Chapter 114: Which of You Got It
Tang Yanshan looked at the scratch paper in his hand, his facial expression gradually became solemn and serious, and after about half a minute, he raised his eyes and looked at Xu Yun to ask about this question.
"How did you start studying algebraic geometry?"
"I've been studying abstract algebra lately, and I came across the concepts of algebraic geometry and wanted to learn about them."
Xu Yun had a sincere smile on his face, and met Tang Yanshan's gaze and replied in a deep voice.
It is impossible for him to say that he is trying to prove the Hodge conjecture, which is still far from his current level of mathematics.
This interpretation is undoubtedly more appropriate.
Tang Yanshan checked Xu Yun's final results and knew that he had mastered the professional courses in the sophomore year very well, and it was quite normal to start learning the content of the junior year now.
Abstract algebra is a textbook in the third year, but algebraic geometry is more complicated to understand.
You will only be exposed to learning after you are admitted to graduate school.
Xu Yun has not yet understood abstract algebra, so he thinks that studying algebraic geometry will inevitably make some mistakes.
I didn't think I had to run fast to learn how to walk.
The more talented people are, the more they must work steadily and thoroughly grasp each basic knowledge.
It was precisely because he was worried about this that he deliberately asked Xu Yun to ensure that the other party did not have the problem of being greedy and chewing.
After listening to Xu Yun's answer, he hesitated a little and decided to talk about it.
Then he stood up, picked up a piece of chalk with his thumb and forefinger, and wrote the process of argumentation for the question facing the blackboard.
Xu Yun stared intently, for fear of missing any step.
The most important thing in the process of learning algebra is to combine the image with the equation, to see the image as the set of all the points on the coordinate plane that satisfy a particular equation, that is, the set of all the solutions of the equation on the coordinate plane, and to see the equation as an abstract description of the image.
But in algebraic geometry, there are countless polynomials and images like this.
Meanwhile.
The graduate students in the audience were also attracted by the content on the blackboard, and they all confirmed what Tang Yanshan was writing.
"What Professor Tang wrote, it looks so complicated."
"Seems to be an algebraic geometry proof."
"This guy is too wicked, isn't he, has he started studying algebraic geometry as a freshman?"
"I must have studied as a fake graduate student, and I couldn't understand the process of Professor Tang's writing."
"Where did he get the question?"
Tang Yanshan didn't care about his graduate students, and after writing the whole certification process, he turned around and explained it to Xu Yun, and asked two related extension questions from time to time during the process.
After Xu Yun's own ability has been greatly improved, what he is best at is understanding problems.
Therefore, after listening to Tang Yanshan's explanation, he suddenly understood that all the questions were answered fluently.
After speaking, Tang Yanshan smiled and asked, "Do you understand?" ”
"Got it." Xu Yun nodded.
Hearing this, a relieved smile appeared on Tang Yanshan's face.
If he had just come into contact with Xu Yun at that time, he might have replied with a sentence You know a fart.
But now that he knows Xu Yun's strength and character very well, since he said that he understands, there will definitely be no problem.
It's just that those graduate students are miserable, and after listening to Tang Yanshan's explanation, they still have a blank look on their faces, obviously they didn't understand at all, although they really wanted Tang Yanshan to tell them again, but they couldn't say the words when they came to their mouths. After all, the people who asked the question had already understood, and they were embarrassed to speak to Tang Yanshan.
Tang Yanshan didn't erase the formula on the blackboard, and then thought of something and specially instructed Xu Yun.
"I know you're very talented in mathematics, but for now, you still have to learn abstract algebraic real variable functions and functional analysis well, and it's not too late to get in touch with algebraic geometry later."
"Don't worry, Professor Tang, I'll plan it." Xu Yun replied according to Tang Yanshan's words.
The matter was basically over at this point, but Tang Yanshan noticed that Xu Yun had no intention of leaving, so he took a sip of tea from the cup and moistened his throat before speaking.
"What's the matter?"
"That's like Professor Tang, can you help me recommend a few textbooks related to topology?"
Xu Yun said his purpose with a little weakness.
When Tang Yanshan heard this, his face immediately fell.
Just now I said that I can plan well, but as a result, the problems of algebraic geometry have not been completely solved, and now I have to contact topology again.
I really think I have forty-eight hours a day.
"You kid......"
I was about to teach aloud, but I stopped suddenly after saying three words.
Then he waved his hand and replied.
"Forget it."
"With your character, even if you don't let you learn, you will definitely contact yourself in private."
"I'd better recommend you a few suitable textbooks."
"At least there will be fewer detours this way."
As he spoke, he took out a pen from his pocket and wrote the names of several textbooks on the scratch paper.
"These textbooks can be found in the school library, in short, remember to arrange your time reasonably." Tang Yanshan put away his pen and handed the scratch paper back to Xu Yun in front of him.
"Thank you, Professor Tang." Xu Yun suddenly felt like a treasure, took it and hurriedly thanked him.
It happened that the bell rang at the same time for the end of class, and Tang Yanshan began to pack his things and prepare to leave, obviously there were other things to be busy with.
Soon, as Tang Yanshan and Xu Yun left the Q&A room one after another, those graduate students immediately got up and came to the blackboard.
Discuss the lots of formulas on the blackboard.
"This junior doesn't know where to find the question, but it's quite classic and interesting."
"If any of you understand it, I still don't understand it."
"I really regret knowing that I should have asked Professor Tang to speak twice more just now."
"That junior, do you think he really understands or does he fake understand?"
"I understand a little."
As one of the tall boys raised his hand, everyone quickly diverted their attention and took out their notebooks or directly opened their mobile phone cameras to ask the other party to speak again.
The learning atmosphere is even stronger than in the class just now.
Tang Yanshan didn't know what was happening in the Q&A room at this time, and as soon as he walked to the stairs, he saw Xu Yun waiting there.
He paused for a moment and asked, "If you kid have anything else, just tell me everything." ”
"I'm waiting to go to the history department."
Knowing that Tang Yanshan was going to the Department of History to pick up his lover, Xu Yun didn't want to delay too much.
With a smile on his face, he immediately got straight to the point.
"Yes, it's a little bit of a trifle."
"I know you won't send me something for no reason, just say something." A smile appeared on the corner of Tang Yanshan's mouth when he heard this, as if he had already guessed the situation, but after saying the previous words, he added: "First of all, if you can do it, I will definitely help, if you can't do it, it's useless for you to go to Dean Qin." ”
"That's Professor Tang, I want to join the research group in our department to participate in the project research."
Xu Yun didn't hesitate any longer this time, and looked at Tang Yanshan's expression after saying his true purpose.
In order to complete the task, he must enter the research group, even if it is mainly to learn and familiarize.
However, after noticing Tang Yanshan's solemn face, his mood immediately sank and he understood that this matter was probably going to be ruined.
was about to open his mouth to respond, but Tang Yanshan's voice sounded first in his ears.
"You want to prepare for the Higher Education Club Cup, right?"
Without waiting for Xu Yun to answer, he continued: "Mathematical modeling is different from real subject research, if you can have experience in this area, it is indeed more friendly than you in the competition." ”
"I'll help you pay attention to it first."
Xu Yun didn't expect Tang Yanshan to think of the Higher Education Society Cup, but when he saw that there was hope, he naturally wouldn't dwell on this.
Hurriedly expressed his gratitude from the bottom of his heart: "Thank you, Professor Tang." ”
"Don't be busy thanking you yet, it's not certain if you can make it." Tang Yanshan smiled lightly and waved his hand.
Due to the slight distance between the Department of Mathematics and the Department of History, Tang Yanshan did not talk to Xu Yun for too long.
Then he left in a hurry.
Xu Yun came back from the Q&A room, and in the next few days, he returned to his extremely regular life again.
In addition to listening to lectures on abstract algebra real variable functions and functional analysis, he spent most of his time in the library studying algebraic geometry and topology.
Combined with the proof process of Hodge's conjecture in my mind, I can see it a little more clearly.
Of course, it's still far from being thorough.
According to Meng Songyan's report, the company has begun to contact mobile phone manufacturers in the hope of establishing cooperation.
However, when entering a new market, it is obviously possible to have a completely smooth initial situation.
Fortunately, the company has the support of the surveillance image optimization business, and can negotiate several cities every month, and has always maintained a large amount of cash inflow into the company.
Among them, Pingzhou City is a relatively early batch.
Soon the time entered March, the temperature began to rise, and the scenery on campus was more vibrant.
"Brother Dong, you really want to sign up for the Spring Games, I've never seen you run."
At noon, Zhao Yuefeng was talking to Qian Yudong while eating in the dormitory, and his tone showed obvious worry and disbelief.
Jingzhou University holds a sports day every spring, requiring each dormitory to send personnel to participate, and under normal circumstances, people like Qian Yudong who don't like sports should hide far away. As a result, he took on this responsibility for others as the head of the house, and decisively signed up for the two events of sprint and high jump.
This operation can be said to have stunned the other people in the dormitory.
"I think Xu Yun is quite suitable for participation, he often gets up in the morning and runs in the morning to exercise." Zhou Qi tied the food bag after eating, and took a mouthful of the conversation.
As soon as the words fell, Qian Yudong's voice came from the dormitory: "Xu Yun is so busy studying every day, how can he be distracted by this kind of thing, this difficulty is still left to me, the head of the dormitory, to fight alone." ”
It's really touching under the emotion.
But at this time, Zhao Yuefeng suddenly thought of something, put down his chopsticks and turned around and threw out a question.
"I heard that there are not only many female sports in this year's sports day, but also many colleges have organized cheerleading teams."
"The headmaster."
"You don't ...... because of this?"
"Fengzi, you disappointed me too much, is the head of this house the kind of person who values color and ignores friends?" Qian Yudong ignored the cheap smile on Zhao Yuefeng's face, and still maintained his image seriously.
Xu Yun just wanted to reply to the last sentence when he heard this, but he was attracted by the mobile phone screen lit up on the desktop, and he looked over to see that it was Tang Yanshan's call.
Thank you for the 500 coin reward that Qin Si forgets!
(End of chapter)