I Just Want to Be a Quiet Top Student

"Yu Lei, generally speaking, your academic performance during this period is fairly qualified."

Shen Qi agrees with Yu Lei's recent efforts. In this project with the University of Victoria, Yu Lei has exhausted all his intellect and mathematical talents.

In fact, Shen Qi did not give Yu Lei much detailed guidance on this topic of function theory. He just drew a framework and pointed out the direction.

Yu Lei still has a foundation in mathematics. After all, he was a member of the Olympiad national team, one of the top 6 in China, and was baptized in the Department of Mathematics of Shuimu University.

During the week when Yu Lei was on a business trip to Canada, he owed some romantic debts. The reason why the local local snake Guy family didn't break Yu Lei's legs was because it was to give Shen Qi face, secondly, it was risky to offend Princeton, and thirdly, because Yu Lei really did it for him. The project has made some contributions.

At this time, Shen Qi needs to give Yu Lei more detailed guidance to help Yu Lei become a talent as soon as possible. He pointed out a loophole in the data: "Yu Lei, here you can't easily assert that F1 does not exist at point z =0, you lack a seamless and rigorous argument. I am not completely denying your current argument, but I hope you can do better."

"All ears." Yu Lei immediately became serious and entered a state of full concentration in academic combat.

Shen Qi took out a blank piece of paper and said while writing: "If there exists a sub-column of F1 such that {Fn} is normal at point 0, there must be a positive number M1 such that |Fn(z)|≥M1 pairs All z∈△δ...I simply deduced it, here g is a non-constant meromorphic function."

Shen Qi turned the white paper 180 degrees so that Yu Lei could see the formula on the paper.

Yu Lei's eyes lit up, and he found a more exciting existence than a beautiful girl: "You simply deduced gn(ζ)=Fn(zn+ρnζ)/ρn, skipping Montel's theorem, and dissociated from Juli Outside the sub-direction, it is even more charming."

The French mathematician Julia put forward the Julia direction on the basis of the theory of his compatriot Montel. For the transcendental functions or transcendental meromorphic functions, the Julia direction is the direction starting from the origin in the complex plane C with the following properties Half-ray J={z|arg z=θ0}, which is an important theoretical basis in function theory.

Shen Qi sketched a few times on the draft paper and came up with a new idea. If we don't rely on the Julia direction, can we also get the regular family of holomorphic functions?

"This is Shen Qi's direction that came at hand..." Yu Lei followed Shen Qi for nearly a year, and finally learned some real skills from Shen Qi: "Shen's school is really broad and profound, brother Xiao Qi casually throws out some dry stuff , it is very awesome!"

"Well, you have entered the state, very good, hope to keep it." Shen Qi was satisfied with Yu Lei's reaction, he asked: "Mathematics or girls, who is more charming?"

"Do you still need to ask?" Yu Lei answered as a matter of course, and gave the answer without thinking: "Of course girls are more charming!"

Shen Qi: "So I was talking for nothing?"

Yu Lei: "Mathematics cannot be described as charming. It is a drug and poison! In front of girls, I can still stay sober, but in front of mathematics, it is difficult for me to quit drug addiction."

"You said it so sincerely, you moved me." Shen Qi smiled, and he told Yu Lei his understanding of function theory and his views on the future research direction of this topic.

Under the guidance of Shen Qi, Yu Lei benefited a lot and became more confident academically.

On the other front, another student of Shen Qi, Ralph, fought steadily.

Ralph has a calm personality. He has never made trouble for Shen Qi. He does not drink, smoke, perm his hair, or flirt with girls. Such an honest and responsible young American man is not common.

Shen Qi often warns Yu Lei to spend less time with girls and read more books.

Shen Qi's attitude towards Ralph who doesn't date girls and only studies is completely different: "Ralph, you need a girl, you can try to date a girlfriend."

It varies from person to person, and it may not be a good thing not to maintain a normal interactive relationship with the opposite sex for a long time.

Ralph said: "I actually had a brief date with a girlfriend, and within a week we broke up."

Shen Qi asked, "Why?"

"Because of my religious beliefs, I refuse to have sex before marriage." The religious and patriotic Ralph is a good young man in the United States. He quickly shifted the topic to Li Chao algebra, which is his project task: "Professor Shen, about the super group The results of Robinius' irreducible representation, the Yale members of the team had their views, we had some differences, and the progress of the project was postponed."

"Details, I need more details." When students encounter problems, the teacher solves them. This is Shen Qi's responsibility.

Ralph handed Shen Qi two documents, one representing his ideas, and the other from Yale. The project "Research on Linear Lie Superalgebras and Their Supergroups" was jointly promoted by Princeton and Yale.

Shen Qi flipped through the materials, frowned slightly, and said, "Ralph, this question is a bit tricky, drink a cup of coffee first, and give me some time to analyze it."

"Okay." Ralph felt a little nervous when he saw Shen Qi showing such an expression for the first time.

It seems that he is also a human being, not an omnipotent god... Ralph sat on the sofa drinking coffee, and he looked at the portraits of the four great mathematicians Gauss, Euler, Newton, and Archimedes hanging on the wall , Xin said, they are not gods, they are people who are close to gods.

Shen Qi walked to the blackboard, thought for a while and started deducing with chalk.

The classical theory of reduced Lie algebras states that the projection of each irreducible module is covered with a Z-filter.

The masters of algebra after Li were Brauer, Humphreys, Holmes and Shigeo Nakano, who successively perfected Lie algebra and Lie theory.

Australian mathematician Williamson, who won the Philippine Prize with Shen Qi last year, has made new contributions in this field.

The most famous and authoritative master of algebra in contemporary China is academician Xi Ruihua, who is the world's top in the subdivision of algebraic groups and quantum groups.

The project "Research on Linear Lie Superalgebras and Their Supergroups" jointly promoted by Princeton and Yale is certainly not just a superficial work, and its academic value is extremely high.

Through the materials submitted by Ralph, Shen Qi discovered that Ralph was pissed off by Yale. Regarding the result of the super-superb Frobenius nuclear irreducible expression, Ralph fell into a deadlock

Ralph is obsessed with Brauer's law of reciprocity, but he doesn't have Humphreys's rigorous and perverted logical deduction ability, Holmes and Nakano Shigeo's unconstrained imagination and creativity, and Williamson's , Academician Xi has insight into everything.

This topic of Li Chao algebra has advanced to the current stage, and it has gone beyond the scope of academic demonstrations that Shen Qi had previously delineated. Ralph couldn't handle it, so his master Shen Qi had to do it himself to point out a new direction for Ralph.