From child prodigy to chief scientist

Chapter 122 Everyone Gets a Perfect Score!

"I see—if we follow my original description, there would be no solution for the higher-dimensional case from the beginning. No wonder I couldn't find any clues when I was researching it."

Subsequently, Xu Xiao pointed out the problems with Schultz's original conjecture from several other perspectives.

Every problem Xu Xiao pointed out had its own valid reasons, which made Schultz nod repeatedly.

At this moment, Xu Xiao was like Schultz's teacher, but even his current math teacher would find it difficult to teach Schultz much more, and sometimes he might not even be as quick to react as the students.

"Understood. I will think carefully about how to reconstruct my original problem."

Schultz thought that this was all Xu Xiao had come up with after a night's work, and even so, Schultz felt he had gained a lot.

But what Xu Xiao said next shocked Schultz once again.

"Actually, I've already considered the specific problem-solving approach. We can transform the overly stringent condition of 'improving reversibility' into the F-crystal language under crystal topology —"

The "crystal" that Xu Xiao refers to is different from the "crystal" in physics. It refers to an abstract geometric object with translational symmetry and discrete symmetry group structure.

During infinitesimal deformation, the structure of this crystal remains unchanged, just like a real crystal in the real world.

"We reconstruct the conjecture in this way—for a smooth projective cluster X, let D(X) be a domain of a reversible layer F-crystal on X, then there exists a completely faithful functor —"

Xu Xiao transformed the original research object of a single reversible layer into a systematic whole.

Xu Xiao has also made further improvements in the completeness of the core problem and mathematical framework, as well as the scope of application of the problem.

It can be said that Xu Xiao used more sophisticated and precise language to rephrase Schultz's problem.

Xu Xiao even pointed out the core difficulties of the new problem and listed some of the proof tools that might be used.

"To provide a rigorous proof, we would probably need a completely new theory of noncommutative deformation applicable to hybrid features. Existing crystal theory is still inadequate; it would be best to develop a completely new geometric language —"

As for how exactly to do this, Xu Xiao can't give a detailed answer right now; at most, he can only give a general direction.

However, for Schultz, the suggestions provided by Xu Xiao were already a pleasant surprise.

"Schultz, these are just my personal thoughts. You can consider whether you can take them into consideration. I haven't rigorously verified them myself yet."

Although some of these ideas have been recognized by the system as qualified fragments of inspiration, the fragments of inspiration themselves do not...

Xu Xiao naturally couldn't definitively say whether something was absolutely right or wrong.

"No, I think these suggestions are very valuable and have helped me find a completely new direction."

"Thank you for your suggestions. If the research progresses well, I will definitely thank you again."

After talking with Xu Xiao, Schultz couldn't wait to go back and re-examine the restructured new problem.

Xu Xiao wandered around the coffee corner for a while, and seeing that no one had asked many interesting questions today, she returned to her room.

Upon seeing Xu Xiao return, Ge Xijie immediately exclaimed excitedly, "Xu Xiao, the results are in! Guess how they are?"

"Really? We—should be able to get first place, right?"

Xu Xiao was not worried about her grades; she couldn't imagine losing any points.

He was more concerned about the performance of the other team members.

"Perfect score! Not just you, we all got perfect scores!"

"Everyone got full marks—that's fantastic!"

Xu Xiao had not expected this result at all, since only a very small number of team members can get a perfect score in the IMO every year.

Based on these results, regardless of how many points other teams score, the honor of first place in the team competition undoubtedly belongs to China.

"Xu Xiao, thank you so much for taking the time to tutor us all this time. If it weren't for you, I probably wouldn't have been able to get a perfect score."

"Yes, Xu Xiao, you deserve the most credit for our perfect score!"

Xu Xiao was also very satisfied with the result, but did not take all the credit for it.

"Don't say that. This is the result of everyone's joint efforts."

Xu Xiao knew that everyone, from the coaching staff to each player, was doing their best for this IMO.

Without sufficient cooperation from the other team members, no matter how much Xu Xiao coached them, it wouldn't be effective.

The coaching staff's efforts were equally important. They meticulously prepared for every training camp, and their accurate translation of exam papers was a crucial factor in achieving full marks.

At this moment, Fei Ran also arrived, looking radiant.

Fei Ran, representing the Chinese Math Olympiad team, just met with the organizers to discuss matters related to the results.

Of course, Fei Ran was just going through the motions, since all six members of their team had perfect scores, so there was nothing to coordinate.

However, seeing the team leaders, coaches, and athletes from other countries arguing with the organizers over scores, Fei Ran still felt a strange sense of satisfaction.

The IMO grading process is very objective and rigorous. As long as you answer the questions strictly according to the rules, you will definitely not face any disputes.

In this respect, the entire Chinese math competition team has already done their best, so naturally they don't need to be troubled by this kind of problem anymore.

After the results were reviewed, all team members' scores were confirmed, and the awards for the team and individual competitions were announced.

Although the questions in this year's IM0 were not that difficult, only 12 out of all the contestants got full marks.

All six members of the Chinese team won the gold medal with a perfect score of 42 points.

In the team competition, the Chinese team won first place with a score of 252, leading the second-place Soviet team by a full 39 points.

Schulz's German team finished third with 212 points, although Schulz easily secured a perfect score.

He scored points, but his teammates' performance was much worse.

As for the US team, not only did no one get a perfect score, but their team score was only 209 points, placing them only fourth.