After the opening ceremony of the World Congress of Mathematicians in the morning, hundreds of invited mathematicians will start their presentations in several sessions at Queen's University, according to the protocol, in accordance with the rules and regulations, in the afternoon.

As the absolute focus of the conference, the youngest Fields Medal winner in history, Duan Yun received great courtesy from ICM, and he was invited to give two one-hour presentations at the main venue of the conference.

This is the first time in the history of mathematics in the world, and no one has been invited to give two one-hour lectures before, even by the most famous mathematicians of the era!

In fact, at the beginning, the World Congress of Mathematicians only planned to let Duan Yun give an hour-long report, but since the day before the opening ceremony, ICM Chairman Fefman and Duan Yun communicated in the restaurant for a whole day, he was shocked to find that Duan Yun's attainments and talents in mathematics were far higher than he expected, and even fundamentally subverted Fefman's previous basic understanding of topology and other mathematical fields!

Moreover, whether it is Duan Yun's paper on the Hodge conjecture or the paper on the Riemann conjecture, it is obviously impossible to explain all two papers in an hour.

In addition, when Fefman and Duan Yun communicated that day, they were surprised to find that Duan Yun had other more subtle solutions to these two papers, and if this part of the content was added, Duan Yun would need a longer reporting time, so in the evening of the same day, after Fefman's body recovered slightly, he contacted the senior members of the ICM organizing committee, and after research, he decided to make an exception for Duan Yun to make two one-hour speeches.

By around 2 p.m., the main venue at Queen's University was already full, and many people had already arrived more than an hour in advance, which showed the importance they attached to the presentation.

It is not surprising that Duan Yun's report will be so popular, after all, Duan Yun is the youngest Fields Medal winner in history, and compared with the content of the reports of other mathematicians this year, Duan Yun's two papers are far better than other mathematical papers in terms of difficulty and popularity.

Ten minutes before the start of the afternoon report meeting, Duan Yun, dressed in a suit and leather shoes, finally appeared in the venue.

Because it was a public report meeting, the admission restrictions were relaxed, and he couldn't bear Ouyang Xiangnan's entanglement, Duan Yun had no choice but to find the chairman of ICM and ask for an admission certificate, bringing Ouyang Xiangnan into the venue.

"So many people?" Following Duan Yun's side, when Ouyang Xiangnan entered the venue and saw that it was already full of thousands of spectators, he couldn't help but say in surprise.

Ouyang Xiangnan naturally didn't know anything about advanced mathematics, but she wanted to soak in Duan Yun's side, so she pestered Duan Yun to participate in this report meeting.

In the past, when he was in China, because Duan Yun was a public figure and the relationship between the two was special, in order to avoid affecting the relationship between Duan Yun and Tang Yan, Ouyang Xiangnan rarely appeared in public with Duan Yun.

But now that she is abroad, Ouyang Xiangnan naturally doesn't have so many evasions, so even if she doesn't have the slightest interest in mathematics, as long as she can be with Duan Yun, she feels very satisfied.

"I told you not to come here, but you didn't listen. Duan Yun frowned when he heard this, and then said: "You should be attending a film festival, and you can meet a big star or something, let me tell you, except for me, most of the people at this conference are some old men, and it is estimated that you will fall asleep in the venue by yourself in a while......"

"Aren't you a star?" Ouyang Xiangnan pursed his lips and smiled, and then said: "You just treat me as your fan." ”

"I'm a fart star!" Duan Yun pouted.

As soon as Duan Yun's words fell, more than ten reporters suddenly rushed in front of him, and without saying a word, he picked up the camera and took pictures of Duan Yun.

"Click!"

Duan Yun's eyes were dazzling with dazzling flashlights, and just as he wanted to take the road out and go to the rostrum, the mathematicians in the audience at the venue all stood up one after another after seeing him, and the applause sounded like a tide!

Such a grand welcome scene surprised Ouyang Xiangnan beside Duan Yun, although she had already learned the news of Duan Yun's award, she didn't expect Duan Yun to be so popular here!

"Thank you!" Duan Yun politely replied to the crowd that welcomed him in fluent English, and then arranged Ouyang Xiangnan behind a seat that had already been reserved in the front row, and strode onto the podium under the leadership of ICM staff.

According to the content of the report reported in advance, Duan Yun's first explanation in the afternoon will be the paper on the Hodge conjecture that he wrote more than two months ago.

When Duan Yun's Hodge conjecture paper was first published, it caused a huge sensation in the global mathematical community, especially after learning that this paper was written by a Chinese young man who was only 19 years old, and it deeply shook the entire mathematical community.

Therefore, these world-renowned mathematicians present today are in the same mood as Fefman, the chairman of ICM, and they want to see how high the real level of this genius boy from the East is.

"Colleagues, seniors, good afternoon. After walking to the center of the podium, Duan Yun quickly calmed down, and after seeing him glance around the stage, he said, "The title of my first report today is "The Argument for the Hodge Conjecture......"

With the beginning of Duan Yun's explanation, the large display screen on the podium appeared the content of Duan Yun's paper, which was all courseware that Duan Yun had done in advance.

In fact, before this conference, mathematicians around the world had already studied the paper on the Hodge conjecture published by Duan Yun, and some people could even write all the steps and bytes of this paper verbatim, after all, the intelligence of people who can become mathematicians is much higher than that of ordinary people, and many people can remember it.

However, what these scientists at the scene never expected was that Duan Yun did not cite his original paper as a report this time, but adopted a new method with more concise steps used in the communication with ICM Chairman Fefman yesterday.

"Ladies and gentlemen, this is a new method I have recently thought of to prove the theory of the Hodge conjecture......" Duan Yun on the stage looked at ease, his speech was full of confidence, and he continued: "This new proof method will be a one-third fewer steps than my previous paper. ”

As soon as Duan Yun's words fell, there was an uproar at the scene, and everyone looked at Duan Yun again, their eyes full of deep doubt.

The expressions of the audience were almost exactly the same as when Feffman first saw Duan Yun prove Hodge's conjecture with a new method, because in the eyes of many people, Duan Yun's previous Hodge conjecture paper was perfect, and no one could think of a more concise method than this one......