Guo Haitao found that Duan Yun's brain path had reached an unbelievable level, although the verification formulas he listed seemed scattered and unrelated, but after several related annotations and arguments, all the formulas suddenly became logically tight, and seemed to really touch the core of Hodge's conjecture.

Duan Yun's dissertation is very long, more than twice as long as a typical doctoral dissertation, which shows that the difficulty of Hodge's conjecture is indeed amazing.

Many of these formulas seem to be the most basic mathematical formulas, but they are used by Duan Yun just right, and there are many staggering mathematical disciplines involved, and there is no shortage of high-end mathematical theories.

The more Guo Haitao looked at it, the more surprised he became, he really didn't expect Duan Yun to have reached such a high attainment in mathematics, even compared to him, it was even better!

Although Guo Haitao had discovered that Duan Yun was indeed at a very high level in mathematics, this time it was far beyond his imagination!

"Lao Guo, let's eat. At this time, Zhao Ru walked to the door of the study and said to her husband.

"Don't worry, you eat first. Guo Haitao's eyes still did not take off the computer screen, and his mind was completely focused on Duan Yun's paper.

"Hmm. Zhao Ru turned around and left lightly when she heard this, she understood that once her husband entered the work state, he could not be disturbed.

When Guo Haitao saw the middle of the paper, his eyes were already a little sore, the formulas used by Duan Yun were becoming more and more complex, and there were more and more data, even a domestic math master like Guo Haitao wanted to completely keep up with Duan Yun's verification ideas, and it was a little difficult.

It's like a car driving in a sprawling modern city, turning left and right, sometimes crossing narrow alleys, sometimes leaping over broken bridges...... This kind of constant transformation of the brain pathway, it is difficult to keep up with the train of thought for anyone!

So much so that Guo Haitao spent nearly an hour, and after reading this paper, he still didn't seem to fully understand the idea of the entire paper, and naturally he couldn't be sure whether Duan Yun had really verified this Hodge conjecture.

After taking a sip of tea, Guo Haitao leaned back on the chair and closed his eyes to recuperate.

Although Duan Yun's paper seems complicated and logical, the data is so complex that Guo Haitao can't keep up with the train of thought thoroughly, after all, a day's work consumes a lot of energy, and he needs a short rest.

Guo Haitao still didn't believe that Duan Yun could really successfully prove Hodge's conjecture.

Ten minutes later, Guo Haitao opened his eyes again and looked at Duan Yun's paper from the beginning.

This time, in order to prevent confusion, Guo Haitao specially took paper and pen and made a relationship diagram of the argument data.

Minutes and seconds passed, and the hour hand in the study was already pointing to eight o'clock in the evening.

Guo Haitao's data diagram is getting bigger and bigger, but to his surprise, the solution ideas in Duan Yun's paper are quite rigorous, and until now, Guo Haitao has found any loopholes and errors in it. 、

The more he saw the end, the more shocked Guo Haitao became, because by this time, Duan Yun's argument was getting closer and closer to the argument put forward by Hodge's conjecture!

Guo Haitao's heartbeat began to accelerate suddenly, like a gambler who has bet all his value and is waiting for the cards to be opened!

He understood what it meant to crack this Hodge conjecture, and this piece of paper alone was enough to send Duan Yun to the pinnacle of the world's mathematical community!

In the end, after Guo Haitao watched Duan Yun's last verification step, the relationship diagram he drew on the paper finally formed a perfect closed circuit, which also proved that Duan Yun's paper was correct, and he really solved this top mathematical problem that has plagued the world's mathematical community for a whole century!

"Huh......" Guo Haitao let out a sigh of relief, and at this moment, his mood calmed down.

The boy has tears and doesn't flick.

But Guo Haitao's eyes began to moisten at this moment, and after taking off his glasses, Guo Haitao gently wiped the corners of his eyes.

The clock in the study pointed to half past ten in the evening, which was an extremely memorable moment for Guo Haitao.

Duan Yun brought him surprises again and again, but this time was obviously the biggest surprise.

Even Guo Haitao felt jealous of others for the first time, and he who has always stood at the peak of Chinese mathematics finally deeply realized what is outside the sky!

After a while, Guo Haitao carefully saved Duan Yun's documents on his computer, got up and walked to the living room.

"Let's eat. Zhao Ru, who was knitting a sweater in the living room, saw her husband walk out of the study, got up and lifted the lid of the meal that had been heated several times, and motioned for Guo Haitao to sit down.

"Not busy. Guo Haitao shook his head when he heard this, walked to the side of the living room, and picked up the phone of the landline.

After dialing a shortcut key, Guo Haitao put the microphone to his ear.

"Lao Guo, what's the matter?" After the phone was connected, the voice of Jiang Chengdong, the principal of Huaqing, came from the other end of the microphone.

The background of the microphone's sound is very noisy, Jiang Chengdong should obviously be socializing in the restaurant, and a few voices of toasting Jiang Chengdong can be heard sporadically.

"Principal Jiang, I have something important to report to you. Guo Haitao said in a solemn tone.

"What's the matter!?" Hearing that Guo Haitao's tone was a little wrong, Jiang Chengdong asked repeatedly.

"That's right, my apprentice Duan Yun, who I let you meet last time, has already completed a paper, so I want to talk to you about the publication of the paper in person tomorrow......" Guo Haitao said.

"Ah, that's it. Jiang Chengdong on the other end of the phone suddenly relaxed when he heard his words, and only heard him continue: "That's okay, you send your apprentice's paper to my email first, and I will read it when I have time." ”

Jiang Chengdong obviously had little interest in Duan Yun's paper, but because of Guo Haitao's status in the school and the entire academic community, he still replied politely.

Generally speaking, the papers written by teachers and students of the school must first pass the review of the supervisor, and then be submitted to the academic affairs office of the school, and after passing the review and appraisal of relevant experts, they will finally be reviewed by the principal and sent to relevant academic journals for submission.

Therefore, Jiang Chengdongken directly looked at this paper, which actually gave Guo Haitao a lot of face, after all, according to the procedure, this is a leapfrog.

Besides, now that the New Year is approaching and the school is on vacation, Jiang Chengdong has every reason to ignore Guo Haitao's matter.

"This paper is really important, and I need to meet with you tomorrow. Guo Haitao's tone became serious, only to hear him continue: "This paper is a major event related to our school and the entire Chinese academic community, if it is delayed, you and I will become historical sinners in the Chinese academic community!"