The Job Was Mine
"Leave the rest of the work to me," Shen Qi said.
"You completed the entire system by yourself, and then proved that the Hodge conjecture is part of the system?" Lu Guozhen asked.
Shen Qi: "This is actually the same task. Once the system is established, Hodge conjecture will be proven. We already have plenty of material. Thank you, Director Lu and Director Wu, for providing the information."
"With so many people involved, the final integration work can only be done by Professor Shen. Old Lu, we can go back to China now. Let Professor Shen quietly deliver the final blow," Director Wu said.
Lu Guozhen shook hands with Shen Qi: "Shen Qi, we'll be waiting for your good news."
Shen Qi smiled and said, "Wait for my good news."
The following day, Lu Guozhen and Director Wu returned to China, while Shen Qi went into seclusion to fully integrate the SLW system and launch a general offensive against the Hodge conjecture.
The deep integration of the SLW system is far more complex than simply copying and pasting data from AG, TP, and AN together.
Interwoven and interconnected – this is Shen Qi's job, and also what he excels at.
Ou Ye's Doctoral Thesis was published in the Annals of Mathematics, and the IMU recognized that Ou Ye had completely proven the Yesmanovich Conjecture.
Media outlets describe Ou Ye as a low-key and mysterious woman whose name appears on the list of authors of the proof of the Riemann Hypothesis, and who has now proven the Yesmanovich Conjecture on her own.
The low-profile "Princess of Number Theory," Ou Ye, has never made any public statements. The only photo that reporters have captured of Ou Ye is of her and Shen Qi attending the Ostrowski Prize award ceremony in Switzerland. After the ceremony, the two were seen walking hand in hand at Euler's former residence when the reporter took the picture.
"So the truth is out: the 'Chinese Princess of Number Theory' is the girlfriend of the 'China Key.' Ou Ye is a student of Lyndon Strauss, a master of number theory and Fields Medal winner. She is a rapidly rising star in the field of number theory." --- A report from Springer Mathematical Annals.
"Greetings, Ou Ye Gege!" Shen Qi was overjoyed after reading the article in Springer Mathematical Annals.
Ou Ye said seriously, "Don't laugh, my dad said that our ancestors worked inside the Forbidden City during the Qing Dynasty."
"The people who work inside the Forbidden City are either members of the royal family or eunuchs. It's unlikely they're eunuchs, otherwise you wouldn't exist. So your ancestors were surnamed Aisin Gioro?" Shen Qi asked.
Ou Ye nodded. "That's possible. You have to keep it a secret, okay, Xiao Qizi?"
"Possibly? No way! I don't believe it! Your features don't resemble a princess at all. Someone like Ruby Lin is more like one. A princess's face must be round; otherwise, it's not princess-like." Shen Qi stated his opinion, adding, "I'll ask Old Ou another day. If you're trying to fool me... hmph."
"Go on, go on, Old Ou has been thinking about you." Ou Ye held up a math magazine to cover her face, so her expression couldn't be seen.
After graduating, Ou Ye had a lot of free time. She usually did her own thing and didn't bother Shen Qi in his work on the Hodge conjecture. Before going to bed at night, she would occasionally play around with Shen Qi.
Working, racking his brains, and playing around, Shen Qi gradually perfected the SLW system in his best state.
It was a very peaceful day in mid-August, no different from any other day.
During his regular working hours, Shen Qi wrote the last expression of the SLW system in a very ordinary way.
The paper, which is over 200 pages long, elaborates on a mathematical system in which objects resembling surfaces rather than standard surfaces cover the complex plane in the form of two, three, or infinitely many layers.
Shen Qi calls these seemingly paradoxical surfaces "S-type characteristic surface." After rotating around the origin once, twice, or N times, they connect with each other in a peculiar way, constructing a lush mathematical forest.
Based on topological principles and Mathematical Analysis, Shen Qi proposed an algebraic expression for "S-type characteristic surface," which characterizes algebraic cohomology classes. It completely skips Riemann manifold but still stubbornly defines useful topological invariants.
It was so special, so unique, that Shen Qi named it "S-type characteristic surface) ".
Even though the "S-type characteristic surface) " tried its best to escape the mathematical forest of SLW, the barrier set up by Shen Qi made it return empty-handed.
The team led by Director Wu made a significant contribution to the creation of entirely new algebraic closed-chain spaces, which are baffles, generated by variant versions of the eight Standard Model of the geometrization Geometric conjecture.
The conclusion is clear: the expression of "S-type characteristic surface" Hodge conjecture, "S-type characteristic surface)," belongs to the SLW system.
What Shen Qi needs to do is to make the SLW system public.
"Ralph, arrange an internal departmental meeting immediately. The attendees should include Director Feierman and Professor Faltings. If possible, I would very much like Professor Deligne from the Institute for Advanced Study to attend." Shen Qi made an internal call to Ralph's office.
Ralph's current official title is Ralph Miller Research Fellow; he is no longer Shen Qi's doctoral student, and he has his own office.
"Yes, Professor Shen, I'll take care of it right away!" Ralph had only been a researcher in the Mathematics Department for a few days, and in his subconscious, he was still Shen Qi's doctoral student. Shen Qi's orders were above all else.
Shen Qi suddenly realized something, and he laughed, "Researcher Miller, I promise this is the last time I'll ask you to help me organize a meeting."
Ralph didn't mind at all. "It's my pleasure to serve you, Professor Shen. Actually, I'm a little unaccustomed to my current position, probably because I graduated with my doctorate too early. You should see the expressions on my parents' faces when they attended my doctoral graduation ceremony. Yes, I love them. You know, Professor Shen, you have a very high reputation in our family. Hey, when will you come visit my hometown of Texas? I guarantee you'll experience the most authentic Western atmosphere."
"Ralph, it seems you're under a lot of work pressure." Shen Qi noticed that Ralph had become more talkative since becoming a researcher. He said, "Well, I have some good news for you, Ralph. Hopefully, it will help relieve your stress. The research topic that the department's higher-ups are reporting on this time is related to you. Yes, we've proven the Hodge conjecture."
"Oh my god, that's awesome, that's cool!" Ralph shouted excitedly on the other end of the phone.
Ralph was very efficient. That afternoon, in a conference room in the Mathematics Department building, all three attendees that Shen Qi had been looking forward to saw were present.
Feierman, who served as department chair for another three years, had to be present.
Faltings was proficient in multiple areas of mathematics, but his forte was Algebraic Geometry.
The oldest among them was Deligne, who came from the Princeton Institute for Advanced Study. He had worked in the Mathematics Department of Princeton University for a period of time and was a grand slam winner of the F+W+A competition. Deligne is the most authoritative expert in Algebraic Geometry in our time, and he had to be present.
Feierman, Faltings, and Deligne are all Fields Medal winners; the big shots are all here, while the junior researcher Ralph silently huddles in the corner, not daring to utter a sound.
Another Fields Medal laureate Shen Qi, got straight to the point. "Ladies and gentlemen, today I will be presenting a report on the proof of the Hodge conjecture. If you all agree with my solution in a few hours, I urge the department to arrange an international mathematics conference as soon as possible, which will be held at Princeton."