Mathematics Level 15, Humanity's Pinnacle
On the walls of Shen Qi's office hang portraits of the four God of Mathematics: Gauss, Euler, Newton, and Archimedes.
The system's reference template for Level 15 mathematics is Gauss, who was a god-like figure in Gauss time.
Shen Qi's hand trembled slightly as he transferred his academic points to a specific subject without needing to use his hands.
The slight tremor was because Shen Qi was about to ascend to the level of the God of Mathematics, entering a new realm of Invincible Loneliness.
On a sunny and breezy day, Shen Qi advanced his math grade to level 15.
System: "Congratulations, host, your math level has increased to level 15! Your perception, logical reasoning, insight, judgment, and calculation abilities in the field of mathematics have reached the pinnacle of human capabilities!"
Shen Qi's hands trembled violently. This was invincible, this was the pinnacle.
Being invincible is indeed lonely. Shen Qi is the only one in the office, with no flowers, no applause, and no cheers.
"Is there a level 16, invincible even in the non-human realm?" Shen Qi interacted with the system in his consciousness. He rarely interacted with the system because it was cold and didn't like interacting with its host.
System: "Yes."
Shen Qi: "Who is the reference template for the Class of 2016?"
System: "A Level 16 reference template does not exist in human history."
Shen Qi: "Then who is the reference template in the history of non-humans?"
The system did not respond.
Shen Qi then asked, "How many academic points are needed to advance from level 15 to level 16 in mathematics, or are there other conditions that need to be met?"
The system did not respond.
Shen Qi: "Does your system possess the genetic attribute of direct relatives?"
The system did not respond.
Undeterred, Shen Qi asked again, "One last question: Where did you come from, and where are you going? Did I have other hosts before? After I die, in what form will you be passed down?"
The system did not respond.
Okay, Shen Qi admits defeat.
It's obvious that math has already reached the highest level, because the system hasn't set any advancement requirements above level 15.
The so-called non-human realm may refer to another plane of power, outside the scope of human consideration, or rather, humans are not qualified to enter that realm.
Mathematics Level 15, Physics Level 14, Chemistry and Biology Level 12, Politics Level 8, and all other subjects Level 5, with a remaining balance of 61277 academic points.
Shen Qi's academic points were almost completely wiped out at once, plummeting from tens of millions to tens of thousands.
Huge investments are bound to pay off. Shen Qi, who had just reached the pinnacle of human mathematical ability, suddenly had a surge of inspiration. This inspiration came so naturally, so effortlessly, that it could hardly be called inspiration anymore, but rather an instinctive desire.
Shen Qi picked up a pen and started doing calculations on the draft paper. His intuition told him that L-functions and automorphic representations were the key.
The basic definition of an L-function is a Dirichlet series with Euler product property. The three classic L-functions that have been thoroughly studied by mathematicians are the Riemann zeta function, the Dedekind zeta function, and the Dirichlet L-function.
All three were 19th-century mathematicians, while Artin and Hecke were the leading figures in this field in the 20th century.
Langlands is actually an integrator; he possesses a high degree of strategic vision and a broad perspective.
It takes courage to integrate number theory, algebra, analysis, and geometry in research.
Langlands did substantial work, Langlands Program promoted the development of Mathematical Grand Unification.
However, since the Langlands Program was proposed decades ago, only the fundamental lemma has been proven by Ngô Bảo Châu, and there are still more important tasks to be completed.
The 19th and first half of the 20th centuries saw a surge of mathematical geniuses, a golden age in the History of Mathematics.
Langlands, now very old, had pinned his hopes on two of the most promising young mathematicians of the 21st century: Terence Tao and Ngô Bảo Châu.
Both Tao and Wu are of Asian descent. Coincidentally, they participated in the same IMO when they were in high school. Ngô Bảo Châu won a gold medal with a perfect score, while Terence Tao also won a gold medal, but not with a perfect score.
Terence Tao a very well-rounded mathematician, proficient in multiple fields of mathematics, including harmonic Harmonic Analysis, Partial Differential Equations, Combinatorics, Analytic Number Theory, and automorphic forms. He is hailed as the "Mozart of Mathematics Community."
Ngô Bảo Châu focused on Algebraic Geometry and Representation Theory, and after ten years of dedicated work, he proved the fundamental lemma of the Langlands Program.
If Tao and Wu were to form a couple, their combined professional expertise would perfectly cover most of the topics mentioned in the Langlands Program.
However, Tao and Wu never formed a CP (couple), and there are still many unresolved issues regarding whether mathematics can Grand Unification.
Shen Qi is trying to solve these problems. He is attempting to establish connections between the Riemann zeta function, Dedekind zeta function, Dirichlet L-function, Artin L-function, and Hecke L-function. He believes this is a breakthrough point for the Mathematical Grand Unification, or rather, a very important component.
Shen Qi defined a new automorphic L-function, which is somewhat similar to the Artin L-function, but its analytic extension still needs to be proven.
"Phew..." Shen Qi had been working all day, always committed to doing his best to fulfill his promises.
The others are Ou Ye and Li Zhenqiang.
Shen Qi said that in the project of Mathematical Grand Unification, Ou Ye was in charge of number theory and Li Zhenqiang was in charge of Algebraic Geometry.
The rest of the work was all handled by Shen Qi.
The field of automorphic L-functions is related to algebra, number theory, and analysis, and Ou Ye was familiar with this field.
Everyone has their own area of expertise, and Shen Qi knew very well what his wife's area of expertise was.
Ou Ye understands automorphic L-functions, but she cannot yet have a complete grasp of them.
Shen Qi wanted to find someone who would help him verify and find loopholes in his ideas based on a certain problem and perform specific calculations.
For example, in the Navier-Stokes equations project, Shen Qi proposed the "Shen Qi Algorithm," Witten manually verified this new algorithm.
The results were excellent, and the NS equation project was declared a success.
The person who helps Shen Qi with calculations and finds faults must possess extremely high academic level in a specific field. Even if they are not top-tier or expert-level, they should at least be a leading scholar in a certain area.
It's still possible for the God of Mathematics of the 2015 cohort and the math prodigy of the 2014 cohort to have a conversation. Shen Qi to talk to Terence Tao about self-definition, but unfortunately, the erudite and versatile Terence Tao Small Joker in the United States, so he couldn't meet him immediately.
Around 4 PM, Shen Qi left the center with the manuscript he had just finished writing and went to the School of Mathematical Sciences.
Without alerting Ou Ye, Shen Qi went straight to the third floor and knocked on the door of the Vice Dean's office.
"Please come in!" came the loud voice of Vice Dean Lu Guozhen from inside the door.
Shen Qi pushed open the door and went in, seeing Xuan paper spread out on Lu Guozhen's large desk.
Lu Guozhen appeared to have just finished writing a piece of calligraphy; the ink on the Xuan paper was still wet.
"Having just drunk the Changsha water, I now eat the Wuchang fish... What excellent calligraphy, what a fine style, just like the tune of Shui Diao Ge Tou '!" Shen Qi gave a thumbs up, saying that Lao Lu's calligraphy was becoming more and more like that of a master.
After becoming the vice Vice Dean Mathematical Sciences, Lu Guozhen, who had participated in the SLW system and the Hodge conjecture project, devoted himself to calligraphy. Writing became Lu's main job, while mathematics was relegated to a secondary job.