"Create difficulties, create difficulties...... How do you create?" Director Wu scratched his ears and cheeks, he was used to step-by-step, so he couldn't create a temporary difficulty.

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

"Homology and homony in topology are also one of my research directions. Director Wu said.

"In that case, then I'll help Director Wu create difficulties. Shen Qi picked up the chalk and wrote on the blackboard:

1. Standard spherical S

2. Euclidean space R

3. Hyperbolic space H^3

4、S×S

5、H×S

6. Left-invariant Riemannian metric on universal coverage of a special linear group

7. Power-zero geometry

8. Solvable geometry

After writing these eight lines, Shen Qi patted the chalk ash on his hand.

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 one of the special cases, so Perelman proved the Poincaré conjecture." ”

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

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

"Therefore, Director Wu, we should concentrate all the topological forces of our center to derive and derive these eight models, and the derivation direction should be leaning on the subspace of the closed chain on the algebra. Shen Qi gave directional suggestions.

After 30 years of hard work in the mathematics community, the experienced Director Wu was excited, and his hands were trembling: "Professor Shen's intention, is it ...... The hardest math problem?"

Shen Qi nodded and said: "The Hodge conjecture is considered by mathematicians to be the most difficult of the seven millennial problems, since the Hodge conjecture connects algebraic geometry, topology, and mathematical analysis, can we reverse the three directions of algebraic geometry, topology, and mathematical analysis, and reverse derive to prove the Hodge conjecture?

"Of course!" Director Wu shuddered with excitement, and he asked: "Thurston geometry conjectures the derivation of the subspace of the closed chain on the algebra of the eight standard models, and this new topic is no problem to declare 973!

"I won't spend a lot of time in China in the next year or two, and I will only return to China for a month or two a year, and I am willing to provide technical support if the center needs me. Shen Qi expressed his attitude.

Director Wu immediately decided: "Okay, it's decided, you are the academic leader of this new topic, I will be your deputy, and the researchers who are good at topology in our center are all available for you to deploy." ”

Shen Qi: "If there is a chance, the center can send a researcher to Princeton for a visit and exchange, and I will be responsible for receiving it at Princeton. ”

Director Wu clasped Shen Qi's hand with both hands, and was particularly moved: "Professor Shen, on behalf of the Morningside Mathematics Center, on behalf of our young researchers, and on behalf of Chinese mathematicians, I would like to thank you for your sincere concern for Chinese mathematics and the cultivation of future generations for Chinese mathematics! There are many famous people in our center, and you are the only one who really does practical things for us! Although you are young, you have a lot in your heart. ”

The number of places in China to visit the Princeton Department of Mathematics every year is very scarce, and the Morningside Mathematics Center can apply, and the key is that there must be professor-level people in Princeton who are willing to accept visiting students.

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

Shen Qi also gained something, money is not a trivial matter, and he inadvertently spelled a second piece of territory for Hodge's conjecture.

One of the conditions for progressing from Level 14 to Level 15 in Mathematics is to solve at least one of the two millennial puzzles, the Hodge Conjecture and BSD.

A few months ago, when Shen Qi was designing a doctoral project with Yu Lei and Ralph, he put together the first piece of layout, and algebraic geometry is the most important part of Hodge's conjecture, which is often regarded as a super problem of algebraic geometry.

Yu Lei and Ralph's doctoral topics are related to algebraic geometry, and Shen Qi completed the framework design by himself.

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

Shen Qi returned to Yan University, and as a visiting professor at the School of Mathematics of Yan University, he gave another lecture to all students in the university.

The Yan University Mathematics Institute was well-informed, and they soon learned of Shen Qi's preference for the Morningside Mathematics Center.

Lu Guozhen, Shen Qi's mathematics teacher when he was an undergraduate, and is now the director of the Mathematical Analysis Teaching and Research Department of the School of Mathematics of Yan University, invited Shen Qi to tea.

Drinking and chatting, Lu Guozhen said: "The Morningside Mathematics Center has a very good background, and their funding source is provided by the big boss in Hong Kong, and the other big backer is the Institute of Mathematics of the Academy of Sciences. To put it simply, the Hong Kong boss is in charge of funding, and the Academy of Sciences is in charge of academic protection, and I am very optimistic about the future development of the Morningside Mathematics Center, especially after Shen Qi became their senior advisor. ”

Shen Qi knocked on the table: "Hey, Director Lu, why do I think you have something to say? You have changed, you have become more sarcastic about me." ”

Lu Guozhen: "Shen Qi, you have also changed, and you don't love Yan Da anymore." ”

Shen Qi: "Didn't I just help the Morningside Math Center solve a few math problems, and by the way, I helped them open a new project." The senior advisor at the Morningside Math Center is a part-time job for me. Yanda's work is my job, and I will not put the cart 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, routine operation. ”

Lu Guozhen scolded with a smile: "Stinky boy, there is a kind of thing you said when you return to Princeton." ”

"Director Lu, let's not talk about these vain things, let's talk about some dry goods, how many backbones do you have engaged in mathematical analysis?" Shen Qi asked with a positive face, ready to talk about business.

Lu Guozhen was triumphant: "That's too many to count, half of the country is mine." ”

Shen Qicai didn't believe it: "You just blow it!" Director Sun was the first to disagree. ”

Lu Guozhen was unhappy: "Shen Qi, you are just eccentric, Lao Sun's status in your mind is always higher than mine." Hey, waiter, what kind of tea is this? It's too bitter, please renew the pot of tea!"

"Don't change the waiter, this tea is very good. Shen Qi smiled and waved his hand 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?"

Burst!

Lu Guozhen took a sip of tea and sprayed it all over the ground, he wiped the remaining tea leaves on his lips, and stared at Shen Qi in surprise: "You...... You're going to do something about Hodge's conjecture after all?"