A genius? I just love studying.

Chapter 194 Two Choices: Princeton OR Professor Chen

Your math level has improved from 4 (3%) to 4%.

Your physics rating has increased from level 3 (94%) to 95%.

As the presentation ended, Chen Hui's screen was filled with comments. The presentation had fully demonstrated what he had learned and thought, as if it had made up for all the hard work he had put into preparing for the presentation over the past few days, and his proficiency had naturally increased rapidly.

Chen Hui walked out of the lecture hall with satisfaction. Hard work pays off, and he deserved all of this.

Chen Hui was surrounded by a group of people as soon as he stepped out of the lecture hall.

The crowd included reporters, scholars interested in the Yang-Mills equation, and, of course, many more students who had become Chen Hui's devoted fans.

"Master Chen, what's your next step? Is it the quality gap issue?"

"Chen Shen, I've also done quite a bit of research on the Yang-Mills equations. How about we collaborate on the mass gap problem?"

"Chen Shen, look this way."

"Hello Mr. Chen, this is Jing Xin from Weibo's operations department. I contacted you before..."

Chen Hui had experienced a similar scene once before at the European Mathematical Congress, but he was still a little scared. Fortunately, Yanbei University had anticipated this situation and invited dozens of security guards to maintain order.

With the help of security guards, Chen Hui was finally able to escape.

After enjoying a sumptuous meal of Nanjing cuisine in Tian Yang's office, Chen Hui prepared to return to his hotel to rest. The report meeting this morning, especially the final Q&A session, had taken a lot of his time.

However, before he could even leave Tian Yang's office, Yun Wei walked in.

"Old Qiu would like to introduce you to a few people."

Although Yun Wei was speaking to Chen Hui, his eyes were fixed on Tian Yang.

"Watch what I do?"

Tian Yang waved his hand. "Go ahead."

Although he had some disagreements with his teacher, he understood that Qiu Chengwu's influence in the international mathematics community was unmatched by his own, and there were some things he simply couldn't do. Now that Qiu Chengwu wanted to help Chen Hui, he naturally had no reason to stop him.

Chen Hui followed Yun Wei all the way to Tsinghua University, to the Qiu Chengwu Mathematics Center, and to Qiu Chengwu's office.

Several people were already seated in the office, and Qiu Chengwu was keeping them company while drinking tea and discussing Chinese tea culture.

Although Chen Hui had never met these people, he knew them all. The elderly man with gray hair was Dennis, whom he had mentioned to Qiu Lao a few days ago. There was also Alessio, the new Kofi Award winner, and Deligne from Princeton.

When Chen Hui came in, the others all looked over with smiles.

"Truly, heroes emerge from among the young!"

Dennis spoke first.

Qiu Chengwu also said with a smile, "I suppose there's no need for you to introduce yourselves."

"However, you may not know about Dennis's other identity."

"He is an advisor to the Clay Institute."

Chiu Cheng-wu offered a suggestion, but only touched upon it briefly.

"Haha, that's right, I did come here on a mission."

Dennis didn't mince words, saying, "Hui's proof is impeccable, but the quality gap issue has not yet been resolved."

"I suppose you don't need that million dollars right now. Why don't you leave it at the Clay Research Institute for now, and we'll send it to you in a few days? I'm sure you won't keep us waiting too long."

"hope so."

As Dennis said, Chen Hui is not so eager for the million-dollar prize right now, and the description of the Yang-Mills equation problem by the Clay Institute is indeed that it requires a rigorous mathematical proof of the existence of solutions in quantum Yang-Mills field theory and an explanation of the origin of the mass of elementary particles.

He hasn't completed all the proofs, so it's understandable that he won't receive the bonus for now.

"Alright, everyone's here, let's begin."

Qiu Chengwu stood up, looked at the whiteboard that Yun Wei had pushed in, and finally fixed his gaze on Dennis.

Dennis put down his teacup, took the marker from Yunwei, and quickly wrote down equations on the whiteboard.

Today's event was originally a closed-door seminar where Dennis and several leading figures in the mathematics community discussed their discoveries and challenges regarding the Navier-Stokes equations. Chen Hui, as a master of partial differential equations who proved the existence problem of the Yang-Mills equation, naturally came as a guest.

But only Chen Hui knew that Qiu Lao had played an important role in it.

Just a few days ago, he had discussed the Navier-Stokes equations with Professor Qiu.

At this moment, Dennis finally finished writing the formula, turned around and looked at everyone, "We have all been deceived by the pseudo-continuity of the velocity field for forty years!"

Dennis's Italian accent, resembling an operatic aria, proclaims, "The true fluid code lies in the closed-loop harmony of the vortex field!"

Chen Hui looked at the whiteboard, where the eddy current transport equation was decomposed into three layers of cohomological rings: the first layer is a smooth manifold of the Drum complex, the second layer exhibits twisted connections of non-commutative geometry, and the outermost layer suddenly breaks into discrete ECH complex fragments.

"By constructing a universal overlapping space with vortex tubes as fibers,"

Attracting all attention, Dennis turned back with satisfaction and wrote the viscosity term of the Navier-Stokes equations on the blackboard again. A strange homology group split appeared on the right side of the formula × ω. "We have successfully avoided the Leray-Hopf singularity in the conventional velocity field, but when the Whitney topology of the vorticity field is coupled with the physically renormalized swarm flow..."

"The biggest obstacle right now is here."

Dennis's tone turned somber. "My cohomology ring produced quantum gaps during the turbulent cascade—like a Klein bottle suddenly sprouting branches from a Riemannian surface."

The story ends abruptly here.

Clearly, Dennis did make some breakthroughs in the Navier-Stokes equations, but these breakthroughs were not enough for him to see the truth of this millennium problem.

Dennis returned to the coffee table, picked up his teacup, moistened his throat, and stared into thought at the formulas on the blackboard. He habitually used his steel coffee spoon to quickly make circles against the side of the cup, and the pale yellow liquid formed a precise parabola under the centrifugal force.

Perhaps it was because he was used to drinking coffee, but even when drinking tea, Dennis would habitually perform this action when thinking.

"Is your closed chain compatible with the monotonicity of Ricci flow?"

Deligne frowned and raised his question.

"That's just the foot-binding cloth of the geometric analysis school!"

Dennis, like a tyrant, exuded an unquestionable confidence: "My vortex closed loop forms a self-contained topological universe."

“Until four o’clock last Wednesday morning,” his voice suddenly became hoarse, “I discovered that when the vortex tube undergoes four-dimensional chiral torsion…”

Dennis, holding a teacup in one hand and a marker in the other, continued his derivation on the whiteboard. Suddenly, the integral of the formula ∮ω·dl jumped to a non-Hausdorff space.

After a heated discussion, the office fell silent again.

Dennis stirred his teacup again and said with a smile, "Look at this conservation of circulation."

As he spoke, he suddenly pulled the spoon away, and the center of the swirling coffee instantly caved in into a vacuum vortex core, "like a closed homology group in a three-dimensional manifold."

His finger traced a Hopf fibrous structure on the rim of the glass, and his Italian accent, accompanied by the aroma of cream, wafted over.

Clearly, he plays these kinds of games quite often.

Chen Hui watched the swirling tea liquid, and suddenly a brilliant idea flashed through his mind. He casually picked up an A4 sheet of paper from the desk next to him, and with a few quick folds of his fingers, he created a dodecahedron with Möbius twist: "What if we embed this into a non-compact manifold..."

He suspended the paper model above the teacup, and the Coriolis force of the rotating liquid immediately cast mottled topological patterns on the paper.

Dennis's azure pupils suddenly contracted, and his previously smiling eyes instantly turned serious. While pondering, he also pulled a stack of A4 paper from the desk beside him, picked up a pen, and quickly sketched the generators of the braided group. "Can your constructed Chern class capture the second discontinuity of the vortex field?"

“We need to introduce a connection form with torsion.” Chen Hui picked up a marker and wrote =d + ω + τ on the whiteboard, “Just like dealing with holomorphic vector bundles of Keller manifolds…”

Qiu Chengwu smiled happily. He originally just wanted to create an opportunity for these two academic experts who were studying the Navier-Stokes equations to exchange ideas. He didn't expect that the two would spark a conversation as soon as they met!

Alessio and Deligne exchanged a glance, both seeing amazement in each other's eyes.

Seeing the two people having a heated discussion in front of the whiteboard, they tacitly refrained from interrupting them.

Yun Wei stared at the whiteboard, seemingly lost in thought, not listening to their discussion.

When Professor Qiu asked him to invite Chen Hui, he thought that Chen Hui had in-depth knowledge of the Yang-Mills equations, but probably not so much about the Navier-Stokes equations.

But unexpectedly, it ended up like this.

Steam rose from the rim of the cup, gradually thinning until it disappeared completely, and the discussion in front of the whiteboard finally came to an end.

Let's work together!

"You're in charge of constructing the complex geometric framework, and I'll establish the topological quantization correspondence!"

Dennis looked at the young man with a bright smile, feeling very fortunate to have come to Yanbei to attend this seminar.

"Happy cooperation!"

Chen Hui smiled and extended his right hand to the old man who was more than five times his age.

One person's strength is limited, and he also needs to focus on proving the mass gap problem. Collaborating with this like-minded mathematical genius to solve the Navier-Stokes equations is undoubtedly a good choice.

If this feat can be accomplished, it will not only be significant for controlled nuclear fusion, but also for fields such as weather forecasting and aerospace.

and,

Your math level has improved from 4 (6%) to 7%.

Your physics rating has increased from level 3 (95%) to 96%.

Just one discussion significantly improved his proficiency in mathematics and physics, bringing him to his current level. Inspiration and knowledge often arise from collisions of ideas, and it is foreseeable that such improvements will become the norm in future collaborations.

If one can significantly improve their proficiency, then the honor of solving the Millennium Problem will be merely a byproduct, and it is perfectly acceptable to share it with others.

"Congratulations!"

With the dust settled, Qiu Chengwu finally spoke with a smile.

"I hope to hear good news from you soon."

Deligne offered his sincere congratulations. With these two heavyweights collaborating, he had a premonition that he might soon hear news that the existence and smoothness problems of the solutions to the Navier-Stokes equations had been solved.

"..."

Chen Hui knew Professor Deligne meant well, but something about what he said still felt off.

When the group finished their discussion, it was already 5 p.m. Chen Hui hurriedly said goodbye and rushed to Yanbei University. As is customary, a cocktail party would be held after such a grand report meeting to celebrate.

Yanbei University prepared a grand banquet at the Boya Hotel. If Chen Hui, the protagonist of this banquet, were to be absent, the banquet would be meaningless.

Of course, Chen Hui only made a brief appearance at the party, staying for less than half an hour before returning to his hotel to continue his research.

The next afternoon, Chen Hui and his teacher Yuan Xinyi flew from Beijing Airport to Jiangcheng Tianhe Airport.

As soon as Chen Hui reached the exit, he saw Wang Qiming, who had been waiting there for a long time.

"Welcome back!"

Wang Qiming smiled broadly as he looked at the two teenagers walking towards him. These weren't two people at all, but two living Fields Medals walking right towards him.

"Is the Vice Dean so free?"

"When I lose interest in academics in the future, I'll try to get a job as a vice dean."

Yuan Xinyi and Wang Qiming were old colleagues. This was the first time he had been picked up at the airport by the vice president, even though he had been on so many business trips. He knew why, so he couldn't help but make a sarcastic remark.

He insulted Wang Qiming twice with just one sentence, proving that when scholars curse, they can truly do so without using a single vulgar word.

Wang Qiming didn't seem to care. "No problem. If you're willing, I'll give you this position anytime!"

"Come on, come on, get in the car quickly."

Wang Qiming, seeing the crowd around him already staring at them, urged them on with his experience.

Although the hype surrounding the European Mathematical Congress has died down, Chen Hui's lecture at Yanbei University yesterday was still widely reported by major media outlets, reigniting public interest. Some people have already recognized Chen Hui, but confirmation is still being made.

If we stay any longer, the situation will become difficult to manage.

"Take these next couple of days to prepare. Just pick any paper as your graduation thesis, and the department will arrange a defense for you, then you can graduate!"

As the car started, Wang Qiming spoke to Chen Hui.

Although Chen Hui hasn't even finished a semester of his freshman year, given his current strength and status in academia, it would indeed be somewhat inappropriate to let him continue as a college student.

When we go out for academic exchanges in the future, everyone will address each other as Professor Yuan or Professor Qiu, but we will call Chen Hui "classmate Chen," which is a bit inappropriate.

Chen Hui nodded.

He really doesn't need to stay at school any longer.

"The college has given you two options."

Wang Qiming was clearly not there simply to pick you up from the airport. "The university will directly award you a doctoral degree and then provide you with a professorship."

"PhD?"

Chen Hui was surprised.

Although he did pursue a combined bachelor's, master's, and doctoral program, graduating in just one semester is still quite astonishing.

Moreover, he was given a professorship right after graduation; I wonder what those teachers who are still lecturers in their thirties will think.

"Of course!"

Wang Qiming said confidently, "Any one of your papers has reached the level of a doctoral degree. Giving you a doctoral degree is legal, compliant, and reasonable!"

"Of course, you have a second option."

“We’ve contacted Princeton and arranged a 4+2 program for you. We’ll first award you a master’s degree, and then send you to Princeton to pursue your doctoral degree.”

"Princeton also has a collaboration with Jiangcheng University?"

Chen Hui was somewhat surprised, not expecting Jiangcheng University to have such power.

Wang Qiming chuckled, "That depends on who the student is."

Chen Hui realized that Princeton had offered him a professorship, but he had declined it.

(End of this chapter)