The Science Fiction World of Xueba

Pierre Deligne, working at Princeton University and the Princeton Institute for Advanced Study, is the grand slam winner of Fields Medal, Craford Medal, Wolf Prize and Abel Prize, and a representative figure of the Grothendieck School , has profound attainments in the fields of algebraic geometry and number theory, and ranks among the top three among the current living mathematicians.

"Tao, have you proved the BSD conjecture?" Deligne smiled slightly in surprise.

"No, it's not me. It's one of my students, Pang Xuelin. You should still have an impression of him. He published "Proof of the André-Oort Conjecture of Polarized Abelian Varieties" in the Annual Journal of Mathematics half a year ago. You are the reviewer." !"

Deligne was slightly taken aback. He had heard of Pang Xuelin's name. In recent years, he has made certain achievements in analytic number theory and additive combination, especially the paper half a year ago, which further advanced the proof of the BSD conjecture. He has taken a small step, and he can be regarded as a rising star in the mathematics world, with the potential for a Fields Medal in the future.

But to say that he can prove the BSD conjecture, Deligne is somewhat skeptical.

There are many mathematicians who have the potential to win the Fields Medal, but there are not many mathematicians in the world who have the strength to prove the level of the Seven Millennium Problems.

In the past thirty years, in addition to Andrew Wiles who proved Fermat's last theorem and Perelman who proved the Poincaré conjecture, in recent years, Langlands and Motive, two core problems in arithmetic geometry, have made revolutions. Sexual contribution, the so-called German academic god Peter Schulz, shows a similar potential.

Even the famous Tao Zhexuan is not so good.

The BSD conjecture is of great significance. Once it is proved, it means that a large number of related inferences in the field of algebraic geometry and number theory will become theorems, which is of great significance to the development of algebraic geometry and number theory.

If Pang Xuelin proves the BSD conjecture, he will definitely book the next Fields Medal three years in advance, and it is no problem to compete for the Abel Prize early next year.

"Tao, please send me the thesis first."

Deligne said.

Tao Zhexuan laughed and said, "Okay, I'll send it to you right away. In addition, Pang has already submitted the paper to the "Annals of Mathematics". This time, he might ask you to be a reviewer."

Deligne smiled and said, "That's just right. If Pang really proves the BSD conjecture, it will be my honor to be the reviewer of this paper."

Then Terence Tao contacted Faltings, Andrew Wiles, John Coates, Kolivakin and other big names in mathematics, asking them to help verify.

This is the benefit of having a great mentor. The depth bomb in the mathematics world dropped by Pang Xuelin has already caused waves in the top circle of mathematics circles before it started to explode.

And this wave will soon turn into a big tsunami.

...

Pang Xuelin was ignorant of all that happened in the mathematics world.

At 1:30 in the afternoon, Pang Xuelin was awakened by the piercing ringtone of his mobile phone.

Pang Xuelin opened his eyes in a daze, took a look at the phone, quickly pressed the answer button, and said, "Grandma, what's wrong?"

"Xiao Lin, remember to go home for dinner tonight. Grandma made you your favorite sweet and sour fish."

"Okay, grandma."

Pang Xuelin agreed without hesitation, chatted with grandma for a few more words, and then hung up the phone.

Afterwards, Pang Xuelin got up to wash, changed his clothes, opened the door directly, and prepared to go to the cafeteria to eat something, and then went to grandparents' house.

At this time, the door of room 801 on the opposite side just opened.

"Professor Pang, it's such a coincidence that you are going out too." Qi Xin said with a clever smile when he saw Pang Xuelin.

"Hello, Qi...Qi Xin, long time no see!" Pang Xuelin thought for a long time before recalling the name of his beautiful neighbor.

After staying in Three-Body World for more than three months, he almost lost his memory of Qi Xin.

"Long time no see?" Qi Xin was slightly taken aback, "Didn't we meet yesterday?"

Pang Xuelin reacted immediately, and smiled awkwardly: "Sorry, I remembered wrong..."

"..."

Qi Xin didn't know how to reply. Are so-called geniuses so weird?

After chatting with Qi Xin for a few words, the two went downstairs together and bid farewell to each other.

After Pang Xuelin had his meal in the cafeteria, he drove to the retired teacher's apartment on Yuquan Road Campus of Jiangcheng University.

It is said that they are apartments, but they are actually small villas, which are specially allocated to some senior retired professors of Jiangcheng University. Pang Xuelin's grandfather, Pang Shaoan, lives in this.

Pang Shaoan is a professor of the Department of Mathematics of Jiangcheng University. He studied under the famous mathematician Mr. Chen Jiangong. To some extent, he can be regarded as the successor of the Jiang University School (Differential Geometry School), one of the three major schools of mathematics in the world.

In 1952, the Department of Mathematics was restructured, Jiang University’s Mathematics Department was merged into Fudan, and a large number of Jiang’s masters and students headed by Chen Jiangong and Su Buqing moved to Shanghai. As a result, the Fudan School of Mathematics was born in China, and it has continued to this day.

In 1956, Mr. Chen Jiangong was transferred back to Jiangcheng to serve as the vice president of Jiangda University.

It was at that time that Pang Shaoan was admitted to Jiang University and became a student of Mr. Chen Jiangong.

After graduation, Pang Shaoan stayed at the school to teach, and he never left Jiangda until his retirement.

In Pang Shao'an's heart, he always had the dream of reviving the Jiang University School, but the Department of Mathematics of Jiang University was severely injured after the adjustment of departments in the past, and it has not been ranked in the domestic mathematics circle.

Coupled with the chaos in the domestic mathematics circle these years, Pang Shaoan gradually gave up.

Until his grandson Pang Xuelin showed outstanding mathematical talent since he was a child, Pang Shaoan put his mind on Pang Xuelin.

Over the years, Pang Shaoan has spared no effort in cultivating his grandson, and Pang Xuelin did not disappoint him. From the IMO gold medal in high school to his Ph.D. graduation, he has become famous in the international mathematics community and has become one of the most outstanding mathematicians of the young generation in China.

Now that Pang Xuelin has returned to Jiangda to teach, he has inherited Pang Shaoan's mantle.

Pang Xuelin carried half a watermelon he bought on the road and entered the small courtyard where Pang Shaoan lived.

Under the grape trellis in the courtyard, Pang Shaoan was playing chess with Professor Yao Jianzhong who lived next door to him.

Yao Jianzhong is a theoretical physicist, mainly engaged in the research of quantum field theory and elementary particle physics theory. He once determined the upper limit of the mass of the elementary particle top quark with his collaborators, and found that the three coupling constants of weak and strong electricity are unified under the framework of supersymmetry. It has laid the foundation for accurate testing of the standard model and exploration of new physics, and has a good reputation in the world.

He and Pang Shaoan were old friends for decades, and they had been working in Jiang University. After retiring, they had nothing to do, so they played chess with Pang Shaoan from time to time, and occasionally invited Pang Shaoan and his wife to travel.

Seeing Pang Xuelin come in, Yao Jianzhong said with a smile: "Xiao Lin, you can count yourself here. How is this time? Are you used to returning to Jiang University? I heard that Lao Liu rated you as a doctoral supervisor and professor. 23-year-old Professor Jiang Dazheng, tsk tsk, I am afraid that there is only one in the country.”

Pang Xuelin smiled and said, "Grandpa Yao is good, I'm fine, but I joined the job relatively late this year, and the deadline for doctoral students has passed, so Dean Liu asked me to teach abstract algebra to undergraduates first."

Pang Shaoan on the side said: "This is a good thing. Don't think that you can be lazy when you become a professor. There is a bad atmosphere in domestic colleges and universities. It is believed that it is enough for a professor to do a good job in scientific research and publish papers. The teaching work can be handed over to his subordinates." Graduate students or lecturers do it. This is a very bad phenomenon. These graduate students and lecturers themselves are not sure about the content of the textbooks, and how to pass on their knowledge to students, let alone impart cutting-edge knowledge. Universities are to cultivate talents. Professors are set up to cultivate talents, teaching and educating people is a bounden duty, you must not play tricks."

"Grandpa, I understand!"

Yao Jianzhong said with a smile: "Old Pang, you still like to preach. Xiao Lin, don't listen to him. Now is the time when your academic vitality is at its peak. You still have to do research. I heard from Lao Pang that you recently studied the BSD conjecture We are stuck in a bottleneck. If you really have no clue, you can consider changing the direction and let go of the BSD conjecture first. Sometimes scientific research is the most important thing to combine work and rest. Maybe someday there will be inspiration."

Pang Shaoan also said: "Xiao Lin, you, Grandpa Yao, are right. BSD guesses that such a subject is too difficult. If you really don't have a clue, it's time for you to consider changing the direction."

Pang Xuelin laughed a little embarrassedly, and just about to say that he had solved the BSD conjecture, his cell phone rang suddenly, and the caller ID was Liu Tingbo, dean of the School of Mathematics, Jiangcheng University.

"Grandpa, I'll answer the phone first."

As he spoke, Pang Xuelin pressed the answer button.

Liu Tingbo's surprised voice came from the other end of the phone: "Little Pang, have you proved the BSD conjecture?"

"Dean Liu, how do you know?"

Pang Xuelin was slightly taken aback. It was less than ten hours since he uploaded to arXiv. Did the news come out so quickly?

Liu Tingbo said: "Just now Qiu Chengtong called me, saying that our Jiang University has a genius who proved the BSD conjecture. I heard that in the United States, Tao Zhexuan has initially verified your proof, which even alarmed Faltings , Denelli, Andrew Wiles, arXiv is already boiling, and mathematicians from all over the world are studying your paper. Tell me, how sure are you of the proof of the BSD conjecture?"

Pang Xuelin said without hesitation: "One hundred percent!"

This is the proof given by the system. It has been certified by hundreds of top mathematicians in another world. The whole proof process tends to be perfect. If there is a problem, then there is no ghost!

"..."

Liu Tingbo suddenly didn't know how to respond, this kid, why are you talking so full of words? If you say it with 90% certainty, maybe you will believe me, but 100%; Liu Tingbo's heart is pounding instead.

"Xiao Pang, where are you now, I'll go find you right away!"

Pang Xuelin said: "I'm at my grandfather's place!"

"Okay, just wait, I'll be right there!"

When Pang Xuelin hung up the phone, he received two puzzled and shocked eyes.

Pang Shaoan's mouth trembled slightly, and he said in disbelief: "Xiao Lin, what did Liu Tingbo tell you just now? Has the BSD conjecture been proved by you?"

Pang Xuelin nodded and said, "Grandpa, you heard me right, I did prove the BSD conjecture!"