Chapter 174: Definitely Telling You the Truth!
Qiao Yu received a WeChat photo of two people together, Senior Brother Chen smiling foolishly. Qiao Yu took a look and ignored it.
Well, you know, young people who haven't been in a relationship are like this. Once they have a girlfriend, they can't wait to announce it to the world.
Little do they know, showing off their love makes it end quickly.
But it's understandable, for a man who's been single for thirty years, being slow in this regard is normal.
The next day, though the semester hadn't started, it was the end of the Spring Festival holiday, the first official workday, and Old Xue gave Qiao Yu a call.
To discuss the problem of affine Weyl group modal space.
Yes, at Qiao Yu's suggestion, Old Xue had already started dealing with this issue. Anyway, it's related to group theory, and Professor Xue was busy with related problems recently, so they just researched it together.
Mainly because Director Tian was pressing too hard, and Qiao Yu really had no interest in this problem.
Of course, it was also beneficial for Xue Song. The 1.5 million research funds from Zhang Yuanling's side had already been received, and participating in this research naturally allowed reimbursement from it.
Qiao Yu was equivalent to pulling a project for Xue Song, except this project was not that easy.
Because affine Weyl groups have reflection and translation operations in high-dimensional spaces, especially the highly complex geometric properties of the double-sided cell cavities.
So, you need to first determine the relationship between the modal path Γ∗ and group action invariants, and ensure these symmetries are compatible with the periodicity of the modal space.
For instance, if the modal distance dM defined in the modal space is used as the geometric distance to weigh group actions, you need to prove that dM is conservative under group actions.
This is obviously very troublesome. Xue Song couldn't find a way to prove it, so he made a call to find Qiao Yu.
This is probably the treatment an authority gets.
When people encounter a professional problem and don't know how to solve it for a while, the first person they think of who can help is naturally the undisputed authority.
Recently, feeling exceptionally energetic, Qiao Yu was indeed helpful and directly gave Xue Song two suggestions: equivariant mapping and invariant theory.
Of course, these were just suggestions; how to use these tools to complete the proof was Xue Song's job.
After all, Qiao Yu was also very busy. He still felt that solving the Riemann Conjecture was just a thin layer of paper away.
Naturally, he couldn't focus his energy on these small projects.
Even those who don't understand mathematics know that the Riemann Conjecture would bring more value, whether in fame or fortune.
However, after discussing academics, Qiao Yu still gossiped a bit casually: "Mr. Xue, Chen Zhuoyang is with Zhang Xiao, you didn't know that, right?"
"Oh? Chen Zhuoyang told Zhang Xiao?"
"Huh? You also knew that Chen Zhuoyang likes Zhang Xiao?"
"I'm not blind. The day you had your birthday, Chen Zhuoyang's behavior was already very obvious."
"Then don't you really intend to find someone?"
"I'll pass! I'm already past that age, women are nowhere near as interesting as mathematics!"
"Mr. Xue is indeed perceptive!" Qiao Yu sincerely praised.
Of course, it was just a word of praise.
People at different ages have different insights. For example, for someone like Old Xue, who's almost forty, hormones are almost not secreting anymore, so naturally, he has no interest in women.
"By the way, what have you been busy with recently? Still focusing on the aviation computational problems?"
After chatting about irrelevant love, Xue Song took the initiative to show concern.
Actually, he also wanted to advise Qiao Yu not to waste too much time on these computational problems. After all, the Generalized Modal Axiomatic System has already sparked a wave of research excitement in the international academic community.
It is widely acknowledged that even though the axiomatic system constructed by Qiao Yu is also very abstract, at least in the early stages, it's easier to understand compared to the Langlands Program.
Having been doing research in this area, Xue Song might even be more focused than Tian Yanzhen and Yuan Zhengxin on the international academic community's discussions on the Generalized Modal Axiomatic System.
At least as far as he knows, several research teams have already started trying to extend the framework built by Qiao Yu in geometric algebra and physical dynamic systems.
Because of its potential for geometric and application transformation, this framework is easier to be promoted initially, especially as the universality of geometric descriptions attracts many young people strongly.
After all, Qiao Yu has already reduced the upper bound of the prime number to 6 using this system.
Following this momentum, Xue Song can foresee that Qiao Yu's Generalized Modal Axiomatic System may be called the Qiao Yu Program as soon as next year.
This is evident from the citation count of Qiao Yu's paper published in Ann. Math.
In just three short months, it has already been cited over 900 times and is heading towards breaking a thousand.
This citation volume in the field of mathematics can be rated as phenomenal. Such a situation where a pure mathematics paper reaches this level is extremely rare.
Not to mention three months, even reaching close to a thousand citations over several years is generally that kind of groundbreaking paper.
The last time such a spectacle happened was in 2012 when Geoffrey Hinton and others published a machine deep learning paper in the ImageNet Challenge, breaking a thousand citations in three months.
But that paper, though it involved a lot of linear algebra and probability theory, was essentially led by computer science.
Qiao Yu's paper belongs to the pure mathematics field, without even crossing disciplines. From this, the current heat of the Generalized Modal Axiomatic System in the world mathematics community can be seen.
Aside from the system's inherent capability to solve a series of problems, it also unifies complex mathematical symbol issues, which is another reason why it is favored by young mathematicians.