Ultimate Scholar

Next, Li Mu stopped communicating with Fan Pairen, and closed his eyes to think about his own research.

His own thinking was almost polluted by Fan Pairen's thoughts just now, so he has to rethink his own thinking quickly and purify his thinking.

"The combination of the circle method and the finite field is the most critical step, and then using prime polynomials can break through the limits of Tao Zhexuan and Zhang Yitang's method."

"But how exactly do you combine the two?"

The thinking in Li Mu's heart is getting closer to the truth.

And as the business van moved, they also approached the venue of the conference.

Shangjing University.

...

The Huaguo Mathematics Academic Summit was initiated by the Huaguo Mathematical Society and co-organized by Shangjing University. The opening ceremony of the conference will be held at 9:00 am on August 13 in the auditorium of Shangjing University. It is possible to visit and visit at the University of Peking.

On August 10th, Li Mu and Professor Lin had a rest in the hotel for the whole night.

The next morning, they went to Beijing University for a visit.

The School of Mathematics of Peking University ranks among the top among all universities in China, and has a very strong faculty. In particular, many of the internationally renowned Chinese mathematicians came from the School of Mathematics of 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 Shangjing University, Professor Lin Yao talked about some rumors about this conference.

"In addition, Mr. Qiu Chengtong also came to this summit."

Li Mu was taken aback: "Mr. Qiu Chengtong?"

Qiu Chengtong is one of the most famous mathematicians in the world today, and also the mathematician with the most honors among Chinese mathematicians. He has won almost all the awards in the field of mathematics, such as the Fields Medal, the Craford Medal, and the Wolf Mathematics Prize. It's over, just one Abel Award short, and it can be considered a Grand Slam.

"Yes, Mr. Qiu is quite concerned about the development of our domestic mathematics. He often attends such domestic mathematics conferences."

Lin Yao nodded, and then told Li Mu some secrets of mathematics.

The grievances 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 being surprised.

This beam is indeed a bit big.

"Then Mr. Qiu Chengtong is still here?"

Lin Yao smiled: "Mr. Qiu is a world-renowned mathematician after all, he came here as soon as he came, and it is impossible for Beijing University not to let him come, not to mention that this conference was also initiated by the Huaguo Mathematical Society, and the Huaguo Mathematical Society Mr. Qiu will definitely be very welcome."

Li Mu nodded his head, which is also true.

The two walked into the International Mathematics Research Center of Shangjing University while chatting about various gossips.

Suddenly, when passing a certain research room, Li Mu glanced away from 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 who met on the plane and discussed the hail conjecture with him.

Wen Huohua was studying something at the blackboard at this time, when he heard someone calling him, he couldn't help turning his head to look.

"You are... Li Mu?!" He said in surprise.

Li Mu walked up with a smile: "Long time no see."

"Long time no see indeed."

Wen Huohua scratched his head.

Although they have been in contact on the Internet since then, the only time they actually met was on the plane that day.

Now more than half a year later, Li Mu is already a well-known mathematics genius in the world, but he is still the same as before, just an ordinary assistant professor at Beijing University. After really entering the world of mathematics, he did not make too many important achievements.

So seeing Li Mu, he didn't know what to say for a while.

In the end, he just said: "I have read your paper proving the hail conjecture. It is indeed very exciting. I never thought that I could prove it like that."

"It's much deeper than my original research."

Li Mu smiled and said, "Although that's true, the discussion we had on the plane that day still brought me the initial inspiration, so I still need to thank you for mentioning this."

Wen Huohua waved his hands again and again: "You are serious. I don't remember what I said that was useful. The content in your paper is basically your own."

Li Mu smiled, maybe that's the case, but it must also 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?"

With that said, Li Mu turned his head and looked at the lines on the blackboard.

"I found that I really can't study those classic conjectures in number theory, and now I plan to devote my energy to the Langlands program."

Wen Huohua explained.

"That's fine." Li Mu nodded, "Have you encountered a problem?"

"Yes." Wen Huohua turned his head, looked at the blackboard, and thought about it: "The Abelian property of infinite algebraic extensions on the Galois field, my problem now lies in this."

Then, he pointed to a row of formulas on the blackboard.

"Here it is, this one leaves me wondering what to do with it."

Li Mu looked at the past, his brows were slightly frowned, and he was lost in thought. \b

A Galois field is a finite field.

Of course, the use of Galois fields in Wen Huohua's research is different from what he thought.

This is more inclined to algebraic geometry, and he is used in analytic number theory.

Of course, he also has research on 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 in his research on mathematics.

After thinking for a while, his eyes suddenly lit up.

"Maybe you can 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 compatible with Galois and α, so there is also the following exchange..."

As Li Mu said, he also picked up the blackboard pen from the side and began to write the next step on the blackboard.

And Wen Huohua next to him saw Li Mu's steps, and his eyes lit up even more.

"Yes... yes... so it can still be like this!"

"I see!"

"Thanks!"

But at this moment, Li Mu suddenly stopped writing, looked at what he had written on the blackboard, and remained motionless.

"Here...Galois Field...it seems that it can really be used in this way..."

His originally flat lake-like mind suddenly set off a thunderstorm.

The last obstacle that restricted him from combining the round method with the finite field suddenly seemed to be clear!