Chapter 296: Chapter 120: The Name of a Genius_2

After presenting a counterexample in public yesterday that could possibly invalidate their proof process, today he provided a complete proof process. He even attended an academic lecture in between. If he were a bit older, his efficiency probably wouldn’t be so high.

However, at this moment, Pan Jingyuan’s mindset was completely relaxed.

People are like this: when sensing that something bad is about to happen, the waiting process is actually the most torturous. Once the result is out, even if it’s not a good result, the mindset can often quickly adjust.

Just like his mentor Professor Dennis said, since an issue has been identified, it’s no more than considering how to solve it. The difficulty is significant, but it won’t be greater than starting from scratch.

Anyway, even if those five papers get published eventually, his next work would still be to continue thinking and researching on local geometric Langlands issues. Now, it’s just a matter of having to extend this process a bit.

The proof process provided by Qiao Yu was actually not long, and together with the cited references, it was only three pages.

Silently finishing reading the proof process reminded him of the little bits and pieces when he first entered this field under Dennis’s guidance many years ago. At that time, he knew almost nothing about geometric representation theory, and most of the foundational knowledge was learned under Dennis’s guidance.

It’s been over six years now, almost seven…

After sighing in his heart, Pan Jingyuan looked around in the meeting room but did not find any flaws. Those professors who previously thought Qiao Yu’s ideas were somewhat wild imagination were still frowning in thought or had started whispering to those around them.

Pan Jingyuan thought for a moment, then simply stood up and, amidst several people’s gazes, walked over to Yuan Zhengxin’s side and asked, “Elder Yuan, I want to send a copy of the proof process to Professor Dennis.”

Actually, there was no need to ask, even if he sent it, there would be no issue.

The main reason for specifically asking was because it involved Qiao Dian, which was a type of singularity discovered by Qiao Yu. Although it wasn’t a great achievement on a mathematical level, it was still a new result.

Even if only out of basic courtesy, he needed to ask.

“Of course.” Yuan Zhengxin smiled and nodded.

The meeting records all had original videos, and professors from world-renowned universities were involved, so there was no possibility of anyone plagiarizing Qiao Yu’s ideas.

“Thank you.” Pan Jingyuan nodded in gratitude, then returned to his place, took out his phone, opened a commonly used scanning app, recorded Qiao Yu’s proof process into his phone, and sent it directly to Dennis’s email.

After doing all this, Pan Jingyuan began to consider what he would say in the upcoming discussion.

As one of the members of the seven-person team researching the Geometric Langlands Conjecture, Pan Jingyuan knew that everyone would look forward to hearing his thoughts in a while.

Even if he didn’t want to speak, it would be unavoidable, so he might as well be generous.

No matter what, after looking carefully, he couldn’t find any faults…

…

Across the ocean, at the Berkeley Branch.

Univores Frank was receiving one of the initiators of the research team, Professor Sam, in his office.

Apart from a bit of unpleasantness caused by knowing about something earlier, Frank’s mood had been quite good during this time.

If nothing unexpected happened, their paper was about to be published. The promotion by several main partners and the series of lectures held during this time significantly shortened the review process.

The main reviewers had mostly given their consent for approval.

This kind of result could hardly undergo a double-blind review.

Thirteen years ago, one of the team leaders, Professor Dennis, had already published the paper: “Singular Support of Cohesive Layers and the Geomorphic Langlands Conjecture.”

The entire mathematics community worldwide knew about the content they were researching, and only those few experts had the qualifications and capability to review a paper of this caliber, it was impossible to keep it hidden.

Five years ago, Dennis proposed a series of ideas, such as “white noise.”

In the classic field of signal processing, sound waves can be constructed from sine waves, whose frequencies correspond to pitches in sound. Those who have studied Fourier Transform know that this information can write sound into a combination of sine waves:

Starting with a sine wave of amplitude 1, let the sine wave multiply by an appropriate loudness factor, then add these sine waves together. The sum of all different sine waves of amplitude 1 is “white noise.”

The role of characteristic layers in the Geometric Langlands Program is similar to sine waves. Dennis identified something named the Poincaré Layer, whose role is similar to “white noise.” Dennis just wasn’t sure if each characteristic layer could be represented in the Poincaré Layer.

He and Sam joined this team at that time.

They cooperatively proved that each characteristic layer could somehow contribute to the “white noise,” and sent the results to Dennis. After getting recognition, they joined Dennis’s team, becoming an important opposite pole of the team.

Three years have passed, and finally, it’s time to bear fruit. Frank’s mood was naturally cheerful.

He had his own goals and plans, and now every step was progressing steadily toward the goals he hoped for.

Next, he had already chosen his topic, which was the connection between a type of number theory problem and Riemann surface objects. It could be basically understood as an application of the Geometric Langlands Conjecture.

This time he will form his own team, and he will be the main leader tackling this difficult problem.