Next, Li Mu stopped communicating with Fan Pairen and closed his eyes to think about the situation of his research.
His own thoughts were almost contaminated by Fan Pairen's thoughts just now. He had to quickly rethink his own thoughts and purify his thinking.
"The combination of the circle method and the finite field is the most critical step. Then, by using prime polynomials, we can break through the limits of Tao Zhexuan and Zhang Yitang's method."
“But how exactly do you combine the two?”
Li Mu's thoughts were getting closer to the truth.
As the business van moved forward, they also approached the venue of the conference.
Shang Peking University.
…
This Chinese Mathematics Academic Summit was initiated by the Chinese Mathematical Society and co-organized by Shanghai University. The opening ceremony of the conference will be held at 9 a.m. on August 13 in the auditorium of Shanghai University. Two days before the start of the conference, all scholars You can visit Shangjing University.
On August 10, Li Mu and Professor Lin rested in the hotel for the night.
The next morning, they went to Beijing University for a visit.
The School of Mathematics of Shanghai Peking University ranks among the top among all domestic universities and has a very strong teaching staff. In particular, many internationally renowned Chinese mathematicians came from the School of Mathematics of Shanghai Peking University.
Mr. Zhang Yitang completed his undergraduate and master's degrees at Beijing University.
"Is Mr. Zhang Yitang here too?"
"Yes, you might be able to communicate with him then."
Walking on the campus of Beijing University, Professor Lin Yao talked about some rumors about this conference.
"In addition, Mr. Qiu Chengtong is also here for this summit."
Li Mu was stunned: "Mr. Qiu Chengtong?"
Qiu Chengtong is one of the most famous mathematicians in the world today, and he is also the mathematician with the most honors among Chinese mathematicians. He has won almost all major awards in mathematics such as the Fields Medal, the Crafford Medal, and the Wolf Prize in Mathematics. When it’s over, all it takes is an Abel Prize to be considered a Grand Slam.
"Yes, Mr. Qiu is quite concerned about the development of domestic mathematics. He often comes to participate in domestic mathematics conferences like this."
Lin Yao nodded, and then told Li Mu some secrets in mathematics.
The feud between Qiu Chengtong and Shangjing University.
Li Mu had heard about it before, but after listening to Lin Yao's more detailed explanation, he couldn't help but be surprised.
This beam is indeed a bit big.
"Then Mr. Qiu Chengtong is actually here?"
Lin Yao smiled: "Mr. Qiu is a world-renowned mathematician after all. He came as soon as he came. It's impossible for Beijing University not to let people come. What's more, this conference is also sponsored by the Hua Mathematics Society. The Hua Mathematics Society Mr. Qiu will definitely be welcomed."
Li Mu nodded, it was the same reason.
The two of them walked into the International Mathematics Research Center of Beijing University while chatting about various gossips.
Suddenly, when passing by a certain research room, Li Mu glanced out of the corner of his eye and saw an acquaintance standing in the research room.
"Wen Huohua!"
Li Mu shouted in surprise.
This person was Wen Huohua whom he had met on the plane and discussed the hail conjecture with.
Wen Huohua was studying something on the blackboard at this time. When he heard someone calling him, he couldn't help but turn his head and look.
"You are...Li Mu?!" He said in surprise.
Li Mu smiled and walked up: "Long time no see."
"Long time no see indeed."
Wen Huohua scratched his head.
Although they kept in touch online, they only really met on the plane that day.
Now more than half a year later, Li Mu has become an internationally famous mathematical genius, but he is still the same as before, just an ordinary assistant professor at Beijing University. Although he has the reputation of being a genius because he has won two IMO gold medals in a row, After actually entering the world of mathematics, he did not make many important achievements.
So when I saw Li Mu, I didn't know what to say for a moment.
In the end, he just said: "I have read your paper proving the hail conjecture. It is indeed very exciting. I never thought that it could be proved like that."
"It's much more profound than my original research."
Li Mu smiled and said: "Although that is the case, our discussion on the plane that day still brought me the initial inspiration, so when it comes to this, I still need to thank you."
Wen Huohua waved his hands repeatedly: "You are too harsh. I don't remember what I said that was useful. The content in your paper is basically your own."
Li Mu smiled, maybe that was the case, but it must be said that when he started to study the hail conjecture, it was all based on the discussion with Wen Huohua that day.
"Okay, let's not talk about this. What are you studying now?"
As he said that, Li Mu turned his head and looked at the rows of formulas on the blackboard.
"I found that I really can't study the classic conjectures in number theory, and now I plan to devote my energy to the Langlands Program."
Wen Huohua explained.
"That's okay." Li Mu nodded, "Have you encountered a problem?"
"Yes." Wen Huohua turned his head, looked at the blackboard, and said thoughtfully: "My current problem lies in the Abelian property of infinite algebraic expansion on the Galois field."
Then, he pointed to a line of formulas on the blackboard.
"That's it, this one I don't know what to do with."
Li Mu looked over and frowned slightly, lost in thought.
Galois field is exactly the finite field.
Of course, the application of the Galois field in Wen Huohua's research is different from what he thought.
This one is more inclined to algebraic geometry, while he is used in analytic number theory.
Of course, he also studied algebraic geometry. As the most important branch of contemporary mathematics, algebraic geometry is considered to be able to solve various problems. Therefore, he cannot avoid algebraic geometry when studying mathematics.
After thinking for a moment, his eyes suddenly lit up.
"Maybe you could try this."
“Since Gal(k2/fp)(C^z) conforms to the Abelian property, it is also Gaussian equivariant in this sense, relative to α.”
"In addition, there is also a double mapping f: (S1)k1→(S2)k2 that is compatible with Galois and α, so there is also the following exchange..."
As Li Mu said this, he also picked up the blackboard pen from the side and began to write the next step on the blackboard.
When Wen Huohua next to him saw Li Mu's steps, his eyes lit up more and more.
"Yes...yes...it turns out it can still be like this!"
"I see!"
"Thanks!"
But at this moment, Li Mu suddenly stopped writing and looked at what he had written on the blackboard without moving.
"Here... Galois Domain... it seems like it can really be used like this..."
His mind, which was originally as calm as a lake, suddenly exploded with thunder.
The obstacle that finally restricted him from combining the circle method with the finite field suddenly seemed to be clear!
(End of chapter)
