I Just Want to Be a Quiet Top Student

"Create a difficulty, create a difficulty... how do you create it?" Director Wu scratched his head, he was used to step by step, and asked him to create a difficulty temporarily, but he couldn't create it.

"Director Wu, there are several researchers in our center who focus on topology. Liang Gong is good at algebraic topology, and Wei Gong has a lot of experience in geometric topology. The topological linear space studied by Qin Gong is divided into functional analysis, but Qin Gong He also has a solid foundation in topology." Shen Qi has come into contact with all the researchers in the center in the past few days, and he has memorized the academic characteristics and personality characteristics of each researcher.

"The theory of homology and homotopy in topology is also one of my research directions." Director Wu said.

"In this case, let me help Director Wu create difficulties." Shen Qi picked up the chalk and began to write on the blackboard:

1. Standard sphere S

2. Euclidean space R

3. Hyperbolic space H^3

4. S×S

5. H×S

6. Left-invariant Riemannian metrics on the universal cover of special linear groups

7. Zero Power Geometry

8. Solvable Geometry

After writing these eight lines, Shen Qi patted the chalk dust on his hands.

Director Wu is very familiar with the content on the blackboard: "These are the eight standard models of Thurston's geometric conjecture, which Perelman proved in 2003, and the Poincaré conjecture is a special case, so Perel Mann proved the Poincaré conjecture."

Shen Qi seemed to have an idea: "Yes, but the work we are about to carry out is different from Thurston, Perelman, and Poincaré. We borrow the successful experience of our predecessors and innovate."

"So..." Director Wu was a little puzzled.

"So Director Wu, concentrate all the topological power of our center to derive these eight models, and the direction of derivation should be on the algebraically closed subspace." Shen Qi gave a directional suggestion.

After 30 years of hard work in the mathematics field, the experienced director Wu was shocked, his hands were shaking: "Professor Shen's intention is... the most difficult mathematical problem?"

Shen Qi nodded and said: "Hodge's conjecture is considered by mathematicians to be the most difficult of the seven millennium problems. Since Hodge's conjecture connects algebraic geometry, topology, and mathematical analysis, can we invert it, algebraic Geometry, topology, and mathematical analysis are all three directions, and the reverse derivation proves Hodge's conjecture? Two of my doctoral students in Princeton are doing research on algebraic geometry. Director Wu, are you willing to accept the task of the topology section? "

"Of course!" Director Wu was trembling with excitement, and he asked: "Thurston's geometric conjecture, the derivation of the subspaces of the algebraic co-closed chains of the eight standard models, this new project application 973 is no problem! Then Shen Professor, will you fight with us?"

"In the next one or two years, I won't spend much time in China. I will only return to China for one or two months a year. If the center needs me, I am willing to provide technical support." Shen Qi expressed his attitude.

Director Wu made a decisive decision: "Okay, that's it. You are the academic leader of this new project, and I will be your deputy. The researchers in our center who are good at topology are all at your disposal."

Shen Qi: "If there is a chance, the center can send a researcher to Princeton for a visit and exchange. I will be responsible for the reception at Princeton. While I still have some rights in Princeton, I can help one by one."

Director Wu held Shen Qi's hand tightly with both hands, and was very moved: "Professor Shen, on behalf of the Morningside Mathematics Center, our young researchers, and Chinese mathematicians, I thank you. You really care about Chinese mathematics and cultivate Chinese mathematics. Later people! There are quite a few famous big cows in our center, and you are the only one who really does practical things for us! Although you are young, you have a lot of things in your heart."

There are very few places in China to visit the Department of Mathematics of Princeton each year. The Morningside Mathematics Center can apply. The key is that there must be professor-level figures in Princeton who are willing to accept visiting students.

Shen Qi stayed in the Morningside Mathematics Center for a few days and did several important and practical things for the center, which won the admiration and respect of all the mathematics workers in the center.

Shen Qi also gained something. It is a trivial matter whether money is not money, and he inadvertently created a second territory for Hodge's conjecture.

One of the conditions for Mathematics Grade 14 to be promoted to Grade 15 is to solve at least one of the two Millennium Problems, Hodge's Conjecture and BSD.

When Shen Qi designed the doctoral project with Yu Lei and Ralph a few months ago, he put together the first layout. Algebraic geometry is the most important part of Hodge's conjecture. Hodge's conjecture is usually regarded as an algebraic conjecture. Geometry super puzzles.

The doctoral projects of Yu Lei and Ralph are related to algebraic geometry, and Shen Qi completed the frame design by himself.

"The proof of Hodge's conjecture is still short of the last piece of territory, mathematical analysis."

Shen Qi returned to Yanda University, and as a visiting professor of Yanda School of Mathematics, he gave another lecture for all students in the school.

Yanda Mathematics Institute was well informed, and they quickly learned of Shen Qi's preference for Morningside Mathematics Center.

Lu Guozhen, who was Shen Qi's mathematics teacher when he was an undergraduate student and is currently the director of the Department of Mathematical Analysis at Yanda Mathematics Institute, invited Shen Qi to drink tea.

While drinking and chatting, Lu Guozhen said: "Morningside Mathematics Center has a very good background. Their source of funds is provided by the big boss in Hong Kong, and another big backer is the Institute of Mathematics of the Academy of Sciences. To put it simply, the boss in Hong Kong is responsible for the funds. , the Academy of Sciences is responsible for academic asylum, and I am very optimistic about the future development of the Morningside Mathematics Center, especially after you, Shen Qi, become their senior advisor."

Shen Qi knocked on the table: "Hey, Director Lu, why do I think there's something in your words? You've changed, and you've become more sarcastic about me."

Lu Guozhen: "Shen Qi, you have also changed, you don't love Yanda anymore."

Shen Qi: "Didn't I just help the Morningside Math Center solve a few math problems, and help them start a new project by the way. The senior consultant of the Morningside Math Center is just a part-time job for me. The work of Yanda It is my job, and the cart will not be put before the horse."

Lu Guozhen asked, "What about Princeton?"

Shen Qi took a sip of tea and said, "Princeton is just a mix of academic background and qualifications, it's a routine operation."

Lu Guozhen scolded with a smile: "Stinky boy, if you have the guts, you can say the same when you return to Princeton."

"Director Lu, let's stop talking about these nonsensical things, let's talk about some dry stuff, how many people are the backbone of your mathematical analysis?" Shen Qi asked seriously, ready to talk about serious business.

Lu Guozhen said triumphantly: "That's too many to count, and half of the country in several colleges is mine."

Shen Qi didn't believe it: "Just blow it up! Director Sun was the first to refuse."

Lu Guozhen was always upset: "Shen Qi, you are biased, and your grandson will always have a higher status than me in your heart. Hey, waiter, what kind of tea is this? It's too bitter, please trouble Huan to make new tea!"

"Don't change the waiter, this tea is pretty good." Shen Qi smiled and waved to the waiter, and then said to Lu Guozhen: "Director Lu, are you interested in cooperating with the mathematical analysis method of Hodge's conjecture?"

puff!

Lu Guozhen sprayed tea all over the floor. He wiped the remaining tea leaves on his lips, and stared at Shen Qi in surprise: "You...you are going to make a move on Huo Qi after all?"