is it Zhuang Weiran, Professor Zhuang?"

"I am." Zhuang Weiran heard the Chinese spoken on the other end of the phone.

"Hello, Professor Zhuang, I am a staff member of the Chinese embassy in the lighthouse country. This is how it is. Mr. Ambassador would like to invite you to dinner. When do you have time?"