"Yu Lei, overall, your academic performance during this period is quite qualified. ”

Shen Qi agrees with Yu Lei's recent efforts, in a project with the University of Victoria, where Yu Lei has exhausted all his intellectual and mathematical talents.

In fact, Shen Qi did not give Yu Lei too much detailed guidance on the topic of function theory, he just pulled 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 received baptism in the Department of Mathematics of Shuimu University.

The reason why the local snake Guy family did not break Yu Lei's leg was that he gave Shen Qi face, second, it was risky to offend Princeton, and third, Yu Lei did make a certain contribution to the project.

At this time, it is necessary for Shen Qi to give Yu Lei more detailed guidance to help Yu Lei become successful as soon as possible, and he pointed out a loophole in the data: "Yu Lei, here you can't easily assert that F1 does not exist in the regular place of the point z=0, you lack a seamless rigorous argument. I'm not completely rejecting your arguments, but I hope you can do better. ”

"Listen up. Yu Lei immediately became serious and entered a state of preoccupied academic combat.

Shen Qi casually pulled out a piece of white paper and said as he wrote: "If there is a subcolumn of F1 such that {Fn} is normal at point 0, then there must be a positive number M1, so that ∣Fn(z)∣≥M1 is ∈△ for all z δ...... I briefly deduced that g here is a very mathematical subpure 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, skipped Montel's theorem, and wandered outside the direction of Julia, but it was even more charming." ”

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

Shen Qi drew two strokes on the scratch paper and proposed a new idea, if it did not rely on the direction of Julia, would it be possible to get the same regular family of pure functions?

"This is the direction of Shen Qi that came easily......" Yu Lei followed Shen Qi for nearly a year, and finally learned a little real skill from Shen Qi: "The Shen school is really broad and profound, and Brother Xiao Qi throws out some dry goods casually, which is very awesome!"

"Well, you're in the groove, good, hope to keep it up. Shen Qi was satisfied with Yu Lei's reaction, and he asked, "Math or girl, who is more charming?"

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

Shen Qi: "So I said it in vain?"

Yu Lei: "Mathematics can't be described as charming, it's a drug, it's a poison! In front of the girl, I can still stay awake, but in front of mathematics, it is difficult for me to quit drug addiction." ”

"You said it from the bottom of my heart, you touched me. Shen Qi said with a smile, he told Yu Lei about his understanding of function theory and his views on the follow-up research direction of this topic.

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

On another front, Ralph, another student of Shen Qi, was playing steadily.

Ralph has a calm personality, he has never poked Shen Qi in the basket, he doesn't drink, he doesn't smoke, he doesn't perm his hair, he doesn't flirt with his sister, such an honest and responsible American young man is not common.

Shen Qi often admonished Yu Lei to soak less girls and read more.

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

It varies from person to person, and it is not necessarily a good thing not to maintain a normal interaction with the opposite sex for a long time.

"I actually had a girlfriend for a short time, and within a week, we broke up," Ralph said. ”

Shen Qi asked, "Why?"

"Because of my religious beliefs, I refuse to act before marriage. The religious and patriotic Ralph was a good young man in the United States, and he quickly shifted the topic to Li Chao's algebra, which was his task for the project: "Professor Shen, the Yale members of the team have their opinions on the results of the outstanding Frobius nuclear irreducibility, and we have some disagreements, so the progress of the project is suspended. ”

"Details, I needed more details. "When students encounter problems, teachers solve problems, which is Shen Qi's responsibility.

Ralph handed Shen Qi two documents, one representing his ideas and the other from Yale, the project "A Study of Linear Lie Superalgebra and Its Superpowers", which was jointly promoted by Princeton and Yale.

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

"Okay. Ralph couldn't help but feel a little nervous when he saw Shen Qi with such an expression for the first time.

It seems that he is also a human being, not an omnipotent god...... Ralph sat on the couch and drank coffee, he looked at the portraits of Gauss, Euler, Newton, and Archimedes hanging on the wall, and said in his heart, they are not gods, they are close to God.

Shen Qi walked to the blackboard, thought for a moment, and then began to deduce with chalk.

The classical theory of reducing Lie algebra states that each irreducible projection is overlaid with Z-filtering.

After Lee, the algebraists were Bruoer, Humphreys, Holmes, and Shigeo Nakano, who perfected Lie algebra and Lie theory.

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

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

The project "A Study of Linear Lie Superalgebra and Its Excellence" jointly promoted by Princeton and Yale is certainly not a work of general numbers, and its academic value is extremely high.

Shen Qi found through the information submitted by Ralph that Ralph was scolded by Yale, and Ralph fell into a dead end as a result of the outstanding Frobenius nuclear irreducibility

Ralph is entangled in the Bruoer-type law of reciprocal reciprocation, but he does not have Humphreys's rigorous and perverted logical deduction ability, the unbridled imagination and creativity of Holmes and Shigeo Nakano, and the perceptual perception of Williamson and Academician Xi.

This topic of Li Chao's algebra has advanced to this stage, which has gone beyond the scope of academic argumentation delineated by Shen Qi before, and Ralph can't handle it, so he must personally take action from his master Shen Qi to point out a new direction for Ralph.