Top Student at Their Peak
Chapter 351 - 129: Truth Is More Important Than Feelings_5

Chapter 351: Chapter 129: Truth Is More Important Than Feelings_5

How did Qiao Yu know he hadn’t slept in the middle of the night?

Pan Jingyuan thought self-mockingly, then casually answered the phone.

As a result, the first thing Qiao Yu said left him stunned.

"Hello, Professor Pan, didn’t I promise you earlier that if I came up with a solution to the Geometric Langlands Conjecture, I would notify you first?"

Pan Jingyuan immediately questioned: "Hmm? Have you found a way?"

"Yes, I have some preliminary ideas, but there’s a problem. I don’t know how to handle it."

Pan Jingyuan was momentarily startled and instinctively asked: "What problem?"

"I read those papers. Professor Sam and Professor Frank’s work mainly focused on proving that each characteristic layer contributes to the white noise in some way to demonstrate the local-global correlation. But my approach involves introducing the LGIR tool to solve this issue.

Simply put, it’s direct denoising. By creating a ’Noise Reduction Blurring Operator’ within LGIR, I can identify and filter out ’white noise’ components potentially introduced by characteristic layers, thus ensuring the local system’s structure remains a clean mapping globally.

This would allow us to embed the local singular point system into the global algebraic group representation. In other words, each singular point’s characteristic layer would exist in an analytically merged state, directly avoiding the white noise issue brought about by characteristic layer endomorphisms.

Similarly, this would allow us to disregard the effects of conjugate ridge singular points, ensuring that on a global scale, each conjugate ridge singular point behaves no differently from other smooth points. Of course, this requires a slight amendment to the applicability conditions of the Ambidexterity theorem, but it will enable the theorem to hold in a broader geometric context."

Really, just a few words from Qiao Yu left Pan Jingyuan dumbfounded.

It took him a while to realize the hidden meaning in Qiao Yu’s words, and then he instinctively asked: "Qiao Yu, do you have any opinions on Professor Sam and Professor Frank?"

"Huh? How could that be? I don’t even know those two professors, how could I have any opinions on them? I just feel very apologetic to you. Professor Pan, when I was studying the Geometric Langlands Conjecture, it was always you teaching me. As a result, I accidentally found a small flaw, which made me feel guilty considering the help you provided me with.

So, during this time, I’ve been thinking about how to resolve this flaw. Fortunately, I had some insights today, so I contacted you at the first opportunity. I feel this method truly has potential. Maybe during my trip to France in the next couple of days, I can organize my thoughts.

Professor Tian just mentioned that you will also be going to Paris for the conference. We can discuss my ideas in detail then!"

Pan Jingyuan then realized there was a lot of noise on Qiao Yu’s phone and instinctively asked: "Are you already at the airport?"

"Yes, I arrived early. Director Tian is up ahead coordinating the procedures. I called you in my spare time. Oh, Director Tian is calling me, I can’t talk with you further, Professor Pan. Let’s discuss more when we meet in Paris."

"Wait, hello, hello..." Pan Jingyuan called out twice, but unfortunately, the other side had already hung up, and he thought about calling back, but no one answered for a long time.

But it’s understandable, after all, it’s an international trip, and especially since it should be Qiao Yu’s first time going abroad, the procedures are quite cumbersome. There’s indeed no time to answer calls at this moment.

In fact, he should be content that Qiao Yu found time to make this call.

But damn, how would he sleep tonight?

Alright, this is not something that could be solved with an email, thought Pan Jingyuan, and decisively dialed Danis’s number.

His ticket was already booked, and his itinerary couldn’t be changed. But Danis should have more flexibility than him.

Of course, the most important thing was that he needed to discuss this matter with Danis.

Honestly, this was quite a coincidence.

Qiao Yu was supposed to deliver a thirty-minute report at the upcoming World Algebraic Geometry Conference.

Of course, in such a formal academic conference, invited speakers are required to provide abstracts, and even detailed scripts for the review committee. Given Qiao Yu’s age, the reviewers might even discuss with him before the report to ensure the content is presented reasonably within the thirty-minute timeframe, without exceeding or omitting key information points.

Pan Jingyuan even knew that Qiao Yu’s report was on the conjugate ridge singular point.

After all, Qiao Yu’s paper on the upper bound point prediction on curves would only be published in Ann.Math after the conference. And the video of Qiao Yu questioning the proof of the Geometric Langlands Conjecture had been circulating in the academic community for a while, garnering recognition from numerous experts.

But if Qiao Yu could truly find a way to solve the problem before his presentation, Pan Jingyuan believed the conference review committee would definitely agree to allow him to modify the content during his report temporarily and present his complete solution.

Because if Qiao Yu could find a method to solve the conjugate ridge singular point issue before the conference, it would bring a new breakthrough for the proof of the Geometric Langlands Conjecture.

It also means that the proof of the Geometric Langlands Conjecture might be reconsidered by the mainstream academic community. Moreover, it means that this conference will likely feature an outstanding and significantly impactful paper in algebraic geometry.

Qiao Yu’s report will undoubtedly become the highlight of the conference.